The Elements of Plane and Spherical Trigonometry |
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Page 41
... practical use , and we will conclude this part of the subject with the demonstrations of two im-- portant general Trigonometrical Theorems , dependent upon the Principles of Algebraical Induction ; observing that a variety of Examples ...
... practical use , and we will conclude this part of the subject with the demonstrations of two im-- portant general Trigonometrical Theorems , dependent upon the Principles of Algebraical Induction ; observing that a variety of Examples ...
Page 53
... Practical Ma- thematicians not much accustomed to the treatment of Algebraical Formulę . 73. To express the sine of an angle of a triangle , in terms of the sides . Here , sin3A = 1 - cos3A = ( 1 - cos A ) ( 1 + cos A ) : b2 + c2 - a2 ...
... Practical Ma- thematicians not much accustomed to the treatment of Algebraical Formulę . 73. To express the sine of an angle of a triangle , in terms of the sides . Here , sin3A = 1 - cos3A = ( 1 - cos A ) ( 1 + cos A ) : b2 + c2 - a2 ...
Page 59
... practical purposes . 83. COR . If p , P denote the perimeters ; and a , A the areas of the inscribed and circumscribed polygons respectively , we have 180 ° a Р = COS = P " n and 94 180 ° = cos2 A n and thus , the perimeters and areas ...
... practical purposes . 83. COR . If p , P denote the perimeters ; and a , A the areas of the inscribed and circumscribed polygons respectively , we have 180 ° a Р = COS = P " n and 94 180 ° = cos2 A n and thus , the perimeters and areas ...
Page 64
... practical purposes , the man- tissę alone of all numbers from 1 to 108000 , calculated to seven places of decimals , are inserted : and the cha- racteristics are immediately supplied from the considera- tions introduced in Article ( 90 ) ...
... practical purposes , the man- tissę alone of all numbers from 1 to 108000 , calculated to seven places of decimals , are inserted : and the cha- racteristics are immediately supplied from the considera- tions introduced in Article ( 90 ) ...
Page 65
John Hind. approximations to the true results are considered sufficient for the practical purposes to which they are applied : how this is done will now be explained and exemplified . ( 1 ) Log PQ = log P + log Q. For , let p = log P ...
John Hind. approximations to the true results are considered sufficient for the practical purposes to which they are applied : how this is done will now be explained and exemplified . ( 1 ) Log PQ = log P + log Q. For , let p = log P ...
Contents
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Other editions - View all
The Elements of Plane and Spherical Trigonometry: Designed for the Use of ... John Hind No preview available - 2012 |
The Elements of Plane and Spherical Trigonometry: Designed for the Use of ... John Hind No preview available - 2018 |
Common terms and phrases
a+b+c angular points arithmetical Article bisecting Cambridge centre circular measure circumscribed circle College corresponding cos a cos cos² cos³ cosec cosine Demoivre's Theorem denote Diff Edition equal equation express the sine find the rest formulę functions Geometry given greater Hence imaginary inscribed John Machin logarithms magnitude multiple nearly negative number of sides number of terms obtained perpendicular places of decimals plane prove quadrant quadratic factors quantities r₁ radii radius regular polygon respectively right angles roots sec² shew sin A cos sin A sin sin² sin³ sin³A sine and cosine solid angle solution spherical triangle straight line tan-¹ tan'a tan² tan³ tangent triangle ABC Trigonometry values vers whence
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