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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. "
The first two books of the Elements of Euclid, with additional figures ... - Pagina 76
door Euclides - 1852
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The Freemason's Monitor: Or Illustrations of Masonry: in Two Parts

Thomas Smith Webb - 1818 - 299 pagina’s
...him ; the next day comes a froft, which * THEOREM.] In any right-angled triangle, the square which if described upon the side subtending the right angle,...described upon the sides which contain the right angle. A'MC/M/, till. i. prof. 47. - V. nips the fhoot, and when he thinks his greatnefs is ftill afpiring,...
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The Freemason's Monitor: Or, Illustrations of Masonry: in Two Parts

Thomas Smith Webb - 1818 - 312 pagina’s
...him ; the next day comes a frost, which * THEOREM.] In any right-angled triangle, the square which ii described upon the side subtending the right angle, is equal to the •quares described upon the (ides which contain the right angle. Euclid, lit. i. prop. 47. nips the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pagina’s
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side...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...
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The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1819 - 346 pagina’s
...peace." Psalm xxxvii. 37. The Forty-Seventh Problem of Euelid. The theorem is, that" in any right angled triangle, the square, which is described upon the...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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The American Masonic Register, and Ladies' and Gentlemen's Magazine, Volumes 1-2

1821
...brother, the great philosopher Pylhagoras, had demonstrated the problem that " in any 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pagina’s
...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...be a right-angled triangle having the right angle, ВАС ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC...
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The Republican, Volume 12

Richard Carlile - 1825
...in all ages have studied the general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie square which is described upon the side subtending...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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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - 1825
...polygon 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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 pagina’s
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...
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