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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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...Prop. 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 to the similar and similarly-described figures upon the sides containing the right angle ;" and to the making of a circle...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...of a bricklayer. Voluntary Portion. 1. In right-angled triangles 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. 2. Bisect a given triangle by a straight line parallel to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...the similar and similarly described figures upon the tides containing the right angle. Let ASC be a right-angled triangle, having the right angle BAC. The...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...PROPOSITION XXXI. THEOREM. — If a triangle (ABC) be right-angled, 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. DEMONSTRATION. Draw the perpendicular...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...(II. Def. 6). PROPOSITION XXXI. THEOBEM. 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 angle. Given...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...side. PROP. 31. — THEOR. (Important.) 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. CON. 12, I. To draw a st. line J_ a given st. line from a given . without it. DEM. 8, VI. 4, VI. Cor....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...root of 9042049. Voluntary Portion: 2. In right-angled triangles 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. 3. Employ logarithms (1) to multiply ^OS6 by 39'86427. (2)...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...circle are equal to one another. 4. 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. 6. The base of a pyramid is a square, each side of which is...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...right angles. 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. (References— Prop. I. 4, 14, 31,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarlg described figures upon the sides containing the right angle. Let ABC\ie a right-angled triangle,...
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