 | Benjamin Greenleaf - Geometry - 1863 - 502 pages
...equilateral. PROPOSITION XIV. — THEOREM. 549. If two triangles on the same sphere, or on equal spheres, have two sides and the included angle in the one equal to two sides and the included angle in the other, eacji to each, the two triangles are equal in all their parts. In the two triangles A ABC, DBF, let... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...should have unequal right angles, which is impossible. THEOREM XVI. Two triangles ii'hich have tivo sides and the included angle in the one, equal to...and the included angle in the other, each to each, are equal in all respects. In the two A's, ^l.BC'and DEF, on the supposition that AB = DE, AC = DF,... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...another. 11. Angles that have equal measures, or arcs, are equal. THEOREM I. If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other, tlie triangles will be identical, or equal in all respects. In the two triangles ABC, DEF, if the side... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...point, are together equal to four right angles. PROPOSITION V. — THEOREM. 52. If two triangles have two sides and the included angle in the one equal...and the included angle in the other, each to each, the two triangles will be equal. In the two triangles ABC, DEF, let the side AB be equal to the side... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...should have unequal righ angles, which is impossible. •x/ x THEOREM XVI. Two triangles which have two sides and the included angle in the one, equal...and the included angle in the other, each to each, are equal in all respects. In the two A's, ASCandDJEF, on the supposition that AB — DE, AC=DF, and... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...point, are together equal to four right angles. PROPOSITION V. — THEOREM. 52. If two triangles have two sides and the included angle in the one equal to two sides anil the included angle in the other, each to each, the two triangles will be equal. In the two triangles... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...meeting at that point, are together equal to four right angles. THEOREM iy. 42. If two triangles have two sides and the included angle in the one equal...and the included angle in the other, each to each, the two triangles will be equal. ELEMENTARY GEOMETRY. equal to the side DE, the side AC to the side... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...meeting at that point, are together equal to four right angles. THEOREM IV. 42. If two triangles have two sides and the included angle in the one equal...and the included angle in the other, each to each, the two triangles will be equal. equal to the side DE, the side AC to the side DF, and the angle A... | |
 | Edmund R. Clay - Ethics - 1882 - 474 pages
...belief misled Euclid into a counterfeit of demonstration as regards the thesis, Two triangles that have two sides and the included angle in the one equal to two sides and the included angle in the other are equal The thesis, although not obvious without scrutiny, convinces scrutiny of its truth without... | |
 | Edmund R. Clay - Ethics - 1882 - 470 pages
...belief misled Euclid into a counterfeit of demonstration as regards the thesis, Two triangles that have two sides and the included angle in the one equal to two sides and the included angle in the other are equal. The thesis, although not obvious without scrutiny, convinces scrutiny of its truth without... | |
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If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other, each to each, the two triangles will be equal. 
