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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. "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Página 31
por John Bonnycastle - 1803 - 279 páginas
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 páginas
...(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...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 páginas
...(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...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volumen10

Encyclopaedia Perthensis - 1816 - 772 páginas
...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: In Two Volumes. For the Use of Academies ..., Volumen1

Charles Hutton - 1818 - 646 páginas
...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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 páginas
...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...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volumen1

Charles Hutton - 1825 - 608 páginas
...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...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 páginas
...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...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 páginas
...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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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 páginas
...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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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 páginas
...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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