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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. "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 97
by Robert Simson - 1827 - 513 pages
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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 - Conic sections - 1849 - 252 pages
...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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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...consequently, the equiangular triangles BAC, CED, are two similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equiangular (B. L, P....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...than the angle 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...Ь d, and that 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 side bd, 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 - Mathematics - 1853 - 400 pages
...right angle BED is equal to the right angle BFD ; the two triangles EUCLID 8 ELEMENTS. EBD, FBD have two angles of the one equal to two angles of the other ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...difference between 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, Volume 4; Volume 7

Popular educator - 1852 - 1272 pages
...&c. QED Scholium. The enunciation of this proposition may be thuğ 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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