 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...outside the circle. Therefore XY is tangent to the circle at P, by § 183. QED 185. COROLLARY 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. For OP is the shortest line from O to XY, and is therefore _L to XY (§ 86) ; that is, XY is _L to... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...VI. A line perpendicular to a radius at its extremity is tangent to the circle. 116. Corollary 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. 117. Corollary 2. A perpendicular to a tangent at its point of contact passes through the center of... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...is, no point of AB except E lies on the circle. Whence AB is a tangent. § 114 116. Corollary 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. [Note that we know that OE< OD. Then apply § 77.] 117. Corollary 2. A perpendicular to a tangent at... | |
 | Newfoundland Council of Higher Education - 1914 - 228 pages
...the angles are respectively acute, right, or obtuse. (20) 5 b. Prove that the tangent at any point of a circle is perpendicular to the radius drawn to the point of contact. PQR is a triangle. Describe a circle which shall touch PQ at Q, and shall iilso pass through R. (20)... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...in AB except C 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 O. Hence... | |
 | 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... | |
 | 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... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...in AB except C 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... | |
 | Clyde Elton Love - Calculus - 1916 - 380 pages
...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... | |
 | Clyde Elton Love - Calculus - 1916 - 390 pages
...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... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
