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" In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 191
by Robert Simson - 1806 - 518 pages
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...TOCtaD|>u ar Proposition 47. — Theorem. Ji% any right-angled triangle, the square which is drscribfA upon the side opposite to the right angle is equal to the squares described upon the sides which contain the right angle. Let ABC Lo a right-angled triangle...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...XXII. THEOREM. (Eucl. vi. 31.) In right-angled triangles, the rectilinear figure, described upon Ihe side opposite to the right angle, is equal to the...the sides containing the right angle. Let ABC be a right-angled A , having the right L BAC. Then must the rectilinear figure, described on BO, be equal...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...the second. PROP. E. THEOREM. (E. 6. 31). In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle is equal to the similar and similarly described rectilineal figures upon the sides containing the right angle. Let ABO bo a right-angled triangle,...
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First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 408 pages
...area of the quadrilateral figure. 3. In a right-angled triangle the rectilineal figure described on the side opposite to the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 4. If two planes which cut one another be each of them perpendicular...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 22

1878 - 632 pages
...the point Q. 4. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 5. Determine the price of the 3 per cents, consols when £5,230...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAG. Then the square described upon the side BC shall be equal to the squares described upon BA, A...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...reciprocal rectilineal figures : and prove that in right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. 6. If the sides of a triangle be cut proportionally, the straight line which joins the points of section...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...31. THEOREM. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...equiangular hexagon in a given circle. 14. In right-angled triangles the rectilineal figure described upon the side opposite to the right angle is equal...figures upon the sides containing the right angle. 15. If two straight lines be cut by parallel planes they shall be cut in the same ratio. 16. Circles...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 516 pages
...the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC. Then the square described upon the side BC shall be equal to ihe squares described upon BA, A C. On...
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