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" If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Strona 30
autor: Alexander Ingram - 1799 - Liczba stron: 351
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - Liczba stron: 476
...Sides, the one greater than the other ; which was to be ckmonilrated. PROPROPOSITION XXVI. THEOREM. ff two Triangles have two Angles of the one equal to two Angles of the other, each to each, and one Side of the one equal to one Side of the other, either the Side lying between the equal Angles, or...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - Liczba stron: 462
...is equal to the right angle FCL : therefore in the two triangles FKC, FLC, there are tw6 angles of one equal to two angles of the other, each to each, and the fide FC, which is adjacent to the equal angles Bonk IV. ^ each, is common to both ; therefore the...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - Liczba stron: 120
...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. — 20...
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The Elements of Natural Or Experimental Philosophy, Tom 3

Tiberius Cavallo - 1803 - Liczba stron: 638
...die angle FGD is equal to the angle CGD; whence it follows, that the triangles DGC and DGF, Tiaving two angles of the one equal to two angles of the other, and a correfpondent fide, viz. DG, common, are equal in every refpect J ; * It is ufelefs to take notice...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - Liczba stron: 468
...by BD ; and becaufe the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD have two angles of the one equal to two angles of the other ; and the fide BD, Which is oppofite to one of the equal angles in each, is common to both; therefore...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - Liczba stron: 530
...bifefted by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FED have two angles of the one equal to two angles of the other, and the fide BD,' which is oppofite to cme of the TJ -Tf |N| eq*MfiB(fcgles in each, is common*"^ *...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - Liczba stron: 320
...angle BAC is greater-fhan the angle EDF. Wherefore, if two triangles, &c. Q, ED 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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - Liczba stron: 546
...angle 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 to...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Tom 2

Charles Butler - 1814 - Liczba stron: 528
...(viz. at D,) and the angles ABD, 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 - 1816 - Liczba stron: 352
...opposite to A, A', A", 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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