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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 figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 69
by Euclides - 1840
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...ratio in C (VI. Def. 3). QEF ROPOSITION 31. — Theorem. In right-angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC. Them the rectilineal figure described...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...proved for triangles. VI. 19 Cor. PROPOSITION XXII. THEOREM. (Eucl. vi. 31.) In right-angled triangles, the rectilinear figure, described upon the side opposite...the similar and similarly described figures upon the sidfs containing the right angle. Let ABC be a right-angled A , having the right L BAC. Then must the...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...the given line 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 - 130 pages
...parallelogram. It is 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the tide opposite to the right angle, is equal to the similar and similarly described Jiijmes upon the sides containing the right angle. Let ABClie a right-angled triangle, having the right...
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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...figures upon 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...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...rectilineal figure upon 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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