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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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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...aft=Ji»«aft|fiI»Jift-fi»»*»ftliaftHJi IP mm % m $. m is n * § tg « If in a right-angled triangle a perpendicular be drawn from the right angle to the base, the triangles adjoining the perpendicular are similar both to the whole and to one another. (If [in] a right-angled...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...ADC. [vi. Def. i] Therefore etc. PORISM. From this it is clear that, if in a right-angled triangle a perpendicular be drawn from the right angle to the base, the straight line so drawn is a mean proportional between the segments of the base. QED Simson remarks...
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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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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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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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