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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. "
A System of Popular Geometry: Containing in a Few Lessons So Much of the ... - Σελίδα 31
των George Darley - 1836 - 128 σελίδες
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...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...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...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...

The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - 1828 - 190 σελίδες
...our TRIGONOMETRICAL, COMPANION, where its details will be set forth under a more convenient aspect. ART. 47- " In any right-angled triangle the square...sides containing the right angle, taken together." This theorem, at the same time that it unfolds one of the most remarkable truths in the whole world...

The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 σελίδες
...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...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...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...

Responsions

University of Oxford - 1863 - 316 σελίδες
...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...

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863 - 482 σελίδες
...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...

Peter Parley's Annual: A Christmas and New Year's Present for Young People..

William Martin - 1866 - 426 σελίδες
...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...described on the sides AC, AB, BC, then ACDE is equal to AFGB and BHIC taken together. Dem. Draw BE, F 0, as also BK, parallel to A E. In the triangles ACP...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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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