 | 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... | |
 | 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 - Geometry - 1877 - 416 pages
...or, A С > A E. TRIANGLES. PROPOSITION XXXII. THEOREM. 116. CONVERSELY: If two sides of a triangle be equal respectively to two sides of another, but the third side of the first triangle be greater titan tlie third side of the second, then the angle opposite the third side of... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...Hyp. Idon. Cons. § 106 PROPOSITION XXXII. THEOREM. ^ 116. CONVERSELY: If two sides of a triangle be equal respectively to two sides of another, but the third side of the flrst triangle be greater than the third side of the second, then the angle opposite the third side... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...С > A E. QED THIANGLES. PROPOSITION XXXII. THEOREM. 116. CONVERSELY: If two sides of a triangle be equal respectively to two sides of another, but the third side of fhe first triangle be greater than the third side of the second, then the angle opposite the third... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...FOAE; or, A. C> AX. Q, ED PROPOSITION XXXII. THEOREM. 116. CONVERSELY: If 'two sides of a triangle be equal respectively to two sides of another, but the third side of t/nfirst triangle be greater than the third side of the second, then the angle opposite the third side... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...FOAE; or, AC > A E. QED PROPOSITION XXXII. THEOREM. 116. CONVERSELY : .If two sides of a triangle be equal respectively to two sides of another, but the third side of the first triangle be greater than the third side of the second, then the angle opposite the third side 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... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...two sides of another A, but the included Z of the first is greater than the included Z of the second, the third side of the first is greater than the third side of the second). But both these conclusions are contrary to the hypothesis. .-. ZA does not equal ZD, and is not less... | |
| |
Conversely, when two sides of a triangle are equal respectively to two sides of another, but the third side of the first is greater than the third side of the second... 
