| Adrien Marie Legendre - Geometry - 1822 - 367 pages
...unequally distant from the extremities A andB. PROPOSITION XVIII. THEOREM. Two right-angled triangles **are equal, when the hypotenuse and a side of the one are** respectively equal to the hypotenuse and a side of the other. Suppose the hypotenuse AC=DF, and the... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...therefore follows that these triangles are identical (T. XX.). \ \ THEOREM XXvI. Two right-angled triangles **are equal, when the hypotenuse and a side of the one^ are** respectively equal to the hypotenuse and a side of the other. Suppose EC = EF and AJB = DE, then will... | |
| George Roberts Perkins - Geometry - 1860 - 468 pages
...it therefore follows that these triangles are identical (T. XX.). xxvi. Two right-angled triangles **are equal, when the hypotenuse and a side of the one, are** respectively equal to the hypotenuse and a side of the other. Suppose BC = EF and AB = DE, then will... | |
| George Albert Wentworth - 1881 - 266 pages
...a rectangle). and AE=DF, §134 (being opposite sides of а СИ) ; .-.AABE = ACDF, §109 (two rt. A **are equal, when the hypotenuse and a side of the one...equal respectively to the hypotenuse and a side of the** other)Take away the Л С DF and we have left the rect. A BCD. Take away the Л ABE and we have left... | |
| George Albert Wentworth - Geometry, Plane - 1882 - 268 pages
...opposite sides of a rectangle). and AE = DF, §134 (being opposite sides of ad) ; , §109 (two rt. A **are equal, when the hypotenuse and a side of the one...are equal respectively to the hypotenuse and a side** oftlic other). Take away the Д CDF and we have left the rect. ABC D. Take away the Д ABE and we have... | |
| George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...§134 (beiny opposite side-i of a O ) ; , §109 (two rt. A are equal, when the hypotenuie and a sidy **of the one are equal respectively to the hypotenuse and a side of the other). Take away the** ACDF and we have left the rect. ABC D. Take away the AABE and we have left the OA EF D. .-. rect. ABCD... | |
| George Albert Wentworth - Geometry - 1888 - 264 pages
...and AE = DF, ' § 179 (being opposite sides of a CD). (two rt. i& are equal when the hypotenuse ami **a side of the one are equal respectively to the hypotenuse and a side of the** othef). Take away the A DCF, and we have left the rect. ABCD. Take away the A ABE, and we have left... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...are homologous; likewise the angles B and E. Proposition 24. Theorem. 110. Two right-angled triangles **are equal when the hypotenuse and a side of the one...respectively to the hypotenuse and a side of the other.** Hyp. Let ABC, DEF be two rt. A s having hyp. AC = DF, and BC = EF. To prove A ABC = A DEF. Proof. Apply... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...are homologous; likewise the angles B and E. Proposition 24. Theorem. 110. Two right-angled triangles **are equal when the hypotenuse and a side of the one are** eqiial respectively to the hypotenuse and a side of (he other. ~ B v E Hyp. Let ABC, DEF be two rt.... | |
| George Albert Wentworth - Geometry - 1894 - 456 pages
...= CD and AE= DF, § 179 (being opposite sides of a O). .-.A ABE =A DCF, §161 (two rt. & are e*[ual **when the hypotenuse and a side of the one are equal...hypotenuse and a side of the other). Take away the** A DCF, and we have left the rect. ABCD. Take away the A ABE, and we have left the D AEFD. .-. rect.... | |
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