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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...angles right angles. PROP. XLVII. THEOR. IN any right angled triangle, the square which is described ' G upon the side subtending the right angle, is equal...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 Elements of Euclid

Euclid - 1838 - 470 páginas
...parallelogram that has one right angle, has all its angles right angles. THE ELEMENTS OF EUCLID. G upon the side subtending the right angle, is equal...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 Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 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 BC shall be equal to the squares described upon BA, AC....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 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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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 páginas
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides 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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 páginas
...right-angled triangle, the square which __ described upon the side subtending the right angle, is equivalent 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 вc...
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The Freemason's Monitor: Containing a Delineation of the Fundamental ...

Z. A. Davis - 1843 - 408 páginas
...of our ancient friend and b-other, * THEOREM.] — 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. — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels through Asia, Africa and Europe,...
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A course of practical geometry for mechanics

William Pease - 1843 - 80 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." If a third square had been given, a side of it would have been applied from B on BA (produced if necessary,)...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...angles right angles. PROPOSITION XLVII. THEOREM. 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. Then the square described upon the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...angles right angles. PROPOSITION XL VII. 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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