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CHAP. LII. F Of Roof Bevel at one end, and Square at the other; the Gable end Square, the Bevel end Hipt.
SUppose the bredth of the Roof 20 foot, the length more on one side then on the other, as in the design A. B C. D. then draw the gable end A. E. B. whose sides from A. to E. and from E to B is ¾ of the bredth of the house, or is the length of the principal Rafters; then draw the perpendicular E. F. the height of the Roof from the floor; and if kneed, then from the top of the knee, as in the design of a kneed Rafter before-going.
The sides of the Roof which makes the Ridge G. H. I. K. to be drawn as is described in the fore-going design.
Divide the bredth of the Roof in two equal parts, as F. L. Q then take the distance L. N. which is the ½ bredth of the house, and make it parallel to C. Q. D. as M. L. M. and L. will be the point whose perpendiculars O. T. will meet the principal Rafters and hips.
To find the length of each Hips distinct one from the other. Of the longest Hip.
DRaw the Diagonal line L. C. and take the heighth of the gable end E. F. and place it perpendicular to L. C. at O. So have you the heighth of the Roof perpendicular from O. L. equal to E. F. the gable end; and the line O. C. will be the length of the hip Rafter, which will be equal to C. H. the skirt for that side of the hip, and C. P. the side of that hip end.
To find the back of the longest Hip C. O.
LAy the Ruler from the point M. to Q. and mark where it cuts the Dia∣gonal line at R. then set one foot of the Compasses at the point R. and extend the other foot till it touch the line C. O. at the nearest distance, then make it touch the Diagonal line at S. then draw the lines M. S. Q. which is the back of the hip for that corner of the Roof.
To find the shortest Hip.
DRaw the Diagonal line of L. D. and take E. F. the perpendicular of the gable end as before, & place it from L. to T. perpendicular to L. D. then draw the line T. D. which is the length of the hip for that corner, and is equal to the skirt D. I and the side of that hip D. P. which when erected, will meet with the other principals perpendicular to the point L.
To find the Back of this Hip.
LAy the Ruler from the point Q to the point M. and mark where it cuts the Diagonal line L. D. at V. Extend the Compasses from the point V. to touch the line T. D. at the nearest distance, and carry that distance on the Diagonal line to the point W. Then draw the prickt lines M. W. Q. which will make the back of that hip fit for that Bevel corner.
And this Rule serves for all Bevel Roofs whether over or under pitch.