 | George Albert Wentworth - Geometry - 1904 - 496 pages
...is without the circle, and therefore MB is a tangent to the circle at A. § 220 QED 254. COR. 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. For OA is the shortest line from O to MB, and is therefore -L to MB (§ 98) ; that is, MB is -L to... | |
 | William Chauvenet - 1905 - 336 pages
...A straight line cannot intersect a circle in more than two points. PROPOSITION IX. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact. Corollary I. A perpendicular to a tangent line drawn through the point of contact must pass through... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...center; and of two unequal chords, the shorter is farther from the center. 49. Converse of 48. 50. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Cor. At a given point on a circle one and only one tangent can be drawn. 51. Converse of 50. 52. Parallel... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
....-. EK is greater than EH. § 180 .-. EG is greater than EF. Ax. 8 QED PROPOSITION VI. THEOREM 251 A tangent to a circle is perpendicular to the radius drawn to the point of contact. HYPOTHESIS. TT' is a tangent to the circle 0 at P. CONCLUSION. TT' is J. to the radius OP. PROOF Every... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
....-. EK is greater than EH. § 180 .-. EG is greater than EF. Ax. 8 QED PROPOSITION VI. THEOREM 251 A tangent to a circle is perpendicular to the radius drawn to the point of contact. HYPOTHESIS. TT' is a tangent to the circle 0 at P. CONCLUSION. XT' is _L to the radius OP. PROOF Every... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...perpendicular to a tangent at the point of tangency passes through the center of the circle. 148. A tangent to a circle is perpendicular to the radius drawn to the point of tangency. I "149. . If two circles intersect, the line joining their centers bisects at right angles... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...without the O, and AB is tangent to the O. (§ 150) PROP. XIV. THEOREM 170. (Converse of Prop. XIII.) A tangent to a circle is perpendicular to the radius drawn to the point of contact. A (JB Draw O with centre at O. Draw line AB tangent to the O at C. Draw line OC. We then have : Given... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...without the O, and AB is tangent to the O. (§ 150) PROP. XIV. THEOREM 170. (Converse of Prop. XIII.) A tangent to a circle is perpendicular to the radius drawn to the point of contact. A a B Draw 0 with centre at 0. Draw line AB tangent to the 0 at C Draw line OC. We then have : Given... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...equal. 169 Tangency. DEFINITIONS AND FIRST PRINCIPLES - 172 THEOREM 46. The tangent at any point of a circle is perpendicular to the radius drawn to the point of contact.' 174 COR. 1. One and only one tangent can be drawn to a circle at a given point on the circumference.... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...the center of a circle — that is, a line through a point within a circle — is a secant. (4) *A tangent to a circle is perpendicular to the radius drawn to the point of contact. Follows from (2). (5) *The perpendicular to a tangent at the point of contact passes through the center... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
