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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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The Thirteen Books of Euclid's Elements

562 pages
...reason the rectangle BC, CD is also equal to the square on AC. And since, if in a right-angled triangle a perpendicular be drawn from the right angle to the base, the perpendicular so drawn is a mean proportional between the segments of the base, [vi. 8, Por.] therefore,...
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Parliamentary Papers, Volume 39

Great Britain. Parliament. House of Commons - Bills, Legislative - 1852 - 796 pages
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Mathematics for The Services

100 pages
...CD and BD in a triangle where AB = 3 in., BC=5 in. and CA = 4* in. 23. Prove that in a right-angled triangle if a perpendicular be drawn from the right angle to the hypotenuse then the two triangles so formed and the original triangle are all similar. Calculate the...
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Sessional Papers, Volume 39, Issue 11

Canada - 1905 - 1642 pages
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Arq: Architectural Research Quarterly, Volume 2

Architectural design - 1996 - 410 pages
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Annual Report

1891 - 856 pages
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Calendar

University of St. Andrews - 1891 - 440 pages
...equal. If an equilateral polygon be inscribed in a circle it is also equiangular. 5. In any right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles on each side of it are similar to the whole triangle and to each other. ABCD...
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