 | Euclid - Euclid's Elements - 1789 - 296 pages
...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 - Euclid's Elements - 1803 - 470 pages
...divided 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 - Mathematics - 1811 - 406 pages
...(corol. 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 - 772 pages
...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 - Mathematics - 1822 - 616 pages
...th. 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...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 circumference, is measured... | |
 | George Lees - 1826 - 276 pages
...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 - Euclid's Elements - 1827 - 228 pages
...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... | |
 | 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,... | |
 | Scottish school-book assoc - 1845 - 444 pages
...contact. PLANE GEOMETRY. PROPOSITION LV — THEOREM. The angle ABD, formed by a tangent AB, and a chord DB drawn from the point of contact, is equal to the angle in the alternate segment BED, and is measured by half the intercepted arc BD. For (figure last Prop.), let DE be || to AB, then... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...by half the entire circumference, which is the measure of two right angles. PROPOSITION IX. THEOEEM. The angle formed by a tangent to a circle, and a chord...angle in the alternate segment. 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... | |
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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. 
