| George Roberts Perkins - Geometry - 1856 - 460 pages
...sides of the one respectively equal to two 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** will be greater than the third side of the second. FIRST BOOK. In the two triangles ABC and DEF, suppose... | |
| William Guy Peck - Conic sections - 1876 - 376 pages
...each to 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 to 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... | |
| Robert Fowler Leighton - 1877 - 372 pages
...two sides of the one respectively equal to two sides of the other and the included angle of the first **greater than the included angle of the second, 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.... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...sides of the one equal to two sides of the other, each to each, but the included angle of the first **greater than the included angle of the second, the third side of the first** will be greater than the third side of the second. QUERIES. 1. What is the general statement of the... | |
| Public schools - 1884 - 634 pages
...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.** 8. Prove that if the middle points of the three sides of a triangle be joined, the triangle formed... | |
| 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... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...other, but the included angle of the first triangle greater than the included angle of the second, then **the third side of the first is greater than the third side of the second.** 153. If two sides of a triangle are equal respectively to two sides of another, but the third side... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...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.]** . CONSTRUCTION. To form a triangle when two sides, m and n, and an angle opposite one of them, a, are... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...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.** GIVEN— two triangles ABC and A'B'C having AB=A'B' and AC— AC, but angle ^4>angle A. To PROVE nC>B'C.... | |
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