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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. "
Military examinations. Mathematical examination papers, set at entrance to ... - Página 36
por Sandhurst roy. military coll - 1880
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...PROPOSITION VIII. THEOREM. In a right-angled triangle, if a perpendicular be drawn from the rightangle to the base ; the triangles on each side of it are...similar to the whole triangle, and to one another. Let ABC be a right angled-triangle, having the right angle BAC; and from the point A let AD be drawn...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...PROPOSITION VIII. THEOREM. ln a right-angled triangle, if a perpendicular be drawn from the right a»gh: to the base ; the triangles on each side of it are...similar to the whole triangle, and to one another. Let ABC\>& a right-angled triangle, having the right angle BAC; and from the point A let AD be drawn...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...equiangular, and those angles are equal about which the sides are proportional . . . . . . . . VI. 7. 6. In a right-angled triangle, if a perpendicular be drawn from the right angle upon the opposite side, it divides the triangle into parts which are similar to the whole and to one...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 páginas
...PROP. VIII. THEOR. In a "tght angled triangle if a perpendicular be drawn from the nght angle tithe base ; the triangles on each side of it are similar to the whole trianglt, end to one another. Let ABC be a right angled triangle, having the right angle BAG ; and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 8. THEOREM. In a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC; and from the point A, let AD be drawn...
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Manual of Euclid: Books IV, V, VI.

Euclid - 1868 - 138 páginas
...firi rr¡v ßáaiv кàQfтоç á^0jr тà irpbç тy кaQíтф Tpiofidá laTÍ Tif тf o\if Kai In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of the perpendicular are similar to the whole and to Statement. — Let ABC be a right-angled triangle,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...THEOREM. In a right-angled triangle, if a perpendicular be draion from the rightangle to the bate ; the triangles on each side of it are similar to the whole triangle, and to one another, Let ABC be a right angled-triangle, having the right angle BA C; and from the point A let AD be drawn...
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Annual Report of the Normal, Model, Grammar, and Common Schools in Ontario ...

Ontario Chief Superintendent of Education - 1869 - 450 páginas
...given • straight line. 11. Inscribe an equiangular and equilateral pentagon in a given circle. 12. In a right-angled triangle if a perpendicular be drawn...side of it are similar to the whole triangle, and to each other. No. 15. NATURAL PHILOSOPHY— BOTH DIVISIONS. 1. Describe briefly the difference between...
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The Geometry of the Circle and Mathematics as Applied to Geometry by ...

James Smith - 1869 - 459 páginas
...similar to the 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 - 1869 - 492 páginas
...about the circle X, and, (OH ' — HT ' ) = 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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