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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. "
The first two books of the Elements of Euclid, with additional figures ... - Pagina 76
door Euclides - 1852
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 pagina’s
...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 pagina’s
...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 Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pagina’s
...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...the right angle. Let ABC be a right-angled triangle, o having the right angle в A c ; the square described on вc is equal to the squares described upon...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 pagina’s
...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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General Report on Public Instruction in the Bengal Presidency

1852 - 478 pagina’s
...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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...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...be a right-angled triangle having the right angle BAC ; the square described upon the sideBC is equal to the squares described upon BA, AC. On BC describe...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pagina’s
...every parallelogram that has one right angle has all its angles right angles. PROP. XLVII. — THEOREM. In any right-angled triangle, the square which is...be a right-angled triangle having the right angle BAC; the square described upou the side BCis equal to the squares described upon BA, AC. H r/ ' L On...
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The Assurance Magazine, and Journal of the Institute of Actuaries, Volume 3

1853 - 394 pagina’s
...Show that in any right-angled triangle, the square which is described upon the hypothenuse, that is, the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. When the sides of a right-angled triangle are 30 and 40, what is the hypothenuse? 29. Show that, if...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pagina’s
...one right angle has all its angles right angles. PROPOSITION XLVII.— THEOREM. In any right-angted triangle, the square which is described upon the side...the right angle is equal to the squares described uyxm the sides which contain the right angle. Lit1 abc be a right.angled triangle having the right...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Boek 1

Euclides - 1853 - 334 pagina’s
...opposite to the right angle, shall be equal to the squares, which are described on the sides including the right angle. Let ABC be a right-angled triangle having the right angle BAC. Then the square described on the side BC, opposite to the right angle BAC, shall be equal to the...
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