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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 Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 38
by Euclid, James Thomson - 1845 - 352 pages
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Section 3. 1. If a straight line be divided into any two part» the square of the whole line is equal...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...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, is equal to the...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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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...together equal to two right angles. II. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. III. If a straight line be divided into any two parts, the rectangle contained by the whole and one...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...regular solids.] PEOP. XLVII. THEOB. In any right,angled triangle, the square which is described upon the side subtending the right angle, is equal to the...be a right,angled triangle having the right angle BAG; the square described upon the side BC is equal to the squares described upon BA, AC. • xlvi....
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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...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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The London University Calendar

London univ - 1852 - 358 pages
...rectangle of the same altitude. 9. In any right-angled triangle the square which is described upon the side subtending the right angle, is equal to the...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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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 pages
...EUCLID AND ALGEBRA. Morning Paper. (1.) 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 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

Education - 1852 - 478 pages
...EUCLID AND ALGEBRA. Morning Paper. 1. 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 other two sides which contain the right angle. Is this proposition included in any more general one...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...angles. PROP. XLVII. — THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...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 BO describe (I. 46.) the...
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