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" ... 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 65
by Elias Loomis - 1861 - 234 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 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 IK', is equal to the squares described upon BA, AC. • 46.1. On BC describe » the square BDEC, and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 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 BA, AC. »46, J. On BC describe » the square BDEC, and on BA,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...the right angle, is equal to the squares described upon the sides . winch 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. 46. i. On BC describe' the square BDEC, and on BA, AC the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 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 is equal to the squares described upon BA, AC. ' «6. 1. On BC describe* the square BDEC,and on BA, AC...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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 BA, AC. On BC describe (46. 1.) the square BDEC, and on BA, AC...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...
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Elements of Geometry: With Notes

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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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,...
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The Element of Geometry

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,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

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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