... 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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