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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. "
Life of James Ferguson, F.R.S.: In a Brief Autobiographical Account, and ... - Page 60
by James Ferguson, Ebenezer Henderson - 1867 - 503 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...angles right angles. .f PROP. XLVII. THEOR, In any right angled triangle, the square whieh is deseribed upon the side subtending the right angle, is equal to the squares deseribed upon the sides whieh eontain the right angle. Let ABC he a right angled triangle having the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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, 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...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 16

Industrial arts - 1832 - 522 pages
...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, is equal to the squares described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse...
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The London encyclopaedia, or, Universal dictionary of ..., Part 1, Volume 13

Thomas Curtis (of Grove house sch, Islington) - 412 pages
...by the name of the Pythagoric theorem, from its supposed inventor Pythagoras, viz. ' That, in every rightangled triangle, the square described upon the side subtending the right angle is equal to both the squares described upon the sides containing the right angle.' On the other hand, a demonstrable...
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Calendar

University of Cambridge - 1830 - 554 pages
...to 11. First, Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 2. The sides about the equal...
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Mechanics' Magazine, Volume 16

Technology - 1832 - 504 pages
...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, is equal to the squares described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse...
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The Quarterly Journal of Education, Volume 5

Education - 1833 - 412 pages
...to three given straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending...right angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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, 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 BAG...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...any parallelogram, are equal to one another. XLVII. 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. XLVIII. If the square described upon one of the sides of a triangle,...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...has all its angles right angles. PROP XVII. THEOR. In any right angled triangle, the square ivhich is described upon the side 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...
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