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Bøker Bok 110 av 22If two triangles have two angles of the one equal respectively to two angles of the...
" If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal. "
The Geometrical Companion: In which the Elements of Abstract Geometry are ... - Side 66
av George Darley - 1828 - 169 sider
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Del 3

Euclides - 1821
...right angles, (by the 13th.) .-. &c. •jy two triangles have two angles of the one respectively equal to two angles of the other, and a side of the one equal to a side of the other, whether it be adjacent or opposite to these equal angles, the remaining...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 sider
...that triangle which has the greater base is greater than the vertical angle of the other triangle, 32. ART. 46. If two triangles have two angles of the one...one triangle equal to a corresponding side of the other—these triangles arc in every respect equal to each other, ibid. opposite the right angle is...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...equal, the triangle is isosceles. 2. If two triangles have two angles of the one respectively equal to two angles of the other, and a side of the one equal to a side of the other, either the sides adjacent to or opposite to those equal angles; the remaining...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...transposition. It might then be demonstrated as follows : If two triangles have two angles of the one equal to two angles of the other, and a side of the one equal to a corresponding side of the other; the triangles are equal in every respect. Given two triangles...
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Elementary Geometry, Volum 2

James Maurice Wilson - 1868
...have to one another the ratio of the sides of the triangle t .... 60 FIVE COROLLARIES 61 THEOREM 6. If two triangles have two angles of the one equal respectively to two angles of the other, the triangles shall be similar, the sides which are opposite the equal angles being homologous ............
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 sider
...Fig. 28, therefore they are equal to each other. Fig. 27. Fig. 28. Because the triangles EAD and EBC have two angles of the one equal respectively to two angles of the other, therefore they are similar ; therefore _ - is equal to == ; xL,U Jiii therefore, the rectangle of AE...
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Elements of Geometry

Simon Newcomb - 1881 - 399 sider
...triangle are given, the third angle may be found by subtracting their sum from 180°. . 75. Corollary 2. If two triangles have two angles of the one equal respectively to two angles of the other, the third angles will also be equal. EXERCISES. 1. If a triangle has two angles each equal to 60°,...
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Examinations Papers

1894
...distances of the third angular point from the same two points. 2. If two triangles have two angles of one equal respectively to two angles of the other, and a side of one equal to a side similarly placed with respect to the equal angles of the other, the triangles are...
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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - 1896 - 199 sider
...the triangle which has the greater included angle has the greater base. 28. If two convex spherical triangles have two angles of the one equal respectively to two angles of the other, but the sides between these pairs of angles greater in one triangle than in the other, the triangle...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 440 sider
...is said to be the complement of another when the sum of the two is a right angle. 104. COROLLARY IV. If two triangles have two angles of the one equal respectively to two angles of the other, their third angles are also equal; or, if the sum of two angles in the one is equal to the sum of two...
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