 | Manchester univ - 1872 - 380 pàgines
...the outer circle. 8. Define a tangent. Show that the angle contained between a tangent and the chord from the point of contact is equal to the angle in the alternate segment of the circle. 9. Divide a given straight line into two parts, so that the squai'cs on the whole line... | |
 | Edward Atkins - 1874 - 426 pàgines
...angles are equal, they are right angles (I. def. 10). Proposition 32. — Theorem. The angles contained 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. Let EF be a tangent to the circle... | |
 | William Alexander Willock - 1875 - 196 pàgines
...circle, and is tlte tangent, as stateil. 16. The Angle between a Tangent to a circle and a Chord through the point of contact is equal to the angle in the alternate segment. Let AM be the tangent at A in the circle R, and AB the chord, making any angle, a, with AM, and also... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 pàgines
...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... | |
 | Edward Atkins - 1876 - 130 pàgines
...angles are equal, they are right angles (I. def. 10). Proposition 32. — Theorem. The angles contained 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. Let EF be a tangent to the circle... | |
 | Richard Wormell - 1876 - 268 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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.... | |
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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. 
