The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...
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Title
The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...
Author
Dechales, Claude-François Milliet, 1621-1678.
Publication
London :: Printed for Philip Lea ...,
1685.
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Subject terms
Geometry -- Early works to 1800.
Mathematical analysis.
Cite this Item
"The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ..." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A38722.0001.001. University of Michigan Library Digital Collections. Accessed May 29, 2024.
Pages
descriptionPage 373
PROPOSITION VIII. THEOREM.
LIke Pyramids are in triple Ratio of their homologous Sides.
If the Pyramids are Triangular, they may be converted into Prisms, which shall be also like, seeing they would have some Planes, which would be the same as those of the Pyramids. Now like Prisms are in Triple Ratio of their homologous sides, (by the 39th. of the 11th.) thence the Pyramids which are the Third of them (by the preceding) shall be in Triple Ratio of their homologous sides.
If the Pyramids are Polygons, they may be reduced into Triangular Py∣ramids.
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