[331] CHAP. II.
ALL chimney fireplaces, without exception, whether they are designed for burning wood or coals, and even those which do not smoke, as well as those which do, may be greatly improved by making the alterations in them here recommended; for it is by no means merely to prevent chimneys from smoking that these improvements are recommended, but it is also to make them better in all other respects as fireplaces; and when the alterations proposed are properly executed, which may very easily be done with the assistance of the following plain and simple directions, the chimneys will never fail to answer, I will venture to say, even beyond expectation. The room will be heated much more equally and more pleasantly with less than half the fuel used before; the fire will be more cheerful and more agreeable, and the general appearance of the fireplace more neat and elegant; and the chimney will never smoke.
[332] That what I have to offer on this subject may be the more easily understood, it will be proper to begin by explaining the precise meaning of all those technical words and expressions which I may find it necessary or convenient to use. By the throat of a chimney, I mean the lower extremity of its canal, where it unites with the upper part of its open fireplace. This throat is commonly found about a foot above the level of the lower part of the mantle, and it is sometimes contracted to a smaller size than the rest of the canal of the chimney, and sometimes not. Plate X, Fig. 5, shows the section of a chimney on the common construction, in which d e is the throat. Fig. 6 shows the section of the same chimney altered and improved, in which d i is the reduced throat. The breast of a chimney is that part of it which is immediately behind the mantle. It is the wall which forms the entrance from below, into the throat of the chimney in front, or towards the room. It is opposite to the upper extremity of the back of the open fireplace, and parallel to
Before I proceed to give particular directions respecting the exact forms and dimensions of the different parts of a fireplace, it may be useful to make such general and practical observations upon the subject as can be clearly understood without the assistance of drawings; for the more complete the knowledge of any subject is, which can be acquired without drawings, the more easy will it be to understand the drawings when it becomes necessary to have recourse to them. The bringing forward of the fire into the room, or rather bringing it nearer to the front of the opening of the fireplace, - and the diminishing of the throat of the chimney, being two objects principally had in view in the alterations in fireplaces here recommended, it is evident that both these may be attained, merely by bringing forward the back of the chimney. - The only question therefore is, how far it should be brought forward? - The answer is short, and easy to be understood, - bring it forward as far as possible, without diminishing too much the passage which must be left for the smoke. Now as this passage, which, in its narrowest part, I have called the throat of the chimney, ought, for reasons which are fully explained in the foregoing chapter, to be imme-
In the course of my numerous experiments upon chimneys, I have taken much pains to determine the width proper to be given to this passage, and I have found, that, when the back of the fireplace is of a proper width, the best width for the throat of a chimney, when the chimney and the fireplace are at the usual form and size, is four inches. Three inches might sometimes answer, especially where the fireplace is very small, and the chimney good, and well situated; but as it is always of much importance to prevent those accidental puffs of smoke which are sometimes thrown into rooms by the carelessness of servants in putting on suddenly too many coals at once upon the fire, and as I found these accidents sometimes happened when the throats of chimneys were made very narrow, I found that, upon the whole, all circumstances being well considered, and advantages and disadvantages compared and balanced, four inches is the best width that can be given to the throat of a chimney; and this, whether the fireplace be destined to burn wood, coals, turf,
[335] In fireplaces destined for heating very large halls, and where very great fires are kept up, the throat of the chimney, may, if it should be thought necessary, be made four inches and an half, or five inches wide; but I have frequently made fireplaces for halls, which have answered perfectly well, where the throats of the chimneys have not been wider than four inches. It may perhaps appear extraordinary, upon the first view of the matter, that fireplaces of such different sizes should all require the throat of the chimney to be of the same width; but when it is considered that the capacity of the throat of a chimney does not depend on its width alone, but on its width and length taken together, and that in large fireplaces, the width of the back, and consequently the length of the throat of the chimney, is greater than in those which are smaller, this difficulty vanishes. And this leads us to consider another important point respecting open fireplaces, and that is, the width which it will, in each case, be proper to give to the back. - In fireplaces as they are now commonly constructed, the back is of equal width with the opening of the fireplace in front; but this construction is faulty on two accounts. - First, in a fireplace so constructed, the sides of the fireplace, or covings, as they are called, are parallel to each other, and consequently ill contrived to throw out into the room the heat they receive from the fire in the form of rays; - and
Where a chimney is designed for warming a room of a middling size, and where the thickness of the wall of the chimney in front, measured from the front of the mantle to the breast of the chimney, is nine inches, I should set off four inches more for the width of the throat of the chimney, which, supposing the back of the chimney to be built upright, as it always ought to be, will give thirteen inches for the depth of the fireplace, measured upon the hearth from the open
[337] But I will suppose that in altering such a chimney it is found necessary, in order to accommodate the fireplace to a grate or stove already on hand, to make the fireplace sixteen inches wide. In that case, I should merely increase the width of the back to the dimensions required, without altering the depth of the chimney or increasing the width of the opening of the chimney in front. - The covings, it is true, would be somewhat reduced in their width by this alteration; and their position with respect to the plane of the back of the chimney would be a little changed; but these alterations would produce no bad effects of any considerable consequence, and would be much less likely to injure the fireplace, than an attempt to bring the proportions of its parts nearer to the standard, by increasing the depth of the chimney, and the width of its opening in front; - or than an attempt to preserve that particular obliquity of the covings which is recommended as the best (135 degrees), by increasing the width of the opening of the fireplace, without increasing its depth. In order to illustrate this subject more fully, we will suppose one case more. - We will suppose
When the width of the opening of the fireplace in front is very great compared with the depth of the fireplace, and with the width of the back, the covings in that case being very wide and consequently very oblique, and the fireplace very shallow, any sudden motion of the air in front of the fireplace (that motion, for instance, which would be occasioned by the clothes of a woman passing hastily before the fire, and very near it) would be apt to cause eddies in the air, within the opening of the fireplace, by which puffs of smoke might easily be brought into the room.
[339] From all that has been said, it is evident that the points of the greatest importance, and which ought most particularly to be attended to in altering fireplaces upon the principles here recommended, are, the bringing forward the back to its proper place, and making it of a proper width. - But it is time that I should mention another matter upon which it is probable that my reader is already impatient to receive information. Provision must be made for the passage of the chimney-sweeper up the chimney. - This may easily be done in the following manner: - In building up the new back of the fireplace, when this wall, (which need never be more than the width of a single brick in thickness,) is brought up so high that there remains no more than about ten or eleven inches between what is then the top of it and the inside of the mantle, or lower extremity of the breast of the chimney, - an opening, or doorway, eleven or twelve inches wide, must be begun in the middle of the back, and continued quite to the top of it, which, according to the height to which it will commonly be necessary to carry up the back, will make the opening about twelve or fourteen inches high; which will be quite sufficient to allow the chimney-sweeper to pass. When
I observed above, that the new back, which it will always be found necessary to build in order to bring the fire sufficiently forward, in altering a chimney constructed on the common principles, need never be thicker than the width of a common brick. - I may say the same of the thickness necessary to be given to the new sides, or covings, of the chimney; or if the new back and covings are constructed of stone, one inch and three quarters, or two inches, in thickness, will be sufficient. - Care should be taken in building up these new walls to unite the back to the covings in a solid manner. Whether the new back and covings are constructed of stone, or built of bricks, the space between them and the old back and covings of the chimney ought to be filled up, to give greater solidity to the structure. This may be done with loose rubbish, or pieces of broken bricks, or stones, provided the work be strengthened by a few layers
[341] From these descriptions it is clear, that, where the throat of the chimney has an end, that is to say, where it enters into the lower part of the open canal of the chimney, there the three walls which form the two covings and the back of the fireplace all end abruptly. It is of much importance that they should end in this manner; for were they to be sloped outward and raised in such a manner as to swell out the upper extremity of the throat of the chimney in the form of a trumpet, and increase it by degrees to the size of the canal of the chimney, this manner of uniting the lower extremity of the canal of the chimney with the throat would tend to assist the winds which may attempt to blow down the chimney, in forcing their way through the throat, and throwing the smoke backward into the room; but when the throat of the chimney ends abruptly, and the ends of the new walls form a flat horizontal surface, it will be much more difficult for any wind from above to find and force its way through the narrow passage of the throat of the chimney. As the two walls which form the new covings of the chimney are not parallel to each other, but inclined, presenting an oblique surface towards the
[342] For the same reason, that is to say, to prevent eddies, the breast of the chimney, which forms that side of the throat that is in front, or nearest to the room, should be neatly cleaned off, and its surface made quite regular and smooth. This may easily be done by covering it with a coat of plaster, which may be made thicker or thinner in different parts as may be necessary in order to bring the breast of the chimney to be of the proper form. With regard to the form of the breast of a chimney, this is a matter of very great importance, and which ought always to be particularly attended
[343] The current of air, which, passing under the mantle, gets into the chimney, should be made gradually to bend its course upwards, by which means it will unite quietly with the ascending current of smoke, and will be less likely to check it, or force it back into the room. Now this may be effected with the greatest ease and certainty, merely by rounding off the breast of the chimney or back part of the mantle, instead of leaving it flat, or full of holes and corners; and this, of course, ought always to be done. I have hitherto given no precise directions in regard to the height to which the new back and covings ought to be carried. This will depend not only on the height of the mantle, but also, and more especially, on the height of the breast of the chimney, or of that part of the chimney where the breast ends and the upright canal begins. The back and covings must rise a few inches, 5 or 6 for instance, higher than this part,
[344] I mentioned above, that the space between the walls which form the new back and covings, and the old back and sides of the fireplace, should be filled up; - but this must not be understood to apply to the space between the wall of dry bricks, or the tile which closes the passage for the chimney-sweeper, and the old back of the chimney; for that space must be left void, otherwise, though this tile (which at most will not be more than two inches in thickness) were taken away, there would not be room sufficient for him to pass. In forming this doorway, the best method of proceeding is to place the tile or flat piece of stone destined for closing it in its proper place, and to build round it, or rather by the sides of it, taking care not to bring any mortar near it, in order that it may be easily removed when the doorway is finished. - With regard to the rabbet which should be made in the doorway to receive it and fix it more firmly in its place, this may either be formed at the same time when the doorway is built, or it may be made after it is finished, by attaching to its bottom and sides, with strong mortar, pieces of thin roof tiles. Such as are about half an inch in thickness will be best for this use; if they are thicker, they will diminish too much the opening of the doorway, and will likewise be more liable to be torn away by the chimney-sweeper in passing up and down the chimney.
[345] I ought, perhaps, to apologize for having been so very particular in these descriptions and explanations; but it must be remembered that this chapter is written principally for the information of those who, having had few opportunities of employing their attention in abstruse philosophical researches, are not sufficiently practised in these intricate investigations to seize with facility, new ideas, and consequently, that I have frequently been obliged to labour to make myself understood. I have only to express my wishes that my reader may not be more fatigued with this labour than I have been; - for we shall then most certainly be satisfied with each other. - But to return once more to the charge. There is one important circumstance respecting chimney fireplaces destined for burning coals, which still remains to be further examined; - and that is the grate. Although there are few grates that may not be used in chimneys constructed or altered upon the principles here recommended, yet they are not, by any means, all equally well adapted for that purpose. - Those whose construction is the most simple, and which, of course, are the cheapest, are beyond comparison the best, on all accounts. - Nothing being
In placing the grate, the thing principally to be attended to is to make the back of it coincide with the back of the fireplace; - but as many of the grates now in common use will be found to be too large, when the fireplaces are altered and improved, it will be necessary to diminish their capacities by filling them up at the back and sides with pieces of fire-stone. When this is done, it is the front of the flat piece of fire-stone which is made to form a new back to the grate, which must be made to coincide with and mark part of the back of the fireplace. - But in diminishing the capacities of grates with pieces of fire-stone, care must be taken not to make them too narrow. The proper width for grates destined for rooms of a middling size will be from 6 to 8 inches, and their length may be diminished more or less, according as the room is heated with more or less difficulty, or as the weather is more or less severe. - But where the width of a grate is not more than 5 inches, it will be very difficult to prevent the fire from going out.
[347] It frequently happens that the iron backs of grates are not vertical, or upright, but inclined backwards. - When these grates are so much too wide as to render it necessary to fill them up behind with fire-stone, the inclination of the back will be of little consequence; for by making the piece of stone with which the width of the grate is to be diminished in the form of a wedge, or thicker above than below, the front of this stone, which in effect will become the back of the grate, may be made perfectly vertical, and, the iron back of the grate being hid in the solid work of the back of the fireplace, will produce no effect whatever; but, if the grate be already so narrow as not to admit of any diminution of its width, in that case it will be best to take away the iron back of the grate entirely, and, fixing the grate firmly in the brickwork, cause the back of the fireplace to serve as a back to the grate. - This I have very frequently done, and have always found it to answer perfectly well. Where it is necessary that the fire in a grate should be very small, it will be best, in reducing the grate with fire-stone, to bring its cavity, destined
Being persuaded that, if the improvements in chimney fireplaces here recommended should be generally adopted (which I cannot help flattering myself will be the case), it will become necessary to reduce, very considerably, the sizes of grates, I was desirous of showing how this may, with the greatest safety and facility, be done. Where grates, which are designed for rooms of a middling size, are longer than 14 or I5 inches, it will always be best, not merely to diminish their lengths, by filling them up at their two ends with fire-stone, but, forming the back of the chimney of a proper width, without paying any regard to the length of the grate, to carry the covings
[349] I cannot help flattering myself that the directions here given in regard to the alterations which it may be necessary to make in fireplaces, in order to introduce the improvements proposed, will be found to be so perfectly plain and intelligible that no one who reads them will be at any loss respecting the manner in which the work is to be performed; - but as order and arrangement tend much to facilitate all mechanical operations, I shall here give a few short directions respecting the manner of laying out the work, which may be found useful, and particularly to gentlemen who may undertake to be their own architects, in ordering and directing the alterations to be made for the improvement of their fireplaces.
Suppose the annexed figure No. I to represent the ground plan of such a fireplace; A B being the opening of it in front, A C and B D the two sides or covings, and C D the back. Figure 2 shows the elevation of this fireplace.
From the middle C of this line (A B) another line c d, is to be drawn perpendicular to it, across the hearth, to the middle d, of the back of the chimney. A person must now stand upright in the chimney, with his back to the back of the chimney, and hold a plumb-line to the middle of the upper part of the breast of the chimney (d fig. 5,), or where the canal of the chimney begins to rise perpendicularly; - taking care to place the line above in such a manner that the plumb may fall on the line c d, drawn on the hearth from the middle of the opening of the chimney in front to the middle of the back, and an assistant must mark the precise place e, on that line where the plumb falls. This being done, and the person in the chimney having quitted his station, 4 inches are to be set off on the line c d, from e towards d; and the point f, where these 4 inches end (which must be marked with chalk, or with a pencil), will show how far the new back is to be brought forward. Through f draw the line g h, parallel to the line A B, and this line g h will show the direction of the new back, or the ground line upon which it is to be built. The line c f will show the depth of the new fireplace; and if it should happen that c f is
In all cases where the width of the opening of the fireplace in front (A B) happens to be not greater, or not more than two or three inches greater, than three times the width of the new back of the chimney (i k), this opening may be left, and lines drawn from i to A and from k to B will show the width and position of the front of the new covings; - but when the opening of the fireplace in front is still wider, it must be reduced, which is to be done In the following manner: From c, the middle of the line A B, c a and c b must be set off equal to the width of the back (i k), added to half its width (f i ), and lines drawn from i to a and from k to b will show the ground plan of the fronts of the new covings. When this is done, nothing more will be necessary than to build up the back and covings, and, if the fireplace is designed for burning coals, to fix the grate in its proper place, according to the directions already given. - When the width of the fireplace is reduced, the edges of the covings a A and b B are to make a finish with the front of the jambs. And in general it will be best, not only for the sake of the appearance of the chim
Fig. 4 shows a front view of the chimney after it has been altered according to the directions here given. - By comparing it with Fig. 2 (which shows a front view of the same chimney before it was altered), the manner in which the opening of the fireplace in front is diminished may be seen. - In Fig. 4, the under part of the doorway by which the chimney-sweeper gets up the chimney is represented by white dotted lines. The doorway is represented closed. I shall finish this chapter with some general observations relative to the subject under consideration; with directions how to proceed where such local circumstances exist as render modifications of the general plan indispensably necessary. Whether a chimney be designed for burning wood upon the hearth, or wood or coals in a grate, the form of the fireplace is, in my opinion, most perfect when the width of the back is equal to the depth of the freplace, and the opening of the fireplace in front equal to three times the width of the back, or, which is the same thing, to three times the depth of the fireplace. But if the chimney be designed for burning wood upon the hearth, upon handirons, or dogs, as they are called, it will sometimes be necessary to accommodate the width of the back to the length of the wood; and when this is the case, the covings must be accommodated to the width of the back and the opening of the chimney in front.
[353] Thus, for example, supposing the wall of the chimney in front, from the upper part of the breast of the chimney to the front of the mantle, to be only 4 inches (which is sometimes the case, particularly in rooms situated near the top of a house), in this case, if we take 4 inches for the width of the throat, this will give 8 inches only for the depth of the fireplace, which would be too little, even were coals to be burned instead of wood. - In this case I should increase the depth of the fireplace at the hearth to 12 or 13 inches, and should build the back perpendicular to the height of the top of the burning fuel (whether it be wood burned upon the hearth, or coals in a grate), and then, sloping the back by a gentle inclination forward, bring it to its proper place, that is to say, perpendicularly under the back part of the throat of the chimney. This slope (which will bring the back forward 4 or 5 inches, or just as much as the depth of the fireplace is increased), though it ought not to be too abrupt, yet it ought to be quite finished at the height of eight or ten inches above the fire, otherwise it may perhaps cause the chimney to smoke; but when it is very near the fire, the heat of the fire will enable the current of rising smoke to over-
* Having been obliged to carry backward the fireplace in the manner here described, in order to accommodate it to a chimney whose walls in front were remarkably thin, I was surprised to find, upon lighting the fire, that it appeared to give out more heat into the room than any fireplace I had ever constructed. This effect was quite unexpected; but the cause of it was too obvious not to be immediately discovered. The flame rising from the fire broke against the part of the back which sloped forward over the fire, and this part of the back being soon very much heated, and in consequence of its being very hot, (and when the fire burned bright it was frequently quite red-hot,) it threw off into the room a great deal of radiant heat. It is not possible that this oblique surface (the slope of the back of the fireplace) could have been heated red-hot merely by the radiant heat projected by the burning fuel; for other parts of the fireplace nearer the fire, and better situated for receiving radiant heat, were never found to be so much heated; and hence it appears that the combined heat in the current of smoke and hot vapour which rises from an open fire may be, at least in part, stopped in its passage up the chimney, changed into radiant heat, and afterwards thrown into the room. This opens a new and very interesting field for experiment, and bids fair to lead to important improvements in the construction of fireplaces. I have of late been much engaged in these investigations, and am now actually employed daily in making a variety of experiments with grates and fireplaces, upon different constructions, in the room I inhabit in the Royal Hotel in Pall Mall; and Mr. Hopkins, of Greek Street, Soho, Ironmonger to his Majesty, and Mrs. Hempel, at her Pottery at Chelsea, are both at work in their different lines of business, under my direction, in the construction of fireplaces upon a principle entirely new, and which, I flatter myself, will be found to be not only elegant and convenient, but very economical. But as I mean soon to publish a particular account of these fireplaces, with drawings and ample directions for constructing them, I shall not enlarge further on the subject in this place. It may, however, not be amiss just to mention here, that these new invented fireplaces not being fixed to the walls of the chimney, but merely set down upon the hearth, may be used in any open chimney; and that chimneys altered or constructed on the principles here recommended are particularly well adapted for receiving them.
The public in general, and more particularly those tradesmen and manufacturers whom it may concern, are requested to observe, that, as the author does not intend to take out himself, or to suffer others to take out, any patent for any invention of his which may be of public utility, all persons are at full liberty to imitate them, and vend them, for their own emolument, when and where and in any way they may think proper; and those who may wish for any further information respecting any of those inventions or improvements will receive (gratis ) all the information they can require by applying to the author, who will take pleasure in giving them every assistance in his power.
The plan fig. 7, and elevation fig. 8, show how much the width of the opening of the fireplace in front is diminished, and how the covings in the new fireplace are formed. A perfect idea of the form and dimension of the fireplace in its original state, as also after its alteration, may be had by a careful inspection of these figures. I have added the drawing fig. 10, merely to show how a fault, which I have found workmen in general whom I have employed in altering fireplaces are very apt to commit, is to be avoided. - In chimneys like that represented in this figure, where the jambs A and B project far into the room, and where the front edge of the marble slab o, which forms the coving, does not come so far forward as the front of the jambs, the workmen in constructing the new covings are very apt to place them, not in the line c A, which they ought to do, but in the line c o, which is a great fault. The covings of a chimney should never range behind the front of the jambs, however those jambs may project into the room; but it is not absolutely necessary that the covings should make a finish with the internal front corners of the jambs, or that they should be continued from the back c
[357] Were the new coving to range with the front edge of the old coving o, the obliquity of the new coving would commonly be too great; or the angle d c o would exceed 135 degrees, which it never should do, or at least never by more than a very few degrees. No inconvenience of any importance will arise from making the obliquity of the covings less than what is here recommended; but many cannot fail to be produced by making it much greater; and as I know from experience that workmen are very apt to do this, I have thought it necessary to warn them particularly against it. Fig. 11 shows how the width and obliquity of the covings of a chimney are to be accommodated to the width of the back, and to the opening in front and depth of the fireplace, where the width of the opening of the fireplace is less than three times the width of the new back. As all those who may be employed in altering chimneys may not perhaps know how to set off an angle of any certain number of degrees, or may not have at hand the Instruments necessary for doing it, I shall here show how an instrument may be made which will be found to be very useful in laying out the work for the bricklayers. Upon a board about 18 inches wide and 4 feet long or upon the floor or a table, draw three equal squares A, B, C, fig. 12, of about I2 or 14
[358] As chimneys which are apt to smoke will require the covings to be placed less obliquely in respect to the back than others which have not that defect, it would be convenient to be provided with several bevels, - three or four, for instance, forming different angles. - That already described, which may be called No. 1, will measure the obliquity of the covings when the fireplace can be made of the most perfect form; another, No. 2, may be made to a smaller angle, d c e; and another, No. 3, for chimneys which are very apt to smoke, at the still smaller angle d c i. Or a bevel may be so contrived, by means of a joint, and an arch, properly graduated, as to serve for all the different degrees of obliquity which it may ever be necessary to give to the covings of fireplaces. Another point of much importance, and particularly in chimneys which are apt to smoke, is to form the throat of the chimney properly, by
[359] This workmen are apt to neglect to do, probably on account of the difficulty they find in working where the opening of the canal of the chimney is so much reduced. - But it is absolutely necessary that these walls should be carried up 5 or 6 inches at least above the upper part of the breast of the chimney, or to that point where the wall which forms the front of the throat begins to rise perpendicularly. - If the workman has intelligence enough to avail himself of the opening which is formed in the back of the fireplace to give a passage to the chimney-sweeper, he will find little difficulty in finishing his work in a proper manner. In placing the plumb-line against the breast of the chimney, in order to ascertain how far the new back is to be brought forward, great care must be taken to place it at the very top of the breast, where the canal of the chimney begins to rise perpendicularly; otherwise, when the plumb-line is placed too low, or against the slope of the breast, when the new back comes to be raised to its proper height, the throat of the chimney will he found to be too narrow. Sometimes, and indeed very often, the top of the breast of a chimney lies very high, or far above the fire (see figures 13 and 14, where d shows the top of the breast of the chimney); when this is the case, it must be brought lower, otherwise the chimney will be very apt to smoke. - So much has been said, in the first chapter of this essay, of the
[360] Where the too great height of the breast of a chimney is owing to the great height of the mantle (see fig. 13 ), or, which is the same thing, of the opening of the fireplace in front, which will commonly be found to be the case, the only remedy for the evil will be to bring down the mantle lower; - or, rather, to make the opening of the fireplace in front lower, by throwing across the top of this opening, from one jamb to the other, and immediately under the mantle, a very flat arch, - a wall of bricks and mortar, supported on straight bars of iron, or a piece of stone (h, Fig. 13). - When this is done, the slope of the old throat of the chimney, or of the back side of the mantle, is to be filled up with plaster, so as to form one continued flat, vertical, or upright plane surface with the lower part of the wall of the Canal of the chimney, and a new breast is to be formed lower down, care being taken to round it off properly, and make it finish at the lower surface of the new wall built under the mantle; - which wall forms, in fact, a new mantle.
[360] Where the too great height of the breast of a chimney is occasioned, not by the height of the mantle, but by the too great width of the breast, in that case (which, however, will seldom be found to occur), this defect may be remedied by covering the lower part of the breast with a thick coating of plaster, supported, if necessary, by nails or studs driven into the wall which forms the breast, and properly rounded off at the lower part of the mantle. - See fig. I4.
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