 | George Albert Wentworth - Geometry - 1877 - 416 pages
...perpendicular to the diameter drawn thIoiigh U MEASUREMENT OF ANGLES. PROPOSITION XVI. THEOREM. 209. An angle formed by a tangent and a chord is measured by one_half the intercepted arc. H M_O Let HAM be the angle formed by the tangent OM and chord AH. We... | |
 | George Albert Wentworth - 1881 - 266 pages
...perpendicular to the diameter drawn through the point. MEASUREMENT OF ANGLES. PROPOSITION XVI. THEOREM. 209. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. H M-0 Let HAM be the angle formed by the tangent OM and chord AH. We are to prove... | |
 | George Bruce Halsted - Measurement - 1881 - 258 pages
...An inscribed angle is measured -by. half its intercepted arc. Ww^ 2Q3 . (E^ nL 2Q . Cv^ IL 57^ 26, An angle formed by a tangent and a chord is measured by half the intercepted arc. Ww. 209 ; (En. III. 32 ; Cv. II. 62). 27, An angle formed by two chords,... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...Why does EB = AD? 6. Why does a = c? 7. What axioms are involved in the three cases ? THEOREM XXI. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. Let CD be a tangent and AE a chord; then will CAE = \ AE. For, draw the secant... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...perpendicular to each other, it is also symmetrical with respect to the intersection of these axes. 2. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. 3. To bisect a given arc or angle. 4. (a) If a perpendicular be drawn from the... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...its intercepted arc. Corollary. An angle inscribed in a semicircle is a right angle. PROPOSITION XV. An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. PROPOSITION XVI. An angle formed by two chords intersecting within the circumference... | |
 | Rutgers University. College of Agriculture - 1887 - 222 pages
...•8. How many grains will three decimeters cubed, of water, weigh ? Geometry. (Time, one hour.) 1. An angle formed by a tangent and a chord is measured by oneihalf the intercepted arc. 2. Like powers, or like roots, of the terms of a proportion are in proportion.... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...hypotenuse of a rt. A, to the vertex of the rt. Z, bisects the right angle. PROPOSITION XIX. THEOREM. 269. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. Let MAH be the angle formed by the tangent MO and chord AH. To prove Z MAH is... | |
 | Oregon. Office of Superintendent of Public Instruction - Education - 1891 - 332 pages
...Projection of a point on a plane. (2) Dihedral angle. 4. Define (li A Polyhedron, (2) Parallelepiped. 7. An angle formed by a tangent and a chord is measured by one-half the interc/'p'ed arc. .". Theorem—The exterior aneles of a polygon, made by producing each of its... | |
 | William Chauvenet - 1893 - 340 pages
...its intercepted arc. Corollary. An angle inscribed in a semicircle is a right angle. PROPOSITION XV. An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. PROPOSITION XVI. An angle formed by two chords intersecting within the circumference... | |
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An angle formed by a tangent and a chord is measured by one-half its intercepted arc. 
