The Elements of Plane and Spherical Trigonometry |
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Page vii
... Sides and Angles of Spherical Triangles . 167 The Polar Triangle , and its Properties 168 CHAPTER II . The Cosine of an Angle 171 The Sine of an Angle 172 .......... The Sine , Cosine , and Tangent of half an Angle 173 The Cosine of a Side ...
... Sides and Angles of Spherical Triangles . 167 The Polar Triangle , and its Properties 168 CHAPTER II . The Cosine of an Angle 171 The Sine of an Angle 172 .......... The Sine , Cosine , and Tangent of half an Angle 173 The Cosine of a Side ...
Page 11
John Hind. and , accordingly , since the ratios of the sides of a triangle remain the same whilst its angles are not altered , the magnitude of an angle may be ... sides of a right - angled triangle , which ratios ANGULAR FUNCTIONS . 11.
John Hind. and , accordingly , since the ratios of the sides of a triangle remain the same whilst its angles are not altered , the magnitude of an angle may be ... sides of a right - angled triangle , which ratios ANGULAR FUNCTIONS . 11.
Page 50
... sides by which they are respectively subtended . Let ABC be a triangle whose angles and sides are A , B , C ; a , b , c respectively : from any angle C draw CD perpendicular to AB , produced , if necessary : D B CD CD then , we have sin ...
... sides by which they are respectively subtended . Let ABC be a triangle whose angles and sides are A , B , C ; a , b , c respectively : from any angle C draw CD perpendicular to AB , produced , if necessary : D B CD CD then , we have sin ...
Page 51
... sides their difference :: the tangent of half the sum of their opposite angles : the tangent of half the difference . 71. To express the cosine of an angle of a triangle , in terms of the sides . Retaining the notation and construction ...
... sides their difference :: the tangent of half the sum of their opposite angles : the tangent of half the difference . 71. To express the cosine of an angle of a triangle , in terms of the sides . Retaining the notation and construction ...
Page 53
... sides their dif- ference the difference or sum of the lines intercepted between the extremities of the base and the perpendi- cular , according as it falls within or without the triangle . This proportion is generally used by Practical ...
... sides their dif- ference the difference or sum of the lines intercepted between the extremities of the base and the perpendi- cular , according as it falls within or without the triangle . This proportion is generally used by Practical ...
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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 formulæ 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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