Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. Elements of Solid Geometry - Page viiiby William Herschel Bruce, Claude Carr Cody - 1912 - 110 pagesFull view - About this book
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...of the other. 141. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal, respectively, to the hypotenuse and an acute angle of the other. 142. Two right triangles are equal if a leg and an acute angle of the one are equal, respectively,... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...triangles. Ex. 91. Two right triangles are equal if the hypotenuse and' an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. Ex. 92. The altitudes upon the arms of an isosceles triangle are equal. PROPOSITION XIII. THEOREM 100.... | |
| Arthur Schultze - 1901 - 392 pages
...triangles. Ex. 91. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. PROPOSITION XIII. THEOREM 100. An exterior angle of a triangle is equal to the sum of the two remote... | |
| Arthur Schultze - 1901 - 260 pages
...triangles. Ex. 91. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. PROPOSITION XIII. THEOREM 100. An exterior angle of a triangle is equal to the sum of the two remote... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...triangles. Ex. 91. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. PROPOSITION XIII. THEOREM 100. An exterior angle of a triangle is equal to the sum of the two remote... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...third side. 141. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal, respectively, to the hypotenuse and an acute angle of the other. 142. Two right triangles are equal if a leg and an acute angle of the one are equal, respectively,... | |
| John Alton Avery - Geometry, Modern - 1903 - 136 pages
...have been wrong ? THEOREM XIII 42. If two right triangles have the hypotenuse and an acute angle of one equal respectively to the hypotenuse and an acute angle of the other, the triangles are equal. Hyp. In the rt. A ABC and A'B'C', let AC=A'CI, ZA = /LA', ZB and /LB' being... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...168 COROLLARY 1. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. 169 COROLLARY 2. Two right triangles are equal if a leg and an acute angle of the one are equal respectively... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...If their legs are equal, each to each. § 163 2 If the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. §168 3 If a leg and an acute angle of the one are equal respectively to a leg and the homologous acute... | |
| Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...OB'C', equal geometrically, since they are right triangles having the hypotenuse and an acute angle of one equal respectively to the hypotenuse and an acute angle of the other. Hence the points 6", 6^ / , coincide, BC= B'C', and OC= O'C'. •xx XX For convenience, let OB=r, OB'... | |
| |