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A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Plane Geometry - Page 105
by Webster Wells, Walter Wilson Hart - 1915 - 309 pages

The Essentials of Geometry

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...

The Elements of Plane Geometry

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....

Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

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...

The Elements of Civil Engineering: Prepared for Students of the ..., Volume 3

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...

A Textbook on Mining Engineering, Volume 1

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....

A Treatise on Coal Mining: Prepared for Students of the International ...

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....

A Textbook on Sheet-metal Pattern Drafting, Volume 1

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....