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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 121
autor: John Playfair - 1806 - Liczba stron: 311
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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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The popular educator, Tom 4

Popular educator - 1852
...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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Elements of geometry and mensuration

Thomas Lund - 1854 - Liczba stron: 192
...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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - Liczba stron: 318
...angle KFC is equal to the angle CFL : now the right angle FCK is equal to the right angle FCL ; and therefore, in the two triangles FKC, FLC, there are...to two angles of the other, each to each, and the fcide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other sides...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...The enunciation of this proposition may be thus simplif'ed: If two triangles have two angles of the one, equal to two angles of the other, each to each, and a 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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...it. 4. Any two sides of a triangle are together greater than the third side. 5. 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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Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - 1856 - Liczba stron: 216
...alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, have two angles of the one equal to two angles of the other, each to each ; and the side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ; and FH is...
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - Liczba stron: 226
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - Liczba stron: 234
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the...
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