 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....  General Mathematics - Page 255by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | William Guy Peck - Conic sections - 1876 - 376 pages
...each, and if the included angle in the first triangle is greater than the included angle in the second, the third side of the first is greater than the third side of the second, and conversely. 1st. Let ACD and PQR be two triangles in which AC is equal to PQ, CD to QR and ACD... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...each, and if the included angle in the first triangle is greater than the included angle in the second, the third side of the first is greater than the third side of /he second, and conversely. 1st. Let ACD and PQR be two triangles in which AC is equal to PQ» CD to... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...triangle. 2. On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal respectively to two sides of the other,...angle of the second, then the third side of the first will be greater than the third side of the second. 3. To draw an arc perpendicular to a given spherical... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...two spherical triangles have two sides of the 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 third side of the first will be greater than the third side of the second. 3. To draw an • arc perpendicular to a given spherical... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...have two sides of the one equal respectively to two sides of the other, but the included angle of tlie first greater than the included angle of the second, then the third side of the first will be greater than the third side of the second. • In. the AAB С and ABE, let AB = AB, BC = BE;... | |
 | Robert Fowler Leighton - 1877 - 372 pages
...sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Show how to draw a tangent to a circle from a point without the circle, and prove your method correct.... | |
 | George Albert Wentworth - 1879 - 196 pages
...AC. Ex. 2. On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal respectively to two sides of the other,...angle of the second, then the third side of the first will be greater than the third side of the second. In the spherical A ABC and A'B'C, let AB = A'B',AC... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...triangle is also equilateral. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively to two sides of the other,...angle of the second, then the third side of the first will be greater than the third side of the second. BB В In the А ABC and ABE, let AB = AB, BC —... | |
 | Public schools - 1884 - 634 pages
...the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the one equal respectively to two sides of the other,...first is greater than the third side of the second. 8. Prove that if the middle points of the three sides of a triangle be joined, the triangle formed... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...sphere until it coincides with ABC. THEOREM VI. 689. If two spherical triangles have two sides of the one equal respectively to two sides of the other,...angle of the second, then the third side of the first will be greater than the third side of the second. HYPOTHESIS. AB = DE, and AC = EF, but £ BAG > £... | |
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