A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 493
... Sine , or Right Sine , of an arc , is the line drawn from one extremity of the arc , perpendicular to the diameter passing through the other extremity . Thus , BF is the sine of the arc AB , or of the arc BDE . Corol . Hence the sine ...
... Sine , or Right Sine , of an arc , is the line drawn from one extremity of the arc , perpendicular to the diameter passing through the other extremity . Thus , BF is the sine of the arc AB , or of the arc BDE . Corol . Hence the sine ...
Page 494
... sine , tangent or secant of the one of these , is the cosine , cotangent or cosecant of the other . So , BF , the sine of AB , is the cosine of BD ; and BK , the sine of BD , is the cosine of AB : in like manner , AH , the tangent of AB ...
... sine , tangent or secant of the one of these , is the cosine , cotangent or cosecant of the other . So , BF , the sine of AB , is the cosine of BD ; and BK , the sine of BD , is the cosine of AB : in like manner , AH , the tangent of AB ...
Page 495
... sine and cosine of a given arc . This problem is resolved after various ways . One of these is as follows , viz . by means of the ratio between the diameter and circumference of a circle , to- gether with the known series for the sine ...
... sine and cosine of a given arc . This problem is resolved after various ways . One of these is as follows , viz . by means of the ratio between the diameter and circumference of a circle , to- gether with the known series for the sine ...
Page 496
... sine , CF or BK the co- sine , AH the tangent , CH the secant , DL the cotangent , and CL the cosecant , the radius being CA , or CB , or CD ; the three similar triangles CFB , CAH , CDL , give the following proportions : 1st , CF : FB ...
... sine , CF or BK the co- sine , AH the tangent , CH the secant , DL the cotangent , and CL the cosecant , the radius being CA , or CB , or CD ; the three similar triangles CFB , CAH , CDL , give the following proportions : 1st , CF : FB ...
Page 497
... sine of its opposite angle B , as BC to the sine of its opposite angle A. E F B Note 1. - In practice , to find an angle , begin the proportion with a side oppo- site a given angle . And to find a side , begin with an angle opposite a ...
... sine of its opposite angle B , as BC to the sine of its opposite angle A. E F B Note 1. - In practice , to find an angle , begin the proportion with a side oppo- site a given angle . And to find a side , begin with an angle opposite a ...
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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