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.
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
Subject terms: Geometry -- Early works to 1800.; Mathematical analysis.
Link to this Item: http://name.umdl.umich.edu/A38722.0001.001
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 June 10, 2024.

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PROPOSITION XXVI. THEOREM.

THe equal Angles which are at the Center, or at the Circumference of equal Circles, have for Base equal Arks.

If the equal Angles D and I are in the Center of equal Circles ABC, EFG; the Arks BC, FG, shall be equal. For if the Ark BC was greater or lesser than the Ark FG: seeing that the Arks are the measure of the Angles; the Angle D would be greater or lesser than the Angle I.

And if the equal Angles A and E be in the Circumference of the equal Circles; the Angles D and I which are the double of the Angles A and E, being also equal; the Arks BC, FG, shall be also equal.