## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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Page 288

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**sine**of 7 ° 37'30 " . Ex . 7. Find also the same**sine**, supposing , first , that the**sine**of 7 ° 34 ' had not been given in the data ; and secondly , that**sine**7 ° 40 ' had been given in addition to the data . 3. When the first ... Page 422

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**sine**and the arc , estimated on OA , viz . AD , is called the versed**sine**of a , and written vers a . a ) 7. The line BE OD is the**sine**of the complement of a , or sin ( It is called for brevity of expression , the cosine of a , and is ... Page 424

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**sine**and coversed**sine**are in all the quadrants , since they do not change the direction in which they are estimated . All these relations are consistent with those in the preceding section , and the**sine**and cosine being given with ... Page 425

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**sine**and cosine of the sum and difference of two arcs , in terms of the sines and cosines of the arcs themselves . G Let AB , BC , be two arcs ; draw BD , CE , perpendicular to OA , and CF perpendicular to OB . Then BD , CF , are the ... Page 428

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**sine**have the same signs as those functions . Some interesting discussions of the signs connected with these functions may be found in Professor Young's Mathematical Dissertations , p . 8 . VI . THE VALUES OF THE TRIGONOMETRICAL ...### Other editions - View all

### Common terms and phrases

ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence