 | Charles Davies - Geometry - 1870 - 392 pages
...DAB by half the arc BD (Th. viii) : the two arcs AC and BD are themselves equal. hence THEOREM XIV. The angle formed by a tangent and a chord, is measured by half the arc of the chord. Let BAE be tangent to the circle at the point A, and А С any chord. From A, the... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...All angles inscribed in the same arc are equal, for they have the same measure. 76 226. Theorem — The angle formed by a tangent and a chord is measured by half the intercepted arc. The angle CEI, formed by the tangent AC and the chord EI, is measured by half the intercepted arc IDE.... | |
 | Wisconsin. Department of Public Instruction - Education - 1873 - 458 pages
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem. — The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained?... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...AF parallel to DC ; then will the arc FD be equal to the arc AC (Theo. VIII.), and the angle DB FAB equal to the angle DEB (Theo. XVII. Bk. I.). But the...the tangent BE form, with the chord AC, the angle B AC; then BAC is measured by half the arc A MC. From A, the point of contact, draw the diameter A... | |
 | Wisconsin - Wisconsin - 1874 - 1050 pages
...— Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.— The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained?... | |
 | Benjamin Greenleaf - Geometry - 1875 - 204 pages
...its equal angle AE C, is measured by half the sum of the intercepted arcs DB and A C. THEOREM XII. B 166. The angle formed by a tangent and a chord is...the tangent BE form, with the chord AC, the angle BAG; then BAC is measured by half the wcAMC. From A, the point of contact, draw the diameter A D. The... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...by half the circumference; hence their sum is equal to two right angles. PROPOSITION XVI. THEOREM. The angle formed by a tangent and a chord is measured by half the arc included between its sides. Let the straight line BE touch the circumference ACDF in the point... | |
 | Elias Loomis - Conic sections - 1880 - 452 pages
...by half the circumference; hence their sum is equal to two right angles. PROPOSITION XVI. THEOREM. The angle formed by a tangent and a chord is measured by half tlie arc included between its sides. Let the straight line BE touch the circumference ACDF in the point... | |
 | George Bruce Halsted - Measurement - 1881 - 258 pages
...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, intersecting within a circle,... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...COR. 4. — Any angle inscribed in a segment greater than a semicircle is acute. THEOREM XV. 211. Any angle formed by a tangent and a chord is measured by half the intercepted arc. Let the Z. ABD be formed by the tangent CD and the chord AB. To prom that Z. ABD is measured by J arc AEB.... | |
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The angle formed by a tangent and a chord is measured by half the intercepted arc. 
