| 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 - 424 pages
...from 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... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...XY is 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 0 to XY, and is therefore _L to XY (§ 86); that is, XY is _L to OP.... | |
| George William Myers - Mathematics - 1910 - 304 pages
...circumference, is called the point of tangency, or the point of contact. PROPOSITION XXX 101. Theorem: **A tangent to a circle is perpendicular to the radius drawn to the point of contact;** and conversely, a line drawn perpendicular to a radius at its outer end is a tangent to the circle.... | |
| Geometry, Plane - 1911 - 192 pages
...of the non-parallel sides of a trapezoid is parallel to the bases, and equal to half their sum. 3. **A tangent to a circle is perpendicular to the radius drawn to the point of contact.** 4. If any two chords be drawn through a fixed point within a circle the product of the segments of... | |
| John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...these circles at A. Then by definition the spherical angle is measured by the angle TAS. But since **a tangent to a circle is perpendicular to the radius drawn to the point of contact,** AT and AS are perpendicular to OA, and hence TAS is the measure of the diedral angle T-OA-S or B-OA-C.... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...0). 3. Find the equation of the normal to each of the circles of Ex. 2, through the given point 4. **A tangent to a circle is perpendicular to the radius drawn to** its point of contact. By means of this fact, derive the equation of the tangent to the circle (x —... | |
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