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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. either the sides adjacent to the equal... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Strona 91
autor: John Playfair - 1855 - Liczba stron: 318
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - Liczba stron: 128
...converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — 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 first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - Liczba stron: 120
...greater than the angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. 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 and Conic Sections

Elias Loomis - 1849 - Liczba stron: 252
...angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one euual to two angles of the other, each to each, and the side Ell included between the equal angles, common; hence the triangles are equal (Prop. VII.); and the...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - Liczba stron: 152
...cardboard, so as to exemplify the two last propositions.] 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - Liczba stron: 178
...equal to kcf, and the right angle fhc equal to the right angle fkc ', in the triangles f b. c, fkc there are two angles of one equal to two angles of the other, and the side fc, which is opposite to one of the equal angles in each, is common to both; therefore...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - Liczba stron: 400
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC, in the triangles FHC, FKC there are two angles of one equal to two angles of the other ; and the side FC, which is opposite to one of the equal angles in each, is common to both ; therefore...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - Liczba stron: 146
...EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOREM. If two trianglet 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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Elements of geometry and mensuration

Thomas Lund - 1854 - Liczba stron: 522
...any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the side which is common to those angles in the one equal to the side which is common to the...
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The popular educator, Tom 4;Tom 7

Popular educator - 1852 - Liczba stron: 1272
...The enunciation of this proposition may be thu» simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - Liczba stron: 230
...the angle AEG is equal to the angle BEH (a); therefore the triangles AEG, BEH have two angles of the 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; wherefore they have their other sides...
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