 | George William Myers - Mathematics - 1910 - 304 pages
...is it measured? Give complete proof. In similar manner show by what arc ZDBA is measured. 8. Prove: An angle formed by a tangent and a chord, is measured by one-half the arc included by its sides. FIG. 163 FIG. 164 Suggestion: Prove by Fig. 165 ZABC is measured by... | |
 | Geometry, Plane - 1911 - 192 pages
...a point D of AB a third line making with BC the same angle which AB makes with BC. * 2. Prove that an angle formed by a tangent and a chord is measured by one-half the intercepted arc. What is meant here by the statement that an angle is " measured by " half an arc?... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...Demonstrate Case I, by connecting one extremity of the intercepted arc with the center. Ill THEOREM 28 An angle formed by a tangent and a chord, is measured by one-half the intercepted arc. If the chord is not a diameter, draw a diameter from the point of tangency. Ill... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...BETWEEN ANGLES FORMED BY TANGENTS AND CHORDS, AND THEIR ARCS MEASUREMENT OF THE ANGLE 170. THEOREM 81. An angle formed by a tangent and a chord is measured by one-half its intercepted arc. Hypothesis: AB is tangent to QO at A and AC is drawn from A , the point of contact of the tangent.... | |
 | Education - 1898 - 634 pages
...circle the greater of two arc* it subtended by the greater chord. 8. What is a corollary? 7. Prove that an angle formed by a tangent and a chord is measured by one-half it» intercepted arc. 8. Problem: to bisect a giren angle. 9. Show that if any two chords are drawn... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...of the intercepted arcs. THEOREM 80. Parallel chords intercept equal arcs on a circle. THEOREM 81. An angle formed by a tangent and a chord is measured by one-half its intercepted arc. THEOREM 82. If a chord and a tangent are parallel, they cut off equal arcs. THEOREM 84. An angle formed... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...may be inscribed in a circle. 2. An inscribed angle is measured by one half the intercepted arc. 3. An angle formed by a tangent and a chord is measured by one half the intercepted arc. 4. By construction. 5. Things equal to the same thing are equal to each... | |
 | Raymond Earl Davis, Francis Seeley Foote, William Horace Rayner - Surveying - 1928 - 1068 pages
...at the center 0, subtended by the same arc AB; and the angles at the points C and C' are equal. 2. An angle formed by a tangent and a chord is measured by onehalf its intercepted arc. Thus in Fig. 383, the angle at the point A between AD, the tangent to the curve at that point, and... | |
 | Education - 1893 - 650 pages
...that the sum of the three angles of any triangle is equal to two right angles. 5. Demonstrate that any angle formed by a tangent and a chord is measured by one-half the intercepted arc. 6. Inscribe a circle in a given triangle. 7. Find a mean proportional between... | |
 | 1889 - 1032 pages
...pyramid, (2) Fiustrum of a pyramid. f-. Problem : To divide a given straight line into equal parts. 7. An angle formed by a tangent and a chord is measured by one-half the interccp'ed arc. H. Theorem— The exterior angles of a polygon, made by producing each of its... | |
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An angle formed by a tangent and a chord is measured by one-half its intercepted arc. 
