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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 191
av Robert Simson - 1806 - 518 sider
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Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI

Euclid - 1868 - 141 sider
...Ó/ÍOÍOIE TÍ Kai ó/toiftig U1'ity(i«I/iO/iíí'oii;. In right-angled triangles the figure described upon the side opposite to the right angle is equal to the similar and similarly described fyures upon the sides containing the right angle. Statement. — Let ABC be a right-angled triangle,...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 420 sider
...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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868
...given circle. 13. 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. 14. A, B being the centres of two circles which touch internally...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 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

Edinburgh univ - 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 sider
...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 - 1872
[ Beklager, innholdet på denne siden er tilgangsbegrenset. ]
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 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
...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 sider
...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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