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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. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 92
by Dennis M'Curdy - 1846 - 138 pages
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Guide to the Army Competitive Examinations: being a Compendium of practical ...

Alexander Hadden Hutchinson - Military art and science - 1861 - 100 pages
...the line between the 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...triangles on each side of it are similar to the whole triangle, and to one another. 2. Tnd the sum of n terms of the arithmetical progression 1, 3, 5,...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...angle at the circumference upon the same base, that is upon the same part of the circumference. 8. In a right angled triangle, if a perpendicular be...triangles on each side of it are similar to the whole triangle, and to one another. 9. ABC is a given triangle and D a given point within it, which is joined...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...similarity, the sides about the equal angles are proportional. PBOP. 8. — THEOR. -(Important.) In a rt. angled triangle, if a perpendicular be drawn from...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 another. 32,1. 4, VI. Def....
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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...triangles on each side of it are similar to the whole triangle and to one another (that is, triangle ADC, triangle BDC, and triangle ACB are similar). Now,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 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...triangles on each side of it are similar to the whole triangle, and to one another. 3. An open box measures 8 inches internally in length, breadth, and depth,...
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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...triangles on each side of it are similar to the whole triangle and to one another (that is, triangle ADC, triangle BI) C, and triangle ACB are similar)....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...PROPOSITION VIII. THEOREM. ln a right-angled triangle, if a perpendicular be drawn from the right agh: 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...
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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. (References...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...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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