 | 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... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...(corol. 4, th. 6 ; or 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...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... | |
 | 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 - Arithmetic - 1818 - 646 pages
...Angle. B Therefore tho THEOREM AB THEOKEM IJIL THE Angle formed by a Tangent to a Circle, and a Cher! 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 ; tlien... | |
 | 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...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... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...4, th. 6 ; or corol. 2, th. ^8), Therefore the angle o is a right angle. THEOREM THEOREM L1II. TUB Angle formed by a Tangent to a Circle, and a Chord...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... | |
 | 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... | |
 | 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 ||... | |
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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. 
