...measured by half of a semicircumference (?) (249). ... each is a rt. Z (?) (247). QED 252. THEOREM. The angle formed by a tangent and a chord is measured by half the intercepted arc. Given : Tangent TN ; chord PA ; Z TPA ; arc PA. To Prove : Z TPA is measured by ^...

...of 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...

...of 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 intercepted arc. . B Draw a O. Draw tangent AC, touching the O at B, and chord BD making...

...of 42° ; rind 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 intercepted arc. . B Draw a O. Draw tangent AC, touching the G at B, and chord BD making...

...264 THEOREM LXIX 262. An inscribed angle is measured by one half its intercepted 270 THEOREM LXX 263. The angle formed by a tangent and a chord is measured by one half the intercepted arc 271 THEOREM LXXI 264. The angle formed by two intersecting chords is measured...

...sides and the middle points of the two diagonals are the vertices of a parallelogram. 2. Prove that the angle formed by a tangent and a chord is measured by one-half the intercepted arc. Two circles intersect at A and B. The two tangents at A are drawn, cutting...

...water as the principle of all things. THALES BOOK II. PLANE GEOMETRY PROPOSITION XXV. THEOREM 241. The angle formed by a tangent and a chord is measured by half the intercepted arc. Given: OO, tangent TN; chord AP; Z TPA ; arc PA. To Prove : Z TPA is measured by J...