Elements of geometry and trigonometry . ,and con««<itipnMy aI»to to two ««-g nnlj : but the imalior ouo w alvrayn meant? oUm the rontriry ?» exproMed. n*6 42 GEOMETRY. An inscHhed triangle is one which, Hke BAC, has its threeangular points in the circumference. And, generally, an inscribed figure is one, of which all theangles have their vertices in the circumference. The circle isthen said to circumscribe such a figure. 7. A secant is a line which meets the circum- ^^ ^-r ference in tw o points, and lies partly within -^ and partly without the circle. AB is a secant 8. A tangent is a li
Elements of geometry and trigonometry . ,and con««<itipnMy aI»to to two ««-g nnlj : but the imalior ouo w alvrayn meant? oUm the rontriry ?» exproMed. n*6 42 GEOMETRY. An inscHhed triangle is one which, Hke BAC, has its threeangular points in the circumference. And, generally, an inscribed figure is one, of which all theangles have their vertices in the circumference. The circle isthen said to circumscribe such a figure. 7. A secant is a line which meets the circum- ^^ ^-r ference in tw o points, and lies partly within -^ and partly without the circle. AB is a secant 8. A tangent is a lin« which has but onepoint in common with the circumference. CDis a tangent. _ The point M, where the tangent touches the ccircumference, is called the point of contact. In like manner, two circumferences toucheach other when they have but one point inoommon. 9. A polygon is circuinscribed about acircle^ when all its sides are tangents tothe circumference : in the same case, thecircle is said to be inscribed in the po-lygon». PROPOSITION I. THEOREM. Er>ery diameter divides the circle and its circumference into twoequal parts» Let AEDF be a circle, and AB a , if the figure AEB be applied to AFB,their common base AB retaining its position,the curve line AEB must fall exactly on thecurve line AFB, otherwise there would, inthe one or tlie other, be points unequally dis-tant from the centre, which is contrary tothe definition of a circle.
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Keywords: ., bo, bookcentury1800, booksubjectgeometry, booksubjecttrigonometry
