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 , and secant of the complement of that arc , the Co being only a contraction of the word complement . Thus , the arcs AB , BD being the complements of each other , the sine , tangent or secant of the one of these , is the ...
... sine , tangent , and secant of the complement of that arc , the Co being only a contraction of the word complement . Thus , the arcs AB , BD being the complements of each other , the sine , tangent or secant of the one of these , is the ...
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. 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. 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
axis become x becomes bisected called centre chord circle circumference co-ordinates Corol cosec cosine curve decimal denominator determine diameter difference differential co-efficient distance Divide divisor draw dx dy dy dx equal EXAMPLES expression feet figure formula fraction function greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiplied negative nth root opposite P₁ parallel parallelogram perpendicular polynomial positive Prob problem Prop proportional quotient radius ratio rectangle remaining right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM triangle ABC unknown quantity whence whole number yards