 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...point in AB except C. 2. Draw OD. 3. .-. OD > 0C. Why ? 4. .-. point D lies outside of the (•)• § 175, c 5. .-. every point in AB except C lies outside...the circle, OC Is the shortest segment to AB from O. Hence OC±AB. 200. Cor. 2. A line perpendicular to a tangent at its point of contact passes through... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...perpendicular to a radius at its outer extremity is tangent to the circle. 93. A straight line which is tangent to a circle is perpendicular to the radius drawn to the point of contact. For the radius is shorter than the segment joining the center of the circle to any other point on the... | |
 | William Betz - Geometry - 1916 - 536 pages
...circle, and therefore AB is tangent to the circle at C. (Definition of a tangent, § 66.) 271. COROLLARY 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. For OC is the shortest line from O to AB, and is therefore J_ to AB. 272. COROLLARY 2. A perpendicular... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...through the center of a circle perpendicular to a chord bisects the chord and the subtended arcs. § 164. A tangent to a circle is perpendicular to the radius drawn to the point of contact. § 173. A central angle has the same numerical measure as its intercepted arc. § 185. If, in geometric... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...Example. To construct a tangent to a circle at a point on the curve. The known property here is that a tangent to a circle is perpendicular to the radius drawn to the point of contact. Hence, to construct the tangent, draw a radius to the given point P and then draw a perpendicular to... | |
 | Clyde Elton Love - Calculus - 1916 - 390 pages
...3^)2. Solve in two ways. 12. If y2 = 4 az, find y". Cf. Ex. 19, p. 25. 4n«. - — . y* 13. Prove that a tangent to a circle is perpendicular to the radius drawn to the point of contact. 14. If z2 -f- y2 = a2, find y". 16. Show that" 2 d*x dx* dy* = — \dx! 16. Find the inverse of each... | |
 | Clyde Elton Love - Calculus - 1916 - 380 pages
...3?/)2. Solve in two ways. ' 12. If ^2 = 4ax, findy". Cf. Ex. 19, p. 25. Ans.— — . y* 13. Prove that a tangent to a circle is perpendicular to the radius drawn to the point of contact. 14. If x2 + y3 = a2, find y". 16. Show that dy* -dx 16. Find the inverse of each of the following functions... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...II. CONVERSELY, if two chords are equidistant from the center, they are equal. 210. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact. 211. A straight line perpendicular to a radius at the point where the line meets the circle is tangent... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...segments of the chords are equal." PLANE GEOMETRY. BOOK II PROPOSITION XII. THEOREM 210. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact. Given BC tangent to the circle 0 at the point A. To orove£ C _L OA. To prove BC J. OA. Proof. 1. Take... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...tangent can be drawn to a circle at a given point on the circle. TEST FOR PERPENDICULARS 145. THEOREM 69. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Fie. 206. Hypothesis: QO is any circle, AB is tangent to QO at A . OA is the radius drawn to the point... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
