| Euclid - 1789 - 272 sider
...three equal 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 - 1803 - 279 sider
...into three 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...of contact, is equal to the angle in the alternate** fegment. Let BC be a tangent to the circle AFDE, and AB a chord drawn from the point of contaft ; then... | |
| Charles Hutton - 1811
...4, th. 6 ; or corol. 2, th. 48). Therefore the angle D is a right angle. THEOREM THEOREM LIII. The **Angle formed by a Tangent to a Circle, and a Chord drawn from the Point of Contact,** ia Equal to the Angle . in the Alternate Segment. IF AB be a tangent, and AC a chord, and D any angle... | |
| Encyclopaedia Perthensis - 1816
...tothe three anpk-s BDC, DBC and DCB, that is to two *-ipht angles. (Th-. ta ) THEOR. XXIV. fa. 50. The **angle formed by a tangent to a circle, and a chord drawn** to the point of contatt, is equal to the angle in the alternate fegment of the circle Let AB be a tangent,... | |
| Charles Hutton - 1822
...6 ; or 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...in the alternate segment ADC ; then will the angle** D be equal to the angle BAG made by the tangent and chord, of the arc AEC. For the angle D, at the... | |
| George Lees - 1826 - 207 sider
...therefore, AD touches the circlee : and because the angle which the chord makes with the tangent at **the point of contact, is equal to the angle in the alternate segment** of the circlef ; therefore, the angle BAD is equal to the angle in the alternate segment AHB ; but... | |
| John Radford Young - 1827 - 208 sider
...include the same portion of the circumference. PROPOSITION XV. THEOREM. a 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 by the arc... | |
| William Grier - 1832
...or ADC be a semicircle ; then any angle D in that semicircle, is a right angle. — (Fig. 45.) 51. **If AB be a tangent, and AC a chord, and D any angle...in the alternate segment ADC ; then will the angle** D be equal to the angle BAC made by the tangent and chord of the arc AEC — (Fig. 46.) then shall... | |
| William Grier - 1836 - 344 sider
...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...in the alternate segment ADC ; then will the angle** D be equal to the angle BAC made by the tangent and chord of the arc AEC. 52. Let ABCD be any quadrilateral... | |
| Andrew Bell - 1837 - 240 sider
...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,... | |
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