 If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second....  Plane and Solid Geometry, Suggestive Method - Page xxvby George Clinton Shutts - 1913 - 476 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...impossibility of all except one. (Compare Props. V and VIII.) 44 PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side... | |
 | Arthur Schultze - 1901 - 260 pages
...impossibility of all except one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...herelore BC is greater thaii BC'. That is, .#6' is greater than B'C. PROPOSITION XXI \ 80. // £M;G» triangles have two sides of the one equal, respectively, to two sides of tlie other, and the third sides unequal, the triangle which has the greater third side has also the... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...Therefore, etc. PROPOSITION XXV. — THEOREM. // two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side will be greater in the triangle having the greater included angle. Given.— Let ABC and... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...process can be repeated until a triangle is reached. 571. EXERCISE. Two triangles are equivalent if they have two sides of the one equal respectively to two sides of the other, and the included angles supplementary. [Place the A so that the two supplementary A are adjacent and a side of one A coincides... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...GH. Prove AGBH = AHB C. Whence HG = HC. AH+HG>AG. (?) AOAG. (?) AODF. (?) QED 182. CONVERSE. If two triangles have two sides of the one equal respectively to two sides of the other, and the third sides unequal, the included angles are unequal, and the greater included angle belongs to the... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...the other two sides of the triangle. 88. Theorem XXXVI. If two triangles have two sides of one equal to two sides of the other and the included angles unequal, the remaining sides are unequal, that being greater which belongs to the triangle having the greater included angle. 89. Theorem XXXVII.... | |
 | George Bruce Halsted - Geometry - 1904 - 324 pages
...the angle between equal sides bisects at right angles the third side. 511. Theorem. If two spherical triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite one pair of equal sides equal, then the angles opposite the other pair are either equal... | |
 | George Bruce Halsted - Geometry - 1904 - 313 pages
...the angle between equal sides bisects at right angles the third side. 511. Theorem. If two spherical triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite one pair of equal sides equal, then the angles opposite the other pair are either equal... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...included by a side and the base produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the... | |
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