 From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...  Plane and Solid Geometry - Σελίδα 62των William James Milne - 1899 - 384 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Adrien Marie Legendre - 1819 - 574 σελίδες
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. . 230. Demonstration. Let the side AB = EF (Jig. 23O), the side AC = EG, and the angle BAC = FEG, the... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 σελίδες
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Fig. 230. Demonstration. Let the side AB = EF (Jig. 230), the side AC=EG, and the angle BAC-FEG, the... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 σελίδες
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Fig. 230. Demonstration. Let the side AB = EF (fig. 230), the side AC = EG, and the angle BAC = PEG,... | |
 | Pierce Morton - 1830 - 584 σελίδες
...less than two right angles cor. 5 (A) Triangles which have two sides and the included angle of the one equal to two sides, and the included angle of the other, each to each, are equal in all respects . . .5 (c) Triangles which have two angles and the interjacent side of the... | |
 | 1835 - 684 σελίδες
...than two right angles cor. 5 (б) Triangles which have two sides and the included angle of the one equal to two sides, and the included angle of the other, each to each, are equal in all respects . . .5 (r) Triangles which have two angles and the interjacent side of the... | |
 | Massachusetts - 1897 - 1382 σελίδες
...GEOMETRY. Prove the following propositions : — 1. Two triangles are equal when two sides and the indndfd angle of one are equal to two sides and the included angle of the other. 2. If two parallels are cut by a secant line, the alternate interior angles are equal.... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Suppose the side AB=EF, the side J\- . JJ AC =EG, and the angle BAC=FEG ; then will the two triangles... | |
 | Adrien Marie Legendre - 1838 - 372 σελίδες
...ECF, FCA. B PROPOSITION V. THEOREM. If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to eac/i, the two triangles will be equal. Let the side ED be equal to the side BA, the side DF to the... | |
 | Charles Davies - 1840 - 264 σελίδες
...VI. PROPERTIES OF THE TRIANGLE. 1. If two triangles have two sides, and an included angle of the one, equal to two sides and the included angle of the other, each to each, the remaining parts will also be equal. That is, if we have the two triangles, .ABC and DEF, having... | |
 | Adrien Marie Legendre - 1841 - 288 σελίδες
...sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. Let the side AB—EF (fig. 230), the side AC = EG, and the angle BAC = PEG, the triangle... | |
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