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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 70

An illustration from 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, leaf 70
e EBx\, is equal to the angle EDF: but EDF is aright angle, wherefore EBA is a right angle; and EB is drawnfrom the centre; but a straight line drawn from the extremity ofa diameter, at right angles to it, touches the circle (Cor. 16. 3.):therefore AB touches the circle; and it is drawn from the… … PROP. XVIII. THEOR. If a straight line touch a circle, the straight linedrawn from the centre to the point of contact, shall beperpendicular to the line touching the circle. Let the straight line DE touch the circle ABC in the point C;take the centre F, and draw the straight line FC; FC is…

Mathematics, Greek · Geometry · Trigonometry

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