 | George Roberts Perkins - Geometry - 1850 - 332 pages
...entire circumference, which is the measure of two right-angles. PROPOSITION VIII. If AB be a tangent, AC a chord, and D any angle in the alternate segment ADC; then will the angle D be equal to the angle B AC made by the tangent and the chord of the arc AFC. For the angle D at the circumference is measured... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...circumference, if both stand on the same base. 11. Any angle in a semicircle is a right angle. 12. The angle formed by a tangent to a circle, and a chord...contact, is equal to the angle in the alternate segment. 13. The sum of any two opposite angles of a quadrangle, inscribed in a circle, is equal to two right... | |
 | Euclides - 1860 - 288 pages
...adjacent angles are 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,... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...angle (cor. 4, th, 6; or cor. 2, th. 48). Therefore iliu angle 1) is a right angle. 384 THEOREM LUI. The angle formed by a tangent to a circle, and a chord drawn fftm the pat of contact, is equal to the angle in the alternate segment. If AB be a ¿angent, and AC... | |
 | William Grier - Mechanical engineering - 1861 - 316 pages
...angle C. 50. If ABC or ADC be a semicircle, then any angle D in that semicircle, is a right angle. 51. If AB be a tangent, and AC a chord, and D any angle...A.DC ; then will the angle D be equal to the angle BAG made by the tangent and chord of the arc AEG. 52. Let ABCD be any quadrilateral inscribed in a... | |
 | General Medical Council (Great Britain) - 1866 - 496 pages
...possess ? HIGHER MATHEMATICS. 1. 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... | |
 | Manchester univ - 1872 - 380 pages
...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 pages
...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 - Circle - 1875 - 196 pages
...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 - Geometry, Modern - 1876 - 66 pages
...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... | |
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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. 
