| John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...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 drawn from the point of contaft ; then... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...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 in the alternate segment ADC ; A^ ~R then will... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...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 in the alternate segment ADC ; then will the angle... | |
| 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... | |
| Scottish school-book assoc - 1845 - 444 pages
...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
...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 the alternate segment ADC ; then will the angle... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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 in the alternate segment ADC, then will the angle... | |
| Manchester univ - 1872 - 380 pages
...segment of 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... | |
| 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... | |
| Richard Wormell - 1876 - 268 pages
...the circumference. Therefore, С A is perpendicular to D A. THEOREM XXXVII. The angle contained by a tangent and a chord from the point of contact is equal to the angle in the opposite segment. Let AD be the tangent, and А С the chord ; let AB be the diameter through A, and... | |
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