 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...Prop. 116. A line perpendicular to a radius at its extremity is a tangent to the circle. Prop. 117. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Prop. 120. The two tangents drawn to a circle from an exterior point are equal. Prop. 124. // two circles... | |
 | Harry Morton Keal, Clarence J. Leonard - Mathematics - 1921 - 238 pages
...center of the circle. (6) Bisects the chord. (c) Is perpendicular to the chord. (d) Bisects the arc. 6. A tangent to a circle is perpendicular to the radius drawn to the point of tangency (Fig. 92), and conversely. 7. Arcs included between parallel lines are equal. FIG. 92. CIRCLE... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...line which is perpendicular to a radius at its outer extremity is a tangent to the circle. THEOREM 69. A tangent to a circle is perpendicular to the radius drawn to the point of contact. > THEOREM 70. If two tangents meet at a point without a circle, the distances from the intersection... | |
 | Robert Remington Goff - 1922 - 136 pages
...right angles. 145. f. The shortest line from a point to a straight line is the perpendicular. 175. g. A tangent to a circle is perpendicular to the radius drawn to the point of tangency. 218. h. An angle inscribed in a semicircle is a right angle. Straight lines in proportion:... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...tangent to circle O, because point P is the only point on XY which is on the circle. 138. Corollary 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. Prove this corollary by showing that every other line drawn from the center to the tangent is longer... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...the 0, and hence XY is tangent to the O. § 144 147. Corollary. If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of contact. Since every point on XY except P is outside the 0, then OP is the shortest line segment from O to XY. Hence... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...EB is tangent to the circle. (See 145, 147.) Proposition X. Theorem 157. A straight line, which is tangent to a circle, is perpendicular to the radius drawn to the point of contact. Det.: To prove that angle EAO is a right angle. Proof: Since EA is tangent to the circle at A, this... | |
 | Sheet-metal work - 1926 - 536 pages
...or other curve is a straight line which touches it at only one point, as ED and AC, Fig. 35. Every tangent to a circle is perpendicular to the radius drawn to the point of tangency. Thus ED is perpendicular to FD and AC to F B. Fig S4.—A Quadrant. Fig. S5.— Tangents.... | |
 | Nels Johann Lennes, Archibald Shepard Merrill - Logarithms - 1928 - 300 pages
...83). (11) The area of a triangle is equal to one-half of the product of its base and altitude. (12) A tangent to a circle is perpendicular to the radius drawn to the point of tangency. (13) An angle inscribed in a circle is measured by one-half the intercepted arc. In solving... | |
 | Morris Kline - Mathematics - 1964 - 513 pages
...often far removed from the axioms. For example, the proposition of Euclid asserting that a tangent of a circle is perpendicular to the radius drawn to the point of contact is hundreds of steps removed from the axioms on which it ultimately rests. Yet the theorem is as much... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
