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" Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Page 297
by Charles Hutton - 1811
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1812
...from the point c to the line AB,ond consequently (th. 2 1) it is perpendicular to that line. Carol. Hence, conversely, a line drawn perpendicular to a...• THEOREM XLVIII. THE Angle formed by a Tangent ami Chord is Measured by Half the Arc of that Chord. Let AB be a tangent to a circle, and CD a chord...
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A Course of Mathematics: In Two Volumes : for the Use of Academies, as Well ...

Charles Hutton - Mathematics - 1816
...from the point c to the line AB, and consequently (th. 21) it is perpendicular to that line. Carol Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes thtough the centre of the circle. THEOREM XLVIII. THE Angle formed by a Tangent and Chord is Measured...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1818 - 646 pages
...from the point c to the line AB, and consequently (th. 21) it is perpendicular to that line. Carol. Hence, conversely, a line drawn perpendicular to a...the point of contact, passes through the centre of ("he circle. f THEOREM XLVUI. THE Angle formed by a Tangent and Chord is Measured by Half the Arc of...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 618 pages
...from the point c to the line AB, and consequently (th. 21) it is perpendicular to that line. Carol. Hence, conversely, a line drawn perpendicular to a...through the centre of the circle. THEOREM XLVIII. Angle formed by a Tangent and Chord is Measured by Half the Arc of that Chord. Let AB be a tangent...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 1

Charles Hutton - Mathematics - 1825
...from the point c to the'line AB,and consequently (th. 81) it is perpendicular to th.it line. Carol. Hence, conversely, a line drawn perpendicular to a...contact, passes through the centre of the circle, THEOREM XLVm. THE Angle formed by a Tangent and Chord is Measured by Half the Arc of that Chord. Let AB be...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1831
...point с to the line AB, and consequently (th. 21) it is perpendicular to that line. Comí. Henee, conversely, a line drawn perpendicular to a tangent,...circle, and CD a chord drawn from the point of contact с ; then is the angle BCD measured by half the arc CFD, and the angle ACD measured by half the arc...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition ...

Charles Hutton - Mathematics - 1831
...therefore the shortest that can be drawn from the point с to the line AB, and consequently (th. 21) it is perpendicular to that line. Coral. Hence, conversely,...contact, passes through the centre of the circle. THEOREM XLVin. THE angle formed by a tangent and chord is measured by half the arc of that chord. Let AB be...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1835 - 260 pages
...remains to be proved that this projection is equal to the tangent DE' in space. The angle ADE, being formed by a tangent and chord, is measured by half the arc ACD ; the angle DD'C, being formed by two chords, is measured by half the sum of AB and CD, or half...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1840 - 264 pages
...remains to be proved that this projection is equal to the tangent DE' in space. The angle ADE, being formed by a tangent and chord, is measured by half the arc ACD ; the angle DD'C, being formed by two chords, is measured by half the sum of AB and CD, or half...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...the centre to meet the tangent AB, and therefore CD is perpendicular to AB (B. I, Prop. xxvi). Cor. Hence, conversely, a line drawn perpendicular to a...contact, passes through the centre of the circle. PROPOSITION VII. THEOREM. The angle formed by a tangent and chord is measured by half the arc of that...
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