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" In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. "
Elementary Plane Geometry: Inductive and Deductive - Página 68
por Alfred Baker - 1903 - 144 páginas
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 páginas
...equal to the diameter of another square, the former square shall be the double of the latter. (LXXV.) In any right-angled triangle, the square which is described on the side subtending the right angle, a& a diameter, is equal to the squares described upon the other two sides, as diameters. DEDUCTIONS...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 páginas
...which is equal to the diameter of a square, is the double of that square. PROP. LXXVII. 100. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle, as a diameter, is equal to the squares described upon the other two sides, as diameters, is equal to...
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The Edinburgh Magazine and Literary Miscellany, Volumen88

1821
...when Pythagoras discovered that the square described on the hypothenuse of a right-angled triangle was equal to the sum of the squares described on the sides containing the right angle, lie ran into the streets in an ecstasy of wild delight, vociferating, " I have found it, I have found...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...sides of a right angled triangle any similar rectilineal ^figures be similarly described, the Jigure described on the side subtending the right angle is equal to the sum of the Jtgures on the other two sides which contain the right angle. From the right *Z- draw a perpendicular...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volumen13

1823
...the 47th of the first book of Euclid's Elements, that in, every right-angled triangle the square of the side subtending the right angle is equal to the sum of the squares of the other two sides, has immortalized his name ; and whether we consider the inherent beauty...
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Register

University of Cambridge - 1830
...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 angles of...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833
...which itself is a part, which is absurd. PROP. 47. THEOR. In a right angled triangle, the squares of the side subtending the right angle is equal to the sum of the squares of the sides which contain the right angle. Describe squares on the sides of the triangle ;...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 páginas
...plane passing through them. 6. In any right-angled triangle, the square which is described 1830 upon the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 8. If two straight lines meeting one another...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 páginas
...result. The principle is as follows : In any right-angled triangle, the square of the hypotenuse or side subtending the right angle, is equal to the sum of the squares on the sides which contain the right angle. We repeat the diagram, in order that the reader...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 páginas
...result. The principle is as follows : In any right-angled triangle, the square of the hypotenuse or side subtending the right angle, is equal to the sum of the squares on the sides which contain the right angle. We repeat the diagram, in order that the reader...
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