PROPOSITION XVII. THEOREM.
Division of Reason.
IF Magnitudes compounded be proporti∣onal, they shall be proportional also when divided.
| A, | B, | C, | D. |
| 5. | 3. | 10. | 6. |
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 ...
About this Item
- 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.
- Rights/Permissions
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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 1, 2024.
Pages
Page 237
shall be also the same reason of A to B, as of C to D:
Demonstration. Seeing it is supposed that there is the same reason of AB to B, as of CD to D, AB will contain an aliquot part of B, as many times as CD contains a like aliquot part of D: now this aliquot part is found as many times in B, as the like is found in D: thence taking away B from AB, and D from CD, A will yet have as many aliquot parts of B as C containeth like aliquot parts of D; and by consequence there shall be the same reason of A to B as of C to D.