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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 squares described on the sides which contain the right angle. "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Pagina 67
door George Darley - 1828 - 169 pagina’s
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pagina’s
...нс, are the squares described on BA, AC. Therefore the square described on the side вс, subtending the right angle, is equal to the squares described on the sides BA, AC, containing the right angle. Therefore iu right angled, triangles, &c. QED Deductions. 1. Describe...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pagina’s
...нс, are the squares described on BA, AC. Therefore the square described on the side вс, subtending the right angle, is equal to the squares described on the sides BA, AC, containing the right angle. Therefore in right angled triangles, &с. QED Deductions. 1. Describe...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 pagina’s
...DE, lying between the angles at A and B, which are respectively equal to those at D and E. This, &c. ART. 47. In any right-angled triangle the square described...sides containing the right angle, taken together. Let ABC be a triangle whose angle ABC is a right one; and let ACDE, AFGB, BHIC, be squares respectively...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 pagina’s
...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 angle, and...
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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
...BDEC is equal to the two squares GB, HC ; that is, the square described on the side BC, opposite to the right angle, is equal to the squares described on the sides AB, AC, including the right angle. Which was to be proved. PEOP. XLVIII. THEOE. If the square described...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pagina’s
...greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. VOLUNTARY PORTION. 1. Describe an isosceles triangle having each of the angles at the base double of...
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Responsions

University of Oxford - 1863 - 316 pagina’s
...straight line. 8. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 9. If a straight line be divided into any two parts, the square on the...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pagina’s
...diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter, and his brain were...
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Peter Parley's Annual: A Christmas and New Year's Present for Young People..

William Martin - 1866 - 426 pagina’s
...infinite use in all the affairs of life. The curious properties of these are shown in the problems below. In any right-angled triangle, the square described...sides containing the right angle, taken together. Let ABC be a triangle, whose angle ABC is a right one, and let ACDE, AFGB, BHIC be squares respectively...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...PEOPOSITION 47. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right H Let ABC be a right-angled triangle, having the right angle BA C : the square...
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