| Webster Wells - Geometry - 1899 - 424 pages
...without the O, and AB is tangent to the O. (§ 149) PROP. XV. THEOREM. 170. (Converse of Prop. XIV.) **A tangent to a circle is perpendicular to the radius drawn to the point of contact.** A. CB Given line AB tangent to O EC at C, and radius OC. To Prove OC±AB. (OC is the shortest line... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...AB, except D, is without theO. . , . AB is a tangent to the O. (?) QED Proposition 112. Theorem. 145. **A tangent to a circle is perpendicular to the radius drawn to the point of contact.** HINT. Prove that the radius is the shortest line that can be drawn from the centre to the tangent.... | |
| Harvard University - Geometry - 1899 - 39 pages
...centre, that is the greater whose distance from the centre is the less. THEOREM X. A straight line **tangent to a circle is perpendicular to the radius drawn to the point of contact.** Corollary. A perpendicular to a tangent at the point of contact passes through the centre of the circle.... | |
| International Correspondence Schools - Civil engineering - 1899 - 812 pages
...geometry relating to the circle must be mastered. The following propositions are of special importance: **1. A tangent to a circle is perpendicular to the radius drawn** through its tangent point. Thus, AE, Fig. 279, is perpendicular to BO, and CE is perpendicular to C... | |
| International Correspondence Schools - Civil engineering - 1899 - 798 pages
...geometry relating to the circle must be mastered. The following propositions are of special importance : **1. A tangent to a circle is perpendicular to the radius drawn** through its tangent point. Thus, AE, Fig. 279, is perpendicular to BO, and CE is perpendicular to C... | |
| 1900 - 728 pages
...geometry relating to the circle must be mastered. The following propositions are of special importance: **1. A tangent to a circle is perpendicular to the radius drawn** through its tangent point. Thus, AE, Fig. 231, is perpendicular to BO, and CE is perpendicular to CO.... | |
| International Correspondence Schools - Coal mines and mining - 1900 - 720 pages
...geometry relating to the circle must be mastered. The following propositions are of special importance: **1. A tangent to a circle is perpendicular to the radius drawn** through its tangent point. Thus, AE, Fig. 231, is perpendicular to BO, and CE is perpendicular to CO.... | |
| Metal-work - 1901 - 548 pages
...the point B. The point B where the tangent touches the circle is called the point of contact. FIG. 9. **A tangent to a circle is perpendicular to the radius drawn to the point of contact.** Thus, if O is the center of the circle in Fig. 9, the tangent AC is perpendicular to the radius O B.... | |
| Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...the point there can be drawn one and only one perpendicular to this diameter. 189. COROLLARY II. Any **tangent to a circle is perpendicular to the radius drawn to the point of contact.** For, if not, it must cut the circle at a second point. 190. COROLLARY III. The centre of a circle lies... | |
| Alan Sanders - Geometry, Modern - 1901 - 260 pages
...perpendicular to a radius at its outer extremity it is tangent to the circle at that point; and conversely, **a tangent to a circle is perpendicular to the radius drawn to the point of** tangency. Let AB be _L to the radius CD at D. To Prove AB tangent to the circle. Proof. Connect C with... | |
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