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" AB is (7. 5.) to AD, as AE to AG ; and DC to CB, as GF to FE; and also CD to DA, as FG to GA ; therefore the sides of the parallelograms ABCD, AEFG about the equal angles are proportionals; and they are therefore similar to one another (1. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 136
by John Playfair - 1844 - 317 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...«. are therefore fimilar to one another c. for the fame reafon, the parallelogram ABCD is fimilar to the parallelogram FHCK. Wherefore each of the parallelograms GE, KH is fimilar to DB. but rectilineal figures which are fimilar to the fame rectilineal figure, are alfo f....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...therefore fimilnr to e i. def. 6. one another e : For the fame reafon, the parallelogram ABCD is fimilar to the parallelogram FHCK. Wherefore each of the parallelograms GE, KH is fimilar to DB : But rectilineal figures which are fimilar to the fame rectilineal figure, are alfo...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...therefore fimilar e i. def 6. to one another i= : for the fame reafon, the parallelogram ABCD is fimilar to the parallelogram FHCK. Wherefore each of the parallelograms, GE, KH is fimilar to DB : but rectilineal figures which are' fimilar to the fame reftilineal figur. ^-^J__,._.....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...they are therefore fimilar to one another e : For the fame reafon, the parallelogram ABCD is fimilar to the parallelogram FHCK. Wherefore each of the parallelograms GE, KH is fimilar to DB : But rectilineal figures which are fimilar to the fame A B BOOK VI. fame reftilineal...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...they are therefore fimilar to one another e. for th< fame reafon, the parallelogram ABCD is fimilar to the parallelogram FHCK. Wherefore each of the parallelograms GE, KH is fimilar to DB. but rectilineal figures which are fimilar to the fame reftilineal figure, are alfo fimilar...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...about the equal angles are proportionals ; and they are therefore similar to e1.def.6. one another*: for the same reason, the parallelogram ABCD is similar...similar to the same rectilineal figure, are also similar £21.6. to one another f; therefore the parallelogram GE is similar ta KH. Wherefore, the parallelograms,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...rectilineal figures are to each other as the squares of their homologous sides. PROP. XXI. THEOR. Book VI. RECTILINEAL figures, which are similar to the same...rectilineal figure, are also similar to one another. Let each of the rectilineal figures A, B be similar to the rectilineal figure C j the figure A is similar...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...equal angles are proportion- DKC el.def.6. als' anc^ tnev are therefore similar to one another« : for the same reason, the parallelogram ABCD is similar...rectilineal figures which are similar to the same rec1 21.6. tilineal figure, are also similar to one another*'; therefore the parallelogram GE is similar...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...parallelograms ABCD, ^ = ,, are proportionals; and they are therefore similar to one e i Def. 6. another 6 : For the same reason the parallelogram ABCD is similar...figures which are similar to the same rectilineal t si.'6. figure are also similar to one another*; therefore the parallelogram GE is similar to KH....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...equal angles '-* are proportion, ils ; and they are therefore similar to one • 1 Def. 6. another6 : For the same reason the parallelogram ABCD is similar to the parallelogram FUCK. Wherefore each of the parallelograms GE, KH is similar to DB . But rectilineal figures which...
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