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Llibres Llibres 71 - 80 de 120 sobre In right angled triangles, the rectilineal figure described upon the side opposite....
" 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: Viz. the First Six Books, Together with the Eleventh ... - Pągina 191
per Euclid, Robert Simson - 1806 - 518 pągines
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Henry Green - 1870
...31, bk. vi., where it is proved " 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;" and to the making of a circle the double or the half of another circle, by Prop. 2, bk. lit, " that...
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THE EDINBURGH UNIVERSITY CALENDAR 1871-72

EDWARD RAVENSCROFT - 1871
...at the base double the third angle. 5. 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. Simplify — (I ) 2a _ * + "' + *' , v "' 3 (a + x) 2(x — a) a*—x* and — x \/a — \Ja —...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 pągines
...PROPOSITION XXII. THEOREM. (Eucl. vi. 31.) In right'angled triangles, the rectilinear figure, described upon the side opposite to the right angle, is equal...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 BC, be equal...
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Treatise on Plane and Solid Geometry: For Colleges, Schools, and Private ...

Eli Todd Tappan - 1873 - 276 pągines
...hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side BC is equivalent to the sum of the two squares described on BA and AC....
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The Elements of Euclid, containing the first six books, with a selection of ...

James Martin (of the Wedgwood inst, Burslem) - 1874
...Def. 3). QEF ROPOSITION 31. — Theorem. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC. Them the rectilineal figure described upon BC shall...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876 - 348 pągines
...PROPOSITION XXII. THEOREM. (Eucl. vi. 31.) In right-angled triangles, the rectilinear figure, described upon the side opposite to the right angle, is equal...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 pągines
...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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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, Llibres 1-3

Edward Atkins - 1876
...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, Llibre 1

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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