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" IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. "
Manual of Euclid: Books IV, V, VI. - Página 76
por Euclid - 1868
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 páginas
...unnecessarily prolix. K 3 PROPOSITION VIII. THEOREM. In a right-angled triangle (ABC), if a perpendicular (AD) be drawn from the right angle to the base; the triangles on each side of it are similar to the whole triangle, aud to one another. DEMONSTRATION. Because the angles BAG and...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 páginas
...right-angled triangle, if a perpendicular is drawn from the right angle to the hypothenus.; , 1st. The triangles on each side of the perpendicular are similar to the whole triangle and to each other. 3d. The perpendicular is a mean proportional between the segments of the...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 356 páginas
...angle." B. Similar triangles are one to another in the duplicate ratio of their homologous sides. C. In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. 6. EXERCISES IN GEOMETRY. I. 1. Trisect a...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...without the circle, shall be equal to the square of the line which touches it. 2. In a right angled triangle if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. 3. Find the sum of n terms of the arithmetical...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 páginas
...therefore the triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Given ABC a right-angled triangle, having...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 páginas
...unnecessarily prolix. PROPOSITION VIII. THEOREM. In a right-angled triangle (ABC), if a perpendicular (AD) be drawn from the right angle to the base; the triangles on each side of it are similar to the whole triangle, and to one another. DEMONSTRATION. Because the angles BAC and...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...t?s. Sd. per cent, simple interest. 10. Extract the square root of 4904481024. Voluntary Portion. 1. In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. 2. Define a plane. If two planes which cut...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 136 páginas
...instance, the small angle B 30° is opposite to the smaller side AC, &c. 22. Euc. VI. Prop. VIII. — In a right-angled triangle if a perpendicular be drawn...right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another (that is, triangle ADC, triangle BDC, and triangle...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 páginas
...the sides about the equal angles are proportional. PBOP. 8. — THEOR. -(Important.) In a rt. angled triangle, if a perpendicular be drawn from the right...angle to the base ; the triangles on each side of it are similar to the -whole triangle and to one another. DEM. Ax. 11,1. All rt. /.s are equal to one...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 páginas
...points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. In a right angled triangle if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. 2. Tïnd the sum of n terms of the arithmetical...
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