This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 Excerpt: ... of the circle ABC; to prove that AB touches a circle concentric with the circle ABC. From O, the centre of the 0 ABC, draw ON j. to AB. Since AB is of constant length, .'. the perpendicular distance ON is constant;.'. N lies on a circle with centre O, and AB touches this circle, since AB is j. to ON. Example 4. ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 Excerpt: ... of the circle ABC; to prove that AB touches a circle concentric with the circle ABC. From O, the centre of the 0 ABC, draw ON j. to AB. Since AB is of constant length, .'. the perpendicular distance ON is constant;.'. N lies on a circle with centre O, and AB touches this circle, since AB is j. to ON. Example 4. Describe a circle so as to pass through a given point and touch a given straight line at a given point. To describe a circle so as to pass through the point A and touch the straight line BC at N. Draw NO l to BC, join NA, and draw AO making L. NAO = _ ANO and meeting NO in O. Since L NAO = L ANO, OA = ON..." a circle with centre O and radius OA will pass through A and N and will touch BC at N, since ON is j. to BC. NUMERICAL EXERCISES. 1. Find the length of the tangent drawn to a circle of radius-9 in. from a point 4'1 ins. from the centre. 2. A point is 2-6 ins. from the centre of a circle, and the length of the tangent from this point is 2'4 ins.; find the radius of the circle. 3. A tangent is drawn from an external point to a circle of radius 2-4 ins.; if the length of the tangent be 7 ins., find the distance of the point from the centre. 4. A point is 13 ins. from the centre of a circle of radius 5 ins., and 15 ins. from the centre of a circle of radius 9 ins.; show that the tangents from this point to the circles are equal. 6. Three concentric circles, of radii 12 ins., 13 ins., and 20 ins., are drawn; a tangent is drawn to the smallest circle meeting the others in P, Q; find the length of PQ. EXERCISES. 1. The tangents to a circle at the ends of a diameter are parallel. 2. If a number of equal tangents be drawn to a circle, their other ends lie on a circle. 3. From any point on the outer of two concentric circles, tangents are drawn to the...
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Add this copy of Plane Geometry for Secondary Schools to cart. $66.41, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2015 by Palala Press.
