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Bøker Bok 110 av 73The angle formed by a tangent to a circle, and a chord drawn from the point of contact,...
" 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. "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 312
av Charles Hutton - 1825
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

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,...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

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...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

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...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volum 10

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,...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

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...
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Elements of arithmetic, algebra and geometry

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...
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Elements of Geometry: With Notes

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...
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The mechanic's calculator, or Workman's memorial book

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...
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

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...
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Elements of Plane Geometry According to Euclid

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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