 | Webster Wells - Geometry - 1899 - 450 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. ACS Given line AB tangent to O EC at C, and radius O0. To Prove OC±AB. (OC is the shortest line that... | |
 | 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 - 814 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.... | |
 | 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... | |
 | 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... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
