A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 359
... 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 . ะพ O O O O O 51. A Semicircle is half the circle , or a DEFINITIONS . 359.
... 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 . ะพ O O O O O 51. A Semicircle is half the circle , or a DEFINITIONS . 359.
Page 360
... 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 379
... chord , it will bisect both the chord and the arc of the chord . Let AB be any chord in a circle , and CD a line drawn from the centre C to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB . D ...
... chord , it will bisect both the chord and the arc of the chord . Let AB be any chord in a circle , and CD a line drawn from the centre C to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB . D ...
Page 380
... 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 381
... 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 axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards