 ... if two triangles have two sides of one equal, respectively, to two sides of the other...  Plane Geometry - Page 131by John Charles Stone, James Franklin Millis - 1916 - 278 pagesFull view - About this book
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...two sides and the included angle respectively equal are equal.] UA<A' then would .#£.<£' <7. §92 [If two triangles have two sides of 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...A. To PROVE angle SAC<_ angle SAB. Take AB = AC and draw SC and SB. Then the triangles SAC and SAB have two sides of one equal respectively to two sides of the other. But the third side SC of one is less than the third side SB of the other. § 5 36 Therefore angle SA C< angle SAB. §... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...BC'<BX+XC. Or BC'<BC. QED PROPOSITION XXVI. THEOREM 93. If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than thc third side of the second, then the angle opposite the third side of the first is greater than the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...through A, To PROVE angle SAC<^ angle SAB. Take AB^ACznd draw SC and SB. Then the triangles SAC and SAB have two sides of one equal respectively to two sides of the other. But the third side SC of one is less than the third side 5.5 of the other. § 536 Therefore angle S^C<angle SAB. §93... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...3, page 23, using §§ 73 und 77a. 2. Restate 8 76a. PROPOSITION XIII. THEOREM. 78. If two trianyles have two sides of one equal respectively to two sides of the oiJier, but the included angle of the first greater than the included angle of the second, then the... | |
 | Mathematics - 1898 - 228 pages
...radius of a circle is 10 iuches; find the area of a segment whose arc is 60°. SEPTEMBER 1901. PLANE. 1. If two triangles have two sides of 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... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...are cut by a third so as to make the alternate interior angles equal, the two lines are parallel. 2. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle ot the first greater than the included angle of the second, the third side of the first... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...from the point to the line.] (§50) Therefore, point A falls on point D. PROP. XXVIII. THEOREM. 91. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first... | |
 | Henry W. Keigwin - Geometry - 1898 - 250 pages
...I. Restate ex. 3, page 23, using §§ 73 and 77a. 2. Restate § 76a. PROPOSITION XIII. THEOEEM. 78. If two triangles have two sides of one equal respectively to two sides of the other, hut the included angle of the first greater than the included angle of the second, then the a Y> Fio.... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...hypotenuse and compare its area with the rectangle whose sides are the two legs of the right A242. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, how are the areas related ? 243. The side of an equilateral... | |
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