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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure de- See N. scribed upon the side opposite to the right angle, is equal...be a right angled triangle, having the right angle BAG : The rectilineal figure described upon BC is equal to the similar, and similarly described figures...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...Which was to be done. PROP. XXVI. THEOR. In right angled triangles the rectilineal figure described upon the side opposite to the right angle, is equal...be a right angled triangle, having the right angle B AC ; the rectilineal figure described upon BC is equal to the similar and similarly described figures...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 sider
...a triangle to be equal to — 0 ? £ 17. 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. 18. If a straight line be at right angles to a plane, every plane passing through it shall be at right...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...which is described on half the line. XXXI. 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. XXXII. if two triangles, which have two sides of the one proportional to two sides of the other, be...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...C (def. 3. 6.). 146 PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...be a right angled triangle, having the right angle BAG : The rectilineal figure described upon BC is equal to the similar, and similarly described figures...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...(II. Def. 6). PROPOSITION XXXI. 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 BAG ; the rectilineal figure described upon BC is equal...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 sider
...is equal to the square hb + sq. b g. M.—Express fully, in words, the truth you have demonstrated. upon the side opposite to the right angle, is equal to the sum of the squares described upon the sides containing the right angle. ,^—If required to construct...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...Which was to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...angle BAC : the rectilineal figure described upon BC shall be equal to the similar and similarly described figures upon BA, AC. iu.1 Draw the perpendicular^...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 sider
...Which was to be done. PROP. XXXI. THEOR. Iff 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.* * See Note. Let ABC be a right angled triangle, having the right angle BAG ; the rectilineal figure...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...and . -jnean ratio. PROP. XXXI. THEOR. In a right-angled triangle, the rectilinear figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. PROP. XXXII. THEOR. If two triangles, having two sides of the one proportional to two sides of the...
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