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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 ... - Side 187
av Robert Simson - 1806 - 518 sider
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...may be equal to a given space. .. 240 31. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle is equal to the sum of the similar and similarly described figures upon the sides containing the right angles. . ....
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...equilateral. Proposition 47. — Theorem. In any right-angled triangle, the square which is described upon the side opposite to the right angle is equal to the squares described upon the sides which contain the right angle. CG Is a straight line. JiAH Is a A...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...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
...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
...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 - 372 sider
...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 with ..., Volum 22

1878
...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
...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
...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 - 1880 - 400 sider
...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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