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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 School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Side 75
av Euclides - 1874
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volum 16

1832
...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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Mechanics' Magazine, Volum 16

1832
...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, Volum 5

1833
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...which is described upon the side subtending the right awgZe, is equal to the squares described up. on the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC 5 the square described upon the side BC is equal to...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...one right angle, has all its angles right angles. PROPOSITION XLVII. to the tquarct described upon the sides which contain the right angle. Let ABC be...having the right angle BAC : the square described upon the side BC, shall be equal to the squares described upon BA, AC. On BC describe * the square...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...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...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...to the sum of the squares of the other two sides, the angle contained by those two sides shall be a right angle. Let ABC be a right-angled triangle, having the right angle, В AC : the square of В С shall be equal to the sum of the squares of В A, AC. Upon В С, В A,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...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...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...upon the sides AB, AC. Therefore, 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. Which was to be proved. PROP. XVIIL THEOR. If the square...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 sider
...corresponding side of the other—these triangles arc in every respect equal to each other, ibid. opposite the right angle is equal to the squares described on the sides containing the right angle, taken together, 33. ART. 48. The centre of a circle falls within the circumference,...
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