 | George Albert Wentworth - Geometry - 1899 - 498 pages
...132 141. COR. 2. 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. • § 133 PROPOSITION XXI. THEOREM. 143. Two triangles are equal if two sides and the included angle... | |
 | 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
...what previous statement, upon which this conclusion was based, must have been wrong ? THEOREM XIII 42. If two right triangles have the hypotenuse and an...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 rt.... | |
 | 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... | |
 | 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... | |
 | Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...XX'. Then are the triangles OBC, 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'... | |
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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. 
