| Education - 1917 - 786 pages
...equal: 1. If their legs are equal, each to each 2. If the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other 3. If a leg and an acute angle of the one are equal respectively to a leg and the homologous acute... | |
| Raymond Benedict McClenon - Functions - 1918 - 264 pages
...draw A'B' perpendicular to OX. Then the triangles OAB and OA'B' are equal (being right triangles with the hypotenuse and an acute angle of one equal respectively...to the hypotenuse and an acute angle of the other), so that B'A' = BA, that is, y' = y. Further, BO — OB' ; and, since x = OB (not B 0), therefore x... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...triangles. Ex. 271. 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. 272. The altitudes upon the arms of an isosceles triangle are equal. Ex. 273. The lines drawn from... | |
| High schools - 1918 - 378 pages
...equal: 1. If their legs are equal, each to each 2. If the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other 3. If a leg and an acute angle of the one are equal respectively to a leg and the homologous acute... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...TRIANGLES 165. THEOREM XXII. Two right triangles are equal if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other. T, „, A c A c' Given the right A ABC and A'B'C in which AB=A'B' and To prove that A ABC = A A'B'C'.... | |
| Herbert Ellsworth Slaught - 1918 - 344 pages
...TRIANGLES 165. THEOREM XXII. Two right triangles are equal if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other. no, AC A.. C' Given the right A ABC and A'B'C' in which AB=A'B' and To prove that A ABC = A A'B'C'.... | |
| George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...congruent. § 74 (Two right triangles are congruent if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other.) Therefore a = a'. § 54 (For they are corresponding parts of congruent triangles.) 85. Application.... | |
| William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1919 - 334 pages
...third angles are also equal. 3. If two right triangles have the hypotenuse and an acute angle of the one equal respectively to the hypotenuse and an acute...angle of the other, the two triangles are congruent. (Apply Ex. 2.) 4. In a certain right triangle one acute angle is twice as large as the other. How many... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...angle of the other. 42. Two right triangles are equal if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other. 43. A quadrilateral is a parallelogram (1) if both pairs of opposite sides are equal ; or (2) if two... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 232 pages
...angle of the other. 42. Two right triangles are equal if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other. 43. A quadrilateral is a parallelogram i (1) if both pairs of opposite sides are equal; or (2) if two... | |
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