Elements of geometry and trigonometry . Let S-ABC, S-ahc, be those two pyramids ; let their equiva-lent bases ABC, ahc, bo situated in the same plane, and let ATbe their common altitude. If they arc not equivalent, let S-ahc ïiUOK VII. 15U be the smaller : aiul suppose Aa to be the altitude of a prism,which having ADC for iis base, is equal to their difterence. Divide the altitude AT into equal parts A^, xij, yz, &c. eachless thaji A(/, ami let k be (jiie of iliosc parts ; through the pointsof division pass |)lai»cs [)aralk;l to the plane of the bases ; thecorresponding sections formed by thes
Elements of geometry and trigonometry . Let S-ABC, S-ahc, be those two pyramids ; let their equiva-lent bases ABC, ahc, bo situated in the same plane, and let ATbe their common altitude. If they arc not equivalent, let S-ahc ïiUOK VII. 15U be the smaller : aiul suppose Aa to be the altitude of a prism,which having ADC for iis base, is equal to their difterence. Divide the altitude AT into equal parts A^, xij, yz, &c. eachless thaji A(/, ami let k be (jiie of iliosc parts ; through the pointsof division pass |)lai»cs [)aralk;l to the plane of the bases ; thecorresponding sections formed by these planes in the two pyra-mids will be resj)ectively ecjuivalent, namely DEF to def^ GlIIto glii, 6cc. (Prop. 111. Cor. 2.). This being granted, upon the triangles ABC, DEF, GUI, & as bases, construct exterior prisms having for edges theparts AD, D(i, GIv, ôcc, of the edge SA ; in like manner, onbases def\ ghi, /dm, cV:c. in the second pyramid, construct inte-rior prisms, having for edges the corresponding parts of Sa.
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Keywords: ., bo, bookcentury1800, booksubjectgeometry, booksubjecttrigonometry
