 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...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... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...lies outside the circle, and hence AB is tangent to the circle. § 197 199. Cor. 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Since all points in AB except C lie outside the circle, OC Is the shortest segment to AB from 0. Hence... | |
 | William Betz - Geometry - 1916 - 536 pages
...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... | |
 | Clyde Elton Love - Calculus - 1916 - 390 pages
...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... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...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... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...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
...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
...perpendicular to a radius at its outer extremity is a tangent to the circle. THEOREM 69. A tangent to a circle is perpendicular to the radius drawn to the point of contact. THEOREM 70. If two tangents meet at a point without a circle, the distances from the intersection to... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...line perpendicular to a radius at its outer extremity is tangent to the circle. Cor. 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Cor. 2. The perpendicular to a tangent at the point of contact passes through the center of the circle.... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...line perpendicular to a radius at its extremity is a tangent to the circle. Prop. 117. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Prop. 120. The two tangents drawn to a circle from an exterior point are equal. Prop. 124. // two circles... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
