 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...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... | |
 | William Betz - Geometry - 1916 - 536 pages
...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... | |
 | 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... | |
 | 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... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...which is 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... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...Prop. 116. A 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... | |
 | Harry Morton Keal, Clarence J. Leonard - Mathematics - 1921 - 238 pages
...of the circle. (6) Bisects the chord. (c) Is perpendicular to the chord. (d) Bisects the arc. 6. A tangent to a circle is perpendicular to the radius drawn to the point of tangency (Fig. 92), and conversely. 7. Arcs included between parallel lines are equal. FIG. 92. CIRCLE... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...which is 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... | |
 | Robert Remington Goff - 1922 - 136 pages
...triangle. *I70. A straight line perpendicular to a radius at its end is a tangent to the circle. *I7I. A tangent to a circle is perpendicular to the radius drawn to the point of tangency. *I72. Two tangents to a circle from an external point are equal. *I73. PROBLEM : Inscribe... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...tangent to circle O, because point P is the only point on XY which is on the circle. 138. Corollary 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Prove this corollary by showing that every other line drawn from the center to the tangent is longer... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
