 | Webster Wells - Geometry - 1908 - 329 pages
...42° ; find the remaining angles of the triangle and the subtended arcs. PROP. XXII. THEOREM 196. The angle formed by a tangent and a chord is measured by one-half its interce2)ted arc. AB Draw a O. Draw tangent AC, touching the O at B, and chord BD making an acute... | |
 | 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 JB C.... | |
 | Geometry, Plane - 1911 - 192 pages
...circle, or in equal circles, the less of two chords is at the greater distance from the centre. 4. An angle formed by a tangent and a chord is measured by one-half its intercepted arc. 6. The diagonals AC and BD of the quadrilateral ABDC intersect at E. If AE:EC... | |
 | 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 THEOREM 29 An angle... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 two given straight linep.... | |
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An angle formed by a tangent and a chord is measured by one-half the intercepted arc. 
