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.... Essentials of Solid Geometry - Page 10by David Eugene Smith - 1924 - 238 pagesFull 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 - 416 pages
...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
...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 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
...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 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
...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...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
...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 will be greater than the third side of the second. HYPOTHESIS. AB = DE, and AC = EF, but £ BAG > £... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...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 will be greater than the third side of the second. HYPOTHESIS. ABC and DEF are two triangles, in which... | |
| Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...sides of the other, and the included angles of the first greater than that of the second, prove that the third side of the first is greater than the third side of the second. Also prove the converse of this theorem. 3. Similar triangles (and similar polygons) are to each other... | |
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