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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. "
Solutions of the Cambridge Problems: From 1800 to 1820 - Side 654
av John Martin Frederick Wright - 1825 - 653 sider
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Revelations in Masonry, Del 2

1827 - 72 sider
...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, Volum 16

1832 - 522 sider
...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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Calendar

University of Cambridge - 1830 - 554 sider
...o'clock, 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, Volum 16

1832 - 504 sider
...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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The Quarterly Journal of Education, Volum 5

1833 - 412 sider
...straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending the 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 contained...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...has 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 BAG ; the square described upon the side...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 sider
...angled triangle, the square which is 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...
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The Element of Geometry

John Playfair - 1836 - 148 sider
...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,...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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...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,...described upon the sides which contain the right angle. XLVIII. If the square described upon one of the sides of a triangle, be equal to the squares described...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...its angles right angles. PROPOSITION XL VII. 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 BAG ; the square described upon the side...
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