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" If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 17
by Euclides, James Hamblin Smith - 1872 - 349 pages
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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
...Wherefore, if two triangles, &c. Q., ED a 4. i. b 34. i. PROP. XXVI. THEO R. IF two triangles have two angles of the one equal to two angles of the other, each to each ; and one fide equal to one fide, viz. either the fides adjacent to the equal angles, or the fides oppofite...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 pages
...nwji be equal to the remaining angle of the other. THEOREM 15. If two triangles have two angles of one equal to two angles of the other, each to each, and one s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. —...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...triangles, &c. Cv.ED 84. i. b 34. i. PROP. BooK I. 54.i, PROP. XXVI. THEOR. TF two triangles have two angles of the one equal to -*- two angles of the other, each to each ; and one fide equal to one fide, viz. either the fides adjacent to the equal angles, or the fides oppofite...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...FCK is equal to the right angle FCL. therefore in the two triangles FKC, FLC, there are two angles of one equal to two angles of the other, each to each, and the fide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other fides...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...angle AEG is equal to the angle BEH » ; therefort the triangles AEG, BEH have two angles of one c(jual to two angles of the other, each to each, and the sides AK. EB, adjacent to the equal angles, equal to one another ; whtrec 2&. 1. fore they shall have their...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...and -the angle AEG is equal to the angle BEH « ; therefore the triangles AEG, BEH have two angks of one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another; wherec 36. 1. fore they shall have their...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...D,) and the angles AlJD, CAD equal ', and also the side AD common; these triangles therefore have two angles of the one equal to two angles of the other, each to each, but the common side AD not lying either between given, or opposite equal angles, the triangles are...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...then, (IX.) . sin S s\n A sin «S'sin A .s\nS"s\nA" (235.) COR. 2. If two spherical triangles have two angles of the one equal to two angles of the other, each to each, or an angle of the one being equal to an angle of the other, if two other angles, one in each triangle,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...EDF. Wherefore, if two triangles, &c. QED , PROP. XXVI. THEOR. IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...than the angle EDF. Wherefore, if tw» triangles, &c. QED PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite...
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