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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
A Collection of Problems and Examples Adapted to the "Elementary Course of ... - Página 160
de Harvey Goodwin - 1851 - 173 páginas
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The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1819 - 364 páginas
...Forty-Seventh Problem of Euelid. The theorem is, that" in any right angled triangle, the square, which is described upon the side subtending the right angle,...described upon the sides, which contain the right angle.'' This was a discovery made by oar illustrious friend and brother, the great PYTHAGORAS, who, as it has...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle,...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...
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The American Masonic Register, and Ladies' and Gentlemen's Magazine, Volumes 1-2

1821 - 780 páginas
...right angled triangle, the square which is described upon the side subtending the right angle, was equal to the squares described upon the sides which contain the right angle," he with excessive joy exclaimed, in the Greek language, Eureka, " I have found it;" and upon the discovery...
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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - 1825 - 798 páginas
...whose interior angles equal ten right angles ? 2. In any right-angled triangle, the square -when is described upon the side subtending the right angle,...described upon the sides which contain the right angle. 3. If E be any point in a rectangle, AE3 + ED8 = EB" + EC9. 4. Bisect the four, sides of the trapezium...
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The Republican, Volume 12

Richard Carlile - 1825 - 920 páginas
...studied the general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie square which is described upon the side subtending the right angle,...described Upon the sides which contain the right angle. Euclid, lib. i. prop. 47, Erery art which is necessary for the support of authority and food government,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...Propoíifion XL FT/. Theorem, In any right-angled triangle, the square which is described upon the ¿de 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, ВАС ; the square described upon the side...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...all its angles right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is described upon the side subtending the right angle,...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...
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Revelations in Masonry, Parte 2

1827 - 72 páginas
...any right-angled triangle, the square which is described upon the side subtending the right-angle, is equal to the squares described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. stitution are effectually answered, and religious animosities happily terminated....
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 16

1832 - 522 páginas
...refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is described upon the side, subtending the right angle,...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse of any rightangled triangle be the diameter...
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Mechanics' Magazine, Volume 16

1832 - 504 páginas
...refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is described upon the side, subtending the right angle,...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse of any rightangled triangle be the diameter...
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