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" C, they are equiangular, and also have their sides about the equal angles proportionals (def. 1. 6.). Again, because B is similar to C, they are equiangular, and have their sides about the equal angles proportionals (def. 1. 6.) : therefore the figures... "
The Elements of Euclid, with many additional propositions, and explanatory ... - Page 94
by Euclides - 1855
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...they are equiangular, and have their fides about the equal angles proportio- / A nals*. therefore the figures A, B are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals. Wherefore the rectilineal figures...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
.../ ** \. / B >. fore the figures A, B L. A / \ are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals....figures A and B are equiangular b, and have their fides about the b '• •**• *• equal angles proportionalsC. Therefore A is fimilar* to B. c11-j....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...angles proportionals *. therefore the figures A, B are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals. . Wherefore the rectilineal figures A r.nd B arc equiangular b, and have their fides about bi Ax.i. the equal angles proportionals*. Therefore...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...are equiangular, and have their fides / \ / C about the equal angles proportionals * : Therelore the figures A, B are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals. Wherefore the rectilineal figures...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 462 pages
...are equiangular, and have their /\ / C fides about the equal angles proportionals a: therefore the figures A, B are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals. Wherefore the reftilineal figures...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...C, they are equiangular, and have their fides about the equal angles proportionals a : Therefore the figures A, B are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals. Wherefore the rectilineal figures...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 528 pages
...C, they are equiangular, and have their fides about the equal angles proportionals ». therefore the figures A, B are each of them equiangular to C, and have the fides about the equal angles of each of them and of C proportionals. Wherefore the rectilineal figures...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 548 pages
...and have their sides about the equal angles proportion- / l \ / B als » : therefore the £• -^ / figures A, B are each of them equiangular to C, and...proportionals. Wherefore the rectilineal figures A and B are equiangularb, and have then-hides b 1.^Ax. about the equal angles proportionals c. Therefore A is similar...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...to C, they are equiangular, and have their sides about the equal angles proportional1. Therefore the figures A, B are each of them equiangular to C, and...about the equal angles of each of them, and of C, proportional. Wherefore the rectilineal figures A and B are equiangular*, and have their sides about...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...C, they are equiangular, and have their sides about the equal angles proportionals»: therefore the figures A, B are each of them equiangular to C, and...equiangular b, and have their sides about the equal b 1. Ax. angles proportionals e. Therefore A is similar2 to BQED 1c 11. 5. PROP. XXII. THEOR. IF four...
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