The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 137
PROP. VIII. THEOR. In a right angled triangle, if a perpendicular bedrawn from the right angle to the base, the triangleson each side of it are similar to the whole triangle, andto one another.* See Note. 134 THE ELEMENTS OF EUCLID. BOOK VI. … Let ABC be a right angled triangle, having the right angleBAC| and from the point A let AD be drawn perpendicular tothe base BC: the triangles ABD, ADC are similar to the wholetriangle ABC, and to one another. Because the angle BAC is equal to the angle ADB, each ofthem being a right angle, and…
Mathematics, Greek · Geometry · Trigonometry
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