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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.
A Course of Mathematics: For the Use of Academies as Well as Private Tuition - Page 312
by Charles Hutton - 1812

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

Euclid - Euclid's Elements - 1789 - 272 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,...

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

John Bonnycastle - Euclid's Elements - 1803 - 279 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...

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

Charles Hutton - Mathematics - 1811
...measure of a right angle (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...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; or, Universal dictionary of Knowledge ..., Volume 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,...

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

Charles Hutton - Mathematics - 1822
...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...chord, and D any angle 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...

## Elements of arithmetic, algebra and geometry

George Lees - Algebra - 1826 - 207 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...

## Elements of Geometry: With Notes

John Radford Young - Geometry, Plane - 1827 - 208 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...

## 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 —...