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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 companion to Euclid: being a help to the understanding and remembering of ... - Page 37
by Euclides - 1837 - 88 pages
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Papers for the Schoolmaster, Volume 2

1852 - 314 pages
...prone to rush on steel, disdained to spare An ill-saved life that must again return." THOMPSON. 10. In any right-angled triangle the square which is described...described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...join CD meeting AB in E ; shew that CE is equal to ED. 2. In any right-angled triangle, the square described upon the side subtending the right angle,...described upon the sides which contain the right angle. If ABC be a triangle whose angle A is a right angle, and BE, CF be drawn bisecting the opposite sides...
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The Principles of the Solution of Senate-house 'riders': Exemplified by the ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...the greater, which is absurd. Therefore CE = ED. 1851. (A}. In any right-angled triangle, the square described upon the side subtending the right angle is equal to the squares described on the sides which contain the right angle. (l. 47.) (B). If ABC be a triangle whose angle A is a right...
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The London University Calendar

London univ - 1852 - 358 pages
...perimeter of an isosceles triangle is greater than that of an equal rectangle of the same altitude. 9. In any right-angled triangle the square which is described...described upon the sides which contain the right angle. 10. Any two parallelograms having been described upon two sides of a given triangle, show how to apply...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...figure formed is called a cube, and is the second of the five regular solids.] PEOP. XLVII. THEOB. In any right,angled triangle, the square which is...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 BC...
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General Report on Public Instruction in the Bengal Presidency

Education - 1852 - 478 pages
...diameters have all the same area. FOUHTH CLASS. EUCLID AND ALGEBRA. Morning Paper. 1. In any right angled triangle, the square which is described upon the side...right angle is equal to the squares described upon the other two sides which contain the right angle. Is this proposition included in any more general one...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 pages
...diameters have all the same area. FOURTH CLASS. EUCLID AND ALGEBRA. Morning Paper. (1.) In any right angled triangle, the square which is described upon the side...right angle is equal to the squares described upon the other two sides which contain the right angle. Is this proposition included in any more general one...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...constructed. PBOP. XLVTI. THEOB. In a right-angled triangle, the square described upon the side opposite to the right angle is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, o having the right angle в A c ; the square described on вc is...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...Hence every parallelogram that has one right angle has all its angles right angles. PROP. XLVII. — THEOREM. In any right-angled triangle, the square...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC; the square described upou the side BCis...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...every parallelogram that has one right angle has all its angles right angles. PROPOSITION XLVII. THEOR. In any right-angled triangle, the square which is...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 sideBC...
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