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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. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 20
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...Def. 7)i and therefore the angles AFG, AEG, are also equal. The triangles AGE, AGF, have therefore two angles of the one equal to two angles of the other, and they have also the side AG common ; wherefore they are equal, and the side AF is equal to the side...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...ij greater than the angle EDF. Wherefore, if two triangles, &c. Q. t, n. PROP. XXVI. THEOR. °V'.' 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, vis. 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 - Geometry - 1838 - 434 pages
...bisected by BD, 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 Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...the angle BCD, by the aforesaid proposition. And because the two triangles ADF and BCF have, thus, two angles of the one equal to two angles of the other, viz., the angle FAD to the angle FB C, and the angle AD F to the angle BCF; and the side AF of the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...the angle BAC is greater than the angle EDF. Wherefore, if two triangles, &c. UED 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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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...proposition gives still further information on this useful subject. It shows that if two triangle* have two angles of the one equal to two angles of the other, each to each, and one side equal to one aide, namely, either the sides adjacent to the equal angles, or the sides opposite...
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The Penny Cyclopędia of the Society for the Diffusion of Useful ..., Volume 22

Encyclopedias and dictionaries - 1842 - 526 pages
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding sides...
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The Penny Cyclopędia of the Society for the Diffusion of Useful ..., Volume 22

Encyclopedias and dictionaries - 1842 - 538 pages
...course) alone are • enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to • the corresponding...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 22

1842 - 524 pages
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding sides...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...bisected by BD, 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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