 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...A straight line cannot intersect a circle in more than two points 0 PBOPOSITION IX. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact. Corollary I. A perpendicular to a tangent line drawn through the point of contact must pass through... | |
 | William Chauvenet - Geometry - 1887 - 336 pages
...A straight line cannot intersect a circle in more than two points. PROPOSITION IX. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact. Corollary I. A perpendicular to a tangent line drawn through the point of contact must pass through... | |
 | William Elwood Byerly - 1888 - 284 pages
...PA and P'B being infinitesimal arcs, are straight lines, and PAP 1 and P'BP are right angles, since the tangent to a circle is perpendicular to the radius drawn to the point of contact. F'P+PF=F'P'+P'F, by the definition of an ellipse. Take away from the first sum F'P + BF, and we have... | |
 | Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...i. One and only one tangent can drawn to a circle at a given point on the circumference. COR. 2. Any tangent to a circle is perpendicular to the radius drawn to the point of contact. COR. 3. The centre of a circle lies in the perpendicular to any tangent at the point of contact. For... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...is without the circle, and therefore MB is a tangent to the circle at A. ยง 213 QED 240. COR. 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. For, if MB is tangent to the circle at A, every point of MB, except A, is without the circle. Hence,... | |
 | Education - 1896 - 446 pages
...regular polygon consist when each of its angles contains 150 degrees? Explain. 5. Prove that a line tangent to a circle is perpendicular to the radius drawn to the point of contact. 6. Prove the area of a rectangle is equal to the product of its base by its altitude. How would you... | |
 | George Russell Briggs - 1890 - 170 pages
...There is a large class of geometrical theorems which concern the position of lines; for example, a tangent to a circle is perpendicular to the radius drawn to the point of tangency. Analytic Geometry enables us to apply algebra to this class of problems; and as we advance... | |
 | Thomas Baker - Railroads - 1891 - 262 pages
...circle are derived from geometry, and will be found useful in their application to railway curves. 1. A tangent to a circle is perpendicular to the radius drawn to the tangent point. Thus the tangent AC is perpendicular to the radius AM. 2. Two tangents drawn to a circle... | |
 | William Chauvenet - 1893 - 340 pages
...A straight line cannot intersect a circle in more than two points. PROPOSITION IX. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact. Corollary I. A perpendicular to a tangent line drawn through the point of contact must pass through... | |
 | American Mathematical Society - Mathematics - 1903 - 712 pages
...continuity is tacitly assumed and frequently applied in dealing with Jimiting cases. Thus the theorem that the tangent to a circle is perpendicular to the radius drawn to the point of contact (Proposition 44) is derived by considering the limiting value of the exterior angle of the isosceles... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
