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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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 278
by Thomas Malton - 1774 - 440 pages
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...similarity, 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....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...isosceles triangle having each of the angles at the base double the third angle. 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. An...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...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 from the right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another (that is,...
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Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - Marine engines - 1862 - 200 pages
...small angle B 30° is opposite to the smaller side AC, &c. * 26. Euc. VI. Prop. VIII. 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 (that is,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...equiangular to the triangle QED Wherefore, if two triangles, &c. PROP. Vni.— THEOREM. In a right-angled triangle, if a perpendicular be drawn from the right angle to the base ; then the triangles on each side of it are similar to the whole triangle, and to one another....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 8. THEOREM. 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. Let ABC...
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Manual of Euclid: Books IV, V, VI.

Euclid - 1868 - 138 pages
...ßáaiv кàQfтоç á^0jr тà irpbç тy кaQíтф Tpiofidá laTÍ Tif тf o\if Kai In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of the perpendicular are similar to the whole and to Statement. —...
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Annual Report of the Normal, Model, Grammar, and Common Schools in Ontario ...

Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...line. 11. Inscribe an equiangular and equilateral pentagon in a given circle. 12. 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 each other. No. 15....
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The geometry of the circle and mathematics as applied to geometry by ...

James Smith - 1869 - 490 pages
...whole triangle AC D. Now, by Euclid: Prop 8 : Book 6 : it is made to appear that: In a right-angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of it are similar to the whole triangle and to each other,...
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The Geometry of the Circle and Mathematics as Applied to Geometry by ...

James Smith - Circle-squaring - 1869 - 459 pages
...circle X, and, (OH2 — H T2) = area of a regular inscribed dodecagon to the circle X. In a right-angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of it, are similar to the whole triangle and to each other....
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