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" If two angles of a triangle are equal, the sides opposite to these angles are equal 21 ^THEOREM 14. "
Elementary Plane Geometry: Inductive and Deductive - Página 18
por Alfred Baker - 1903 - 144 páginas
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Elementary illustrations of the Celestial mechanics of Laplace [by T ..., Parte1

Thomas Young, Pierre Simon marquis de Laplace - 1821 - 344 páginas
...BD=CE (16), therefore L BCDz=CBE (86), and L ACD— BCD=ABE— CBE (16), or L ACB=ABC. 88. THEOREM. If two angles of a triangle are equal, the sides opposite to them are equal. Let L ABCizBCD ; then AC=AB. If it bo denied, take, in the greater AC, CD equal to...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - 1846 - 161 páginas
...erected upon the middle point of the base of an isosceles triangle, bisects the opposite angle. 134. If two angles of a triangle are equal, the sides opposite to these angles are also equal. Dem. (fig. 86.) Let angle A = B. Upon the middle point of the base AB erect a perpendicular to AB....
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 453 páginas
...\_ B. Hence the theorem ; if two sides of a triangle are equal, the angles, etc. Cor. 1. Conversely: if two angles of a triangle are equal, the sides opposite to them are equal, and the triangle it itosceles. For, if AC is not equal to BC, suppose BC to be trie...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - 1862 - 98 páginas
...still more, then, is it greater than BAG. Therefore, the greater of two unequal sides, etc. Cor. Hence, if two angles of a triangle are equal, the sides opposite to them can not be unequal. THEOREM X. If two triangles have two sides of the one equal to two sides of...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

CHARLES DAVIES, LL.D. - 1863
...of the base, bisects the vertical angle, and is perpendicular to the base. PROPOSITION XII. THEOREM. If two angles of a triangle are equal, the sides opposite , to them are also equal, and consequently, the triangle is isosceles. In the triangle ABC, let the angle...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...ACB. Cor. Hence the less angle of every triangle is opposite to the less side. PROPOSITION XIX. THEOR. If two angles of a triangle are equal, the sides opposite to them are also equal. Let ABC be a triangle having the angle B equal to the angle C, the side AB is...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - 1869 - 296 páginas
...Art. 18. 24. Jf two sides of a triangle are equal the angles opposite to them will also be equal. 25. If two angles of a triangle are equal the sides opposite to them will also be equal. 26. Iftico sides of one triangle are equal to two sides of another, each to...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1869
...[_B. Hence the theorem; if two sides of a triangle are equal, the angles, etc. Cor. 1. Conversely: if two angles of a triangle are equal, the sides opposite to them are equal, and the triangle is isosceles. For, if AC is not equal to BC, suppose BC to be the...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 páginas
...than the angle B (69) ; still more, then, is A CB greater than B. PROPOSITION XXVII.— THEOREM. 90. If two angles of a triangle are equal, the sides opposite to them are equal. In the triangle ABC, let the angles B and C be equal ; then, the sides AB and AC are...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 368 páginas
...than the angle B (69); still more, then, is A CB greater than B. PROPOSITION XXVII.— THEOREM. 90. If two angles of a triangle are equal, the sides opposite to them are equal. In the triangle ABC, let the angles B and C be equal ; then, the sides AB and AC are...
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