 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...line at its middle point. PROPOSITION XVI. — THEOREM. 78. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle of the one greater than the included angle of the other, the third side of that which has the... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...lino at its middle point. PROPOSITION XVI. — THEOEEM. 78. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle of the one greater than the included angle of the other, the third side of that which has the... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...have, BD + DC< BA + AC. GEOMETRY. PBOPOSiriON IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and...included angle. In the triangles BAC and DEF, let AH be equal to DE, AC to DF, and the angle A greater than the angle D: then will BC be greater than... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...line at its middle point. PROPOSITION XVI. — THEOREM. 78. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle of the one greater than the included angle of the other, the third side of that which has the... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...triangles have the three side* of the one, etc. .THEOREM XXII. If tioo triangles have two sides of the one equal to two sides of the other, each to each, and...unequal, the third sides will be unequal, and the greater third side will belong to the triangle which has the greater included angle. In the two A's, ABC and... | |
 | Euclides - 1865 - 402 pages
....1,1. 2. Two triangles are equal, or of the same identity of form, when — a. Two sides of the one are equal to two sides of the other, each to each, and the angles contained by these sides are equal to each other . . . . . I. 4. 5. Two sides and a base of... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...BD+DC<BA+AC. THEOREM XH. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the third sides will be unequal, and the greater will be in that triangle which has tlie greater included angle. Let ABC, DEF be two triangles in which... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Construct a rhombus equal to a given parallelogram. 100. If two triangles have two sides of the one equal to two sides of the other, each to each, and the sum of the two angles contained by these sides equal to two right angles, the triangles are equal in... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...Construct a rhombus equal to a given parallelogram. 100. If two triangles have two sides of the one equal to two sides of the other, each to each, and the sum of the two angles contained by these sides equal to two right angles, the triangles are equal in... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...its middle point. V PROPOSITION XVI. — THEOREM. • 78. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle of the one greater than the included angle of the other, the third side of that which has the... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the triangle which has the greater included angle. 
