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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.
Calendar - Page 244
by University of Allahabad - 1919
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## Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...b + a + c = 2 R. Therefore, the sum of the angles of a triangle equals two right angles. Cor.—If two triangles have two angles of the one equal to two angles of the other, the third angles will be equal. If, now, a = d and b = e, For, (1) a + b + c = 2 R. and (2) d + e +...
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## The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...vertex might coincide with the vertex of the given angle and then the con»traction would fail. 3. If two triangles have two angles of the one equal to two »ngles of the other, each to each, and one side equal to one side, TU., either the sides adjacent...
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## The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...points C and E, such that AB is equal to AC, and AD to AE : shew that BE is equal to CD. THEOR. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides between the vertices of these angles equal, then the triangles are identically...
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## Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 pages
...shall be equal to three given straight lines, of which any two are together greater than the third. (5) If two triangles have two angles of the one equal to two angles of the other, each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles in each, or sides...
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## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...equal to one another. What other converse proposition may be obtained from Proposition V., Book I.? 3. 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, namely, the sides opposite to the equal angles in each, the triangles shall...
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## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...RQ, QP; determine which is the greater of the angles R and V. TV 65. PROPOSITION XXVI. — THEOREM. 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, namely, either the sides adjacent to the equal angles or the sides opposite...
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## The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...of it ; shew that the straight line joining their vertices bisects the vertical angles. THEOR. 19. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles are identically...
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## Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 pages
...EUCLID SHEETS— Props. 1-26, Book I, are now published in a similar form to this. PROPOSITION XXVI. 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 in each, or the sides...
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## The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...truth of the sixteenth, it would be a proof of both the sixteenth and seventeenth. It shows us that, if two triangles have two angles of the one equal to two angles of the other, each to each or together, their third angles are also equal. The corollaries to this proposition are not Euclid's....
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## The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...these two angles are equal. But the angle A is common to the two triangles BAD and BAC. Hence, these triangles have two angles of the one equal to two angles of the other, and are consequently similar (Cor., Theo. IX). Therefore, Cor.—If from a point without a circle a...
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