. The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected. C, HF are cut into two equal parts in the points N, Y bythe same planes: therefore the prisms LXCOMN, RVFSTYare of the same altitude; and, therefore, as the base LXC to OF EUCLID. 261 the base RVF; that is, as the triangle ABC to the triangle B. , so a is the prism having the triangle LXC for its b
. The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected. C, HF are cut into two equal parts in the points N, Y bythe same planes: therefore the prisms LXCOMN, RVFSTYare of the same altitude; and, therefore, as the base LXC to OF EUCLID. 261 the base RVF; that is, as the triangle ABC to the triangle B. , so a is the prism having the triangle LXC for its base, ^ —v—-^and OMN the triangle opposite to it, to the prism of which the a Cor. 32-base is the triangle RVF, and the opposite triangle STY: and ^^•because the two prisms in the pyramid ABCG are equal toone another, and also the two prisms in the pyramid DEFHequal to one another, as the prism of which the base is the pa-rallelogram KBXL and opposite side MO, to the prism havingthe triangle LXC for its base, and OMN the triangle oppositeto it, so is the prism of which the base •> is the parallelogram b 7. , and opposite side TS, to the prism of which the baseis the triangle RVF, and opposite triangle STY. Therefore,componendo, as the prisms KBXLMO, LXCOMN together G H.
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Keywords: ., bookauthoreuclid, bookcentury1800, booksubje, booksubjectgeometry
