 | Richard Wormell - 1876 - 268 σελίδες
...Therefore, С A is perpendicular to D A. THEOREM XXXVII. The angle contained by a tangent and a chord from the point of contact is equal to the angle in the opposite segment. Let AD be the tangent, and А С the chord ; let AB be the diameter through A, and... | |
 | James Maurice Wilson - 1878 - 450 σελίδες
...these statements follow by the Rule of Conversion. THEOREM 19. . Each angle contained by a tangent and a chord drawn from the point of contact is equal to the angle in the alternate segment of the circle*. Part. En. Let DBC be a tangent to the circle A at the point B, and let BE be a line... | |
 | Thomas Hunter - 1878 - 142 σελίδες
...half the difference of the arcs AC and EF. PROPOSITION XV.—THEOREM. The angle formed by a tangent and a chord drawn from the point of contact is equal to the angle inscribed in the alternate segment of the circle. Let AB be a tangent and EC a chord, forming the angle... | |
 | Michael McDermott - 1879 - 540 σελίδες
...CL B. 84. By Euclid III. 26, the < BCL = < BLC = < C 0 B. 85. By Euclid III. 32, the angle contained by a tangent to a circle, and a chord drawn from the...contact, is equal to the angle in the alternate segment of the circle ; ie, in fig. 9, the < TBC = < B 0 C = £ < CA B. This theorem is much used in railway... | |
 | George Shoobridge Carr - 1880
...— The angle in a semicircle is a right angle. III. 32. — The angle between a tangent and a chord from the point of contact is equal to the angle in the alternate segment. III. 33 and 34. — To describe or to cut off a segment of a circle which shall contain a given angle.... | |
 | John Carroll (art master.) - 1881 - 100 σελίδες
...FiJI37 LESSON XXII. — IRREGULAR FIGURES INSCRIBED IN AND DESCRIBED ABOUT THE CIRCLE. " The angles made by a tangent to a circle and a chord drawn from the point of contact are equal to the angles in the alternate segments of the circle." — Eudid iii. 32. Problem 138. —... | |
 | Mathematical association - 1883 - 86 σελίδες
...of these statements follow by the Rule of Conversion. THEOR. 19. Each angle contained by a tangent and a chord drawn from the point of contact is equal to the angle in the alternate segment of the circle. [Euclid's proof.] THEOR. 20. Two tangents and two only can be drawn to a circle from... | |
 | Evan Wilhelm Evans - 1884 - 170 σελίδες
...whole angle CBF is measured by half the whole arc BDF. THEOREM XXXVI. Each angle contained by a tangent and a chord drawn from the point of contact is equal to the angle in the alternate segment. How is APD measured ? How ANP? What is the inference ? Prove that APC is equal to ASP. Cor.—Prove... | |
 | 1885 - 608 σελίδες
...debt. I. [13] GEOMETRY. Time, 1 hr. 30 m. 1. Prove that the angle contained by a tangent and a chord from the point of contact is equal to the angle in the opposition segment. 2. On a given straight line, describe a segement the inscribed angle of which shall... | |
 | George Shoobridge Carr - 1886 - 1036 σελίδες
...— The angle in a semicircle is a right angle. III. 32. — The angle between a tangent and a chord from the point of contact is equal to the angle in the alternate segment. III. 33 and 34. — To describe or to cut «ff a segment of a circle which shall contain a given angle.... | |
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THE angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment. 
