A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 313
... Chord is a right line joining the extremities of an arc . 50. A Segment is any part of a circle bounded by an arc and its chord . Ө оооооо Ө 51. A Semicircle is half the circle , or a DEFINITIONS . 313.
... Chord is a right line joining the extremities of an arc . 50. A Segment is any part of a circle bounded by an arc and its chord . Ө оооооо Ө 51. A Semicircle is half the circle , or a DEFINITIONS . 313.
Page 314
... chords , are said to be Equidistant from the centre of a circle , when perpendiculars drawn to them from the centre are equal . 60. And the right line on which the Greater Perpendi- cular falls , is said to be farther from the centre ...
... chords , are said to be Equidistant from the centre of a circle , when perpendiculars drawn to them from the centre are equal . 60. And the right line on which the Greater Perpendi- cular falls , is said to be farther from the centre ...
Page 333
... chord , it will bisect both the chord and the arc of the chord . and CD a line drawn Then , if the chord be Let AB be any chord in a circle , from the centre C to the chord . bisected in the point D , CD will be perpendicular to AB ...
... chord , it will bisect both the chord and the arc of the chord . and CD a line drawn Then , if the chord be Let AB be any chord in a circle , from the centre C to the chord . bisected in the point D , CD will be perpendicular to AB ...
Page 334
... chord at right angles , passes through the centre of the circle . THEOREM XLII . If more than two equal lines can be drawn from any point within a circle to the circumference , that point will be the centre . Let ABC be a circle , and D ...
... chord at right angles , passes through the centre of the circle . THEOREM XLII . If more than two equal lines can be drawn from any point within a circle to the circumference , that point will be the centre . Let ABC be a circle , and D ...
Page 335
... chords in a circle , which are equally distant from the centre , are equal to each other ; or if they be equal to each ... chord CD ; then will their distances from the centre , GE , GF , also be equal to each other . For , since AB is ...
... chords in a circle , which are equally distant from the centre , are equal to each other ; or if they be equal to each ... chord CD ; then will their distances from the centre , GE , GF , also be equal to each other . For , since AB is ...
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Common terms and phrases
algebraic algebraic quantities altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial positive Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards