 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...coincidence of the two points which approach one another. PROPOSITION. Each angle contained by a tangent and a chord drawn from the point of contact is equal to the angle in the alternate segment of the circle. [III. 33. Let EBB'F be the secant of© ABB'D through B,B', and BD any other chd. through... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...intercepted arcs. PROP. II. An inscribed angle is measured by half of its intercepted arc. PROP. III. An angle formed by a tangent to a circle and a chord drawn to the point of contact is measured by half of the intercepted arc. PROP. IV. In any circle, angles... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...Circles, which have a common tangent at a point, touch each other. 7. Prove that the angle between a tangent to a circle and a chord drawn from the point of contact is half of the angle subtended at the centre by the chord. A straight line which cuts a circle is often... | |
 | Lawrence Robert Dicksee - Accounting - 1897 - 122 pages
...contact of the circles. Q. 9.—Prove that the angle between a tangent to a circle and a chord through the point of contact is equal to the angle in the alternate segment. Show how to cut off from a given circle a segment to contain an angle equal to a given angle. Q. 10.—Prove... | |
 | William James Milne - Geometry - 1899 - 326 pages
...of Z ABC, and, Ex. 198, ZD is sup. of Z ABC; hence, § 54, Z ABE = Z D. Ex. 202. The angle between a tangent to a circle and a chord drawn from the point of contact is half the angle at the center subtended by that chord. Data : The circle whose center is O ; AB tangent... | |
 | William James Milne - Geometry - 1899 - 396 pages
...QED 232. Cor. A right angle is measured by one half a semicircum. ference. Ex. 202. The angle between a tangent to a circle and a chord drawn from the point of contact is half the angle at the center subtended by that chord. Ex. 203. A line which is tangent to the inner... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...QED 232. Cor. A right angle is measured by one half a semicircumference. Ex. 202. The angle between a tangent to a circle and a chord drawn from the point of contact is half the angle at the center subtended by that chord. Ex. 203. A line which is tangent to the inner... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...straight line from the point to the centre of the circle bisects the angle between them. § 194. (9) The angle formed by a tangent to a circle and a chord through its point of contact equals half the angle at the centre, subtended by the intercepted arc... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...tangent and a chord is equal to the angle inscribed in the opposite segment. 15. The angle between a tangent to a circle and a chord drawn from the point of contact is half the angle at the center subtended by that chord. 16. The tangent at the vertex of an inscribed... | |
 | Geometry, Plane - 1911 - 192 pages
...radius. 7. The sides of a triangle are AB= 13, BC= 14, CA = 15. Find the projection of AB upon BC. 8. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. Explain what is meant by the expression " measured by " as used... | |
| |
THE angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment. 
