 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...half a semi-circumference (Prop. IV. Cor. 3.). BOOK III. PROPOSITION XV. THEOREM. The angle formed by a tangent, and a chord drawn from the point of contact, is equal to an angle in the alternate segment of the circle ; that is, to an inscribed angle subtended... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...equal, they are right angles. PROPOSITION XXXII. THKOREM. 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 circleLet EF be a tangent to the circle ABCD, and from the point of... | |
 | Euclides - 1860 - 288 pages
...equal, they are right angles. PROPOSITION XXXII. 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. Given EF a tangent to the circle ABCD, and BD a chord drawn... | |
 | John Mulcahy - Geometry - 1862 - 252 pages
...quadrilateral inscribed in a circle are supplemental. From this we infer, in a similar manner, that the angle made by a tangent and a chord drawn from the point of contact equals the angle in the alternate segment. (Lardner's Euclid, B. iii. Prop. 32). These examples are... | |
 | General Medical Council (Great Britain) - 1866 - 496 pages
...Inscribe a circle in a given sector of a circle. 2. 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. 3. To describe a square that shall bo equal to a given rectilineal... | |
 | Edward Atkins - 1874 - 426 pages
...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 ABCD, and BD a chord drawn... | |
 | Edward Atkins - 1876 - 130 pages
...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 ABCD, and BD a cherd drawn... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...several converses 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... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...measured by 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... | |
 | James Maurice Wilson - 1878 - 450 pages
...converses of 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... | |
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An angle formed by a tangent and a chord drawn from the point of contact is measured by half the intercepted arc. 
