| 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... | |
| 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.... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...253. A straight line perpendicular to a radius at its extremity is a tangent to the circle. 254. A tangent to a circle is perpendicular to the radius drawn to the point of contact. 261. The tangents to a circle drawn from an external point are equal, and make equal angles with the... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 276 pages
...is without the circle, and therefore MB is a tangent to the circle at A. § 220 QED 254. COR. 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. For OA is the shortest line from O to MB, and is therefore _L to MB (§ 98) ; that is, MB is _L to... | |
| Metal-work - 1901 - 548 pages
...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 - 460 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... | |
| Edward Brooks - Geometry, Modern - 1901 - 278 pages
...tangent to the circle at the point D. Def. 8. Therefore, etc. COR. 1. — CONVERSELY : A tangent to the circle is perpendicular to the radius drawn to the point of contact. For any line, as CE, is greater than CF or its equal CD. Hence CD, being the shortest line from C to... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...253. A straight line perpendicular to a radius at its extremity is a tangent to the circle. 254. A tangent to a circle is perpendicular to the radius drawn to the point of contact. 261. The tangents to a circle drawn from an external point are equal, and make equal angles with the... | |
| Alan Sanders - Geometry - 1903 - 392 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 tan^ency. 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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