 | Euclid - Euclid's Elements - 1789 - 296 pages
...parts, by any known method, which is purely geometrical. PROP. _J PROP. XXIV. THEOREM. The angle formed by a tangent to a circle and a chord drawn from the point of contacTr, is equal to the angle in the alterr nate fegment. Let EC be a tangent to the circle AFDE,... | |
 | John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...equal parts, by any known method, which is purely geometrical. PROP. XXIV. THEOREM. 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 fegment. Let BC be a tangent to the circle AFDE, and AB a chord... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...corol. 2, th. 48\ angle D is a right angle. B Therefore the THEOREM THEOREM LIII. 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. If AB be a tangent, and AC a chord, and D any angle... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...eorol. 2, th. 48), ;iogle ii it a right angle. B Therefore the THEOREM 312 THEOREM Lin. 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. If AB be a tangent, and AC a chord, and D any angle... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...adjacent angles are 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... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...,, , . , . L ^a semi-circumference, which is the measure of 2 RA IT'S. The angles made by a tangent and a chord, drawn from the point of contact, are equal to the angles inscribed in the alternate segments of the circle, (fig. 106.) Angle DCB = CED and angle ACD... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...circumference, which is the measure of two right angles. PROPOSITION IX. THEOEEM. 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. If AB be a tangent, AC a chord, and D any angle in... | |
 | 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, and BD a chord... | |
 | 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 bo equal to a given... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...(Cor. 4, th. 6 ; or Cor. 2, th. 8). Therefore the angle D is a right angle. THEOREM 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. If AB be a tangent, and AC a chord, and D any angle... | |
| |
An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. 
