PROPOSITION X. THEOREM.
TWo Circles cut each other only in two Points.
If the two Circles ABD, ABFD, did cut each other in three Points, A,
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 144
B, D; seek (by the 2d.) the Center C of the Circles AE, BD, and draw the Lines CA, CB, CD.
Demonstration. The Lines AC, BC, DC, drawn from the Center C, to the Circumference of the Circle AE, BD, are equal: Now the same Lines are also drawn to the Circumference of the Circle AB, FB: thence (by the 9th.) the Point C shall be the Center of the Circle ABFD. So two Circles which cut each other shall have the same Center; which is contrary to the fifth Proposition.