| Levi Leonard Conant - Plane trigonometry - 1909 - 290 pages
...to 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 U, С', coincide, BC=B'C', and 0С= O' C' . For convenience, let OB = r, OB' = r',... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...THEOREM. 121. Two right triangles are congruent if they have the hypotenuse and an acute angle of the one equal, respectively, to the hypotenuse and an acute angle of the other. ABDEE n Given the rt. As ABC and DEF, in which hypotenuse AC = hypotenuse DF and £ A = £ D. To prove... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...angles. What axiom is involved? 7. If in two right triangles the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other, the triangles are congruent. Prove in full. 8. Can a triangle have two right angles? Two obtuse angles?... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...arc equal. 209. Cor. V. 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. 210. Cor. VI. Two right triangles are equal if a side, and an acute angle of one are equal respectively... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...line. 121. Two right triangles are congruent if they have the hypotenuse and an acute angle of the one equal, respectively, to the hypotenuse and an acute angle of the other. 122. Two right triangles are congruent if the hypotenuse and a leg of the one are equal, respectively,... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...one obtuse angle. 209. 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. 211. Two right triangles are equal if the hypotenuse and a side of one are equal respectively to the... | |
| Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...Theorem XIV. Two right triangles are congruent if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. Given the rt. A ABC and A'B'C' with the hypotenuse BC ' hypotenuse B'C' and ZB = Z B'. To prove A ABC... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...Theorem XIV. Two right triangles are congruent if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. c' A -^ A B Fio. 46 Given the rt. A ABC and A'B'C' with the hypotenuse BC = hypotenuse B'C' and Z B... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 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. PROPOSITION XXIII. THEORKM... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...Theorem XIV. Two right triangles are congruent if the hypotenuse and an acute angle of the one are equal, respectively, to the hypotenuse and an acute angle of the other. 70. Theorem XV- Two right triangles are congruent if the hypotenuse and a side of the one are equal,... | |
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