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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. "
Solid Geometry, with Problems and Applications - Page 7
by Herbert Ellsworth Slaught, Nels Johann Lennes - 1919 - 211 pages
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...PROPOSITION XXVII. THEOREM. 110. Two right triangles are equal when the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. In the right triangles ABС and A' B' С', let AC ' = A' C", and Z. A = Z A'. We are to prove Д AB...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...PROPOSITION XXVII. THEOREM. 110. Two right triangles are equal when the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. In the right triangles ABC and A' B' C', let A С = A' C', and ZA = Z A'. We are to prove Д AB С...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...equal. an.D. 148. COR. 1. Two rijkt 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 XXVI. THEOREM. 150. Two triangles are equal if two sides and the included angle of the...
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Proceedings of the Board of Public Instruction of the City of Albany, Volume 12

Education - 1889 - 716 pages
...angle ? 20-22. Prove that two right angles are equal when the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other -i. How does a rhomboid differ from a rectangle '! -4. HI>«- does a trapezoid differ from a trapezium...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...QED 106. COR. 1. Two right-angled triangles are equal when the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. 107. COR. 2. Two right-angled triangles are equal when a side and an acute angle of the one are equal...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1890 - 296 pages
...the point common to the two lines, namely, F. .'.the two A coincide, and are equal. QED 148. COR. 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. PROPOSITION XXVI....
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...C'BB', (44) (being complements of equal /§,) ... BC' or BC = B'C', (65) PROPOSITION XII. THEOREM. 73. Two right triangles are equal if the hypotenuse and an acute angle of the one are respectively/ equal to the hypotenuse and an acute angle of the other. Given: In right...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...the side opposite the right angle. The other sides are called the perpendicular sides. 85. COR. II. Two right triangles are equal, if the hypotenuse and an acute angle of one are respectively equal to the hypotenuse and an acute angle of the other. 8 (t. COR. III. Two right triangles...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...a side and two angles of each equal but without having the angles similarly situated. 85. COR. II. Two right triangles are equal, if the hypotenuse and an acute angle of one are respectively equal to the hypotenuse and an acute angle of the other. 86. COR. III. Two right triangles...
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Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...opposite the right angle. The other sides are called the perpendicular sides. 85. COR. II. Two rig/1t triangles are equal, if the hypotenuse and an acute angle of one are respectively equal to the hypotenuse and an acute angle of the other. 86. COR. III. Two right triangles...
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