 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...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... | |
 | James Maurice Wilson - 1878 - 450 pages
...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... | |
 | Michael McDermott - Civil engineering - 1879 - 552 pages
...< С О В. 85. By Euclid III. 32, the angle contained by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment of the circle; ie, in fig. 9, the <TBC = <BOC = i < С А В. This theorem is much used in railway... | |
 | George Shoobridge Carr - Mathematics - 1880
...under either of those sides, and the projection of the other upon it ; or аа = ЬЧс'-2ЬссоаЛ (702). BOOK III. III. 3. — If a diameter of a circle...segment. III. 33 and 34. — To describe or to cut off a segment of a circle which shall contain a given angle. III. 35 and 36. — The rectangle of the... | |
 | Mathematical association - 1883 - 86 pages
...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 - Geometry - 1884 - 242 pages
...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 - 604 pages
...and the amount of the 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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...points which approach one another. PROPOSITION. 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. [III. 33. Let EBB'F be the secant of© ABB'D through B,B', and BD any other chd. through... | |
 | Lawrence Robert Dicksee - Accounting - 1897 - 122 pages
...contact of the circles. Q. 9.—Prove that 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. Show how to cut off from a given circle a segment to contain an angle equal to a given angle. Q. 10.—Prove... | |
 | Sir Thomas Little Heath - Mathematics - 1921 - 482 pages
...semicircle or less than a semicircle. 32 proves that thr angle made by a tangent with a chord through the point of contact is equal to the angle in the alternate segment. 33, 34 are problems of constructing or cutting off a segment containing a given angle, and 25 constructs... | |
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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. 
