| Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...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 - 431 pages
...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... | |
| Webster Wells - Geometry, Plane - 1908 - 206 pages
...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.... | |
| Webster Wells - Geometry - 1908 - 336 pages
...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... | |
| George William Myers - Mathematics - 1910 - 304 pages
...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.... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...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.... | |
| John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...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.... | |
| Geometry, Plane - 1911 - 192 pages
...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... | |
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