 | George Roberts Perkins - 1856 - 460 σελίδες
...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 - 1876 - 376 σελίδες
...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 - 1876 - 412 σελίδες
...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 σελίδες
...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 - 1883 - 326 σελίδες
...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... | |
 | 1884 - 634 σελίδες
...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 - 1888 - 518 σελίδες
...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 - 1896 - 68 σελίδες
...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 - 1896 - 276 σελίδες
...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 - 1896 - 554 σελίδες
...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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... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 
