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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 ... - Σελίδα 310
των Charles Hutton - 1822
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 σελίδες
...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 - 1803 - 279 σελίδες
...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 - 1811
...(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...

A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...(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...chord, and D any angle in the alternate segment ADC ; A^ ~R then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEe....

A Course of Mathematics in Two Volumes for the Use of Academies, as ..., Τόμος 1

Charles Hutton - 1816
...(corol 4, th. 6; or carol. 2, th. 48). Therefore the angle a is a right angle. THEOREM THEOREM LJII. THE Angle formed by a Tangent to a Circle, and a Chord...Contact, is Equal to the Angle in the Alternate Segment. • H'AIJ be a tangent, and AC a chord, and * D any angle in the alternate segment ADC ; then will...

Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Τόμος 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 Tuition

Charles Hutton - 1818
...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...chord, and .D any angle in the alternate segment ADC ; tlien will the angle D be equal to the angle BAC made by the tangent and chord, of the arc AEC. For...

A Course of Mathematics for the Use of Academies: As Well as ..., Τόμος 1

Charles Hutton - 1825
...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...in the alternate segment ADC ; then will the angle o be equal to the anule •AC made by the tangent and chord, of the arc AEC. For the angle p. at the...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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 - 1827 - 208 σελίδες
...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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