... the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC . the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe the square BDEC (1. Elements of Geometry and Conic Sections - Page 65by Elias Loomis - 1861 - 234 pagesFull view - About this book
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...equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side IK', is equal to the squares described upon BA, AC. • 46.1. On BC describe » the square BDEC, and... | |
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...equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe (46. 1.) the square BDEC, and on BA, AC... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right...angle BAC : the square described upon the side BC shall be equal to the squares described upon BA, AC. On BC describe* the square BDEC, and on BA, AC... | |
| John Radford Young - Euclid's Elements - 1827 - 246 pages
...demonstration, which is very elegant, is as follows : — Let ABC be a right angled triangle having the triangle BAC ; the square described upon the side BC is equivalent to the squares described upon BA, AC. 185 H angle, the two straight lines AC, AG upon the opposite sides of... | |
| Euclides - 1834 - 518 pages
...right angles. PROPOSITION XLVII. to the tquarct described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right...angle BAC : the square described upon the side BC, shall be equal to the squares described upon BA, AC. On BC describe * the square BDEC ; and on BA,... | |
| John Playfair - Geometry - 1836 - 148 pages
...equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side BC, is equal to the squares described upon AB, AC. On BC describe (16. 2.) the square BDEC, and on AB, AC,... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...of a right-angled triangle, is equal to the similar, and similarly described figures upon its other sides. Let ABC be a right-angled triangle, having the right angle BAC : the rectilineal figure E, described upon BC, is equal to F, G, the similar figures, similarly described... | |
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