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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 ... - Σελίδα 92
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...triangle DEF, &c. QED . \Vhercfcre if two triangles, Book VI. V— v-"' PROP. VIII. THEOR. See N. TN a right angled triangle, if a perpendicular be drawn ,•. from the right angle to the bale ; the triangles on each fide of it are fimjlar to the whole triangle, and to one another. Let...

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...equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED G D 5.1. F PROP. VIII. THEOR. See N 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. Let ABC be a right angled triangle, having the right angle BAC ; and...

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...equiangular, and have those angles equal about which the sities are proportionals. Prop. VllI.Thcor. 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. Prop. IX. Prob. From a given strait line to cut off any part required....