 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle is supplemental to the other. Hence the following property : — If two triangles have two si-les of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
 | Euclides - 1861 - 464 pages
...vertical angle, ACB. РДRЬППЯАRY THEOREM, that may be demonstrated by superposition, " If two Дз have two sides of the one respectively equal to two sides of the other, and the ¿. opp. one of the sides in the firstequal to the /.opp. to the equal side in the second, these Дs... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...THEOREM. 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...the triangle which has the greater 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... | |
 | Euclides - 1864 - 448 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : — If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
 | Euclides - 1864 - 262 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : — If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...a radius, describe a circumference in the plane MN, cutting CD at D. Then the triangles ACD and ACB have two sides of the one respectively equal to two sides of the other. But the third side AD is longer than the third side AB (530). Therefore, the angle ACD is greater than... | |
 | Robert Potts - 1865 - 528 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : —If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
 | Euclides - 1865 - 402 pages
...I. 41. * ' The 4th, 8th, 24th, and,<25th propositions may be announced together thus : — ' if two triangles have two sides of the one respectively equal to two sides of the other, the remaining side of the one will be greater or less than, or equal to, the remaining side of the... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
....THEOREM XXII. If tioo 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 third side will belong to the triangle which has the greater included angle. In the two A's, ABC and... | |
 | 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... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 
