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" A tangent to a circle is perpendicular to the radius drawn to the point of contact. "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 60
by Nathan Scholfield - 1845
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Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...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 to...
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Junior High School Mathematics ...

Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...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...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...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...
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Mathematics in Western Culture

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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The Harvard University Catalogue

Harvard University - 1874 - 378 pages
...two sides of a triangle proportionally is parallel to the third side. 7. Prove that a tangent to a circle is perpendicular to the radius drawn to the point of contact. 8. Prove that parallel chords intercept upon the circumference equal arcs. ANCIENT HISTORY AND GEOGRAPHY....
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Great Moments in Mathematics (before 1650)

Howard Whitley Eves - History - 1983 - 292 pages
...equal to a straight angle, (3) the base angles of an isosceles triangle are equal, (4) a tangent to a circle is perpendicular to the radius drawn to the point of contact, establish the following chain of theorems: (a) An exterior angle of a triangle is equal to the sum...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - Mathematics - 1997 - 370 pages
...equal to a straight angle, (3) The base angles of an isosceles triangle are equal, (4) A tangent to a circle is perpendicular to the radius drawn to the point of contact, establish the following chain of theorems: (a) An exterior angle of a triangle is equal to the sum...
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Lexicon of Musical Invective: Critical Assaults On Composers Since ...

Nicolas Slonimsky - Biography & Autobiography - 2000 - 348 pages
...is all done, one feels that Schoenberg reached some such conclusion as 'a straight line tangent to a circle is perpendicular to the radius drawn to the point of contact." Schoenberg's music is huge labor to demonstrate a simple enough theorem, namely, that if you employ...
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Excel Revise HSC Maths Extension 1 in a Month

Lyn Baker - Juvenile Nonfiction - 2002 - 154 pages
...at the centre is twice the angle at the circumference subtended by the same arc • the tangent to a circle is perpendicular to the radius drawn to the point of contact '$• TIP! The converse is the opposite. The converse is not necessarily true for any given statement....
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Key Maths GCSE: CCEA Higher

Mathematics - 2001 - 588 pages
...touches a circle at exactly one point. This point is called the point of contact. The tangent to a circle is perpendicular to the radius drawn to the point of contact. The line from the centre of a circle to the midpoint of a chord is perpendicular to the chord. There...
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