 | 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...to the sphere 0. Give a proof similar to that of § 284. 772. Theorem. A plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. For if the plane was not perpendicular to the radius it would have a point less than the length of the... | |
 | 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... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...to the sphere 0. Give a proof similar to that of § 284. 772. Theorem. A plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. For if the plane was not perpendicular to the radius it would have a point less than the length of the... | |
 | 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... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 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... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...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... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...tangent to the circle. (See 145, 147.) Proposition X. Theorem 157. A straight line, which is tangent to a circle, is perpendicular to the radius drawn to the point of contact. Det.: To prove that angle EAO is a right angle. Proof: Since EA is tangent to the circle at A, this... | |
 | Morris Kline - Mathematics - 1964 - 513 pages
...often far removed from the axioms. For example, the proposition of Euclid asserting that a tangent of a circle is perpendicular to the radius drawn to the point of contact is hundreds of steps removed from the axioms on which it ultimately rests. Yet the theorem is as much... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
