Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side x
... RATIOS AND THEIR FUNDAMENTAL RELATIONS . 66-69 . Ratios determined by angle and conversely 70-77 . 78-92 . Names of ratios defined and explained Fundamental relations between the ratios . Ratio - Hexagon 39 , 40 40-43 The 44-50 93-96 ...
... RATIOS AND THEIR FUNDAMENTAL RELATIONS . 66-69 . Ratios determined by angle and conversely 70-77 . 78-92 . Names of ratios defined and explained Fundamental relations between the ratios . Ratio - Hexagon 39 , 40 40-43 The 44-50 93-96 ...
Side xi
... ratios of angles Ratios of the double and half angle . 127-135 . Algebraical interdependence of formulæ EXAMPLES V. 126 . CHAPTER VI . TRIGONOMETRICAL FORMULÆ FOR A TRIANGLE . § 1. Ratios of Obtuse Angles . EXAMPLES VI . A. . 136-140 ...
... ratios of angles Ratios of the double and half angle . 127-135 . Algebraical interdependence of formulæ EXAMPLES V. 126 . CHAPTER VI . TRIGONOMETRICAL FORMULÆ FOR A TRIANGLE . § 1. Ratios of Obtuse Angles . EXAMPLES VI . A. . 136-140 ...
Side xiii
... Ratios . 216-220 220 , 221 222-224 224 , 225 300 . Extended definition of ratios 301-306 . Convention as to sign 307-314 . 315-319 . Comparison of ratios of related angles Changes in sign and value of ratios 225-229 229-235 235-238 320 ...
... Ratios . 216-220 220 , 221 222-224 224 , 225 300 . Extended definition of ratios 301-306 . Convention as to sign 307-314 . 315-319 . Comparison of ratios of related angles Changes in sign and value of ratios 225-229 229-235 235-238 320 ...
Side xiv
... ratio in terms of ratios of multiple angles . 364-377 . Ratios of multiple angle in non - homogeneous series 265 , 266 267 , 268 268-270 270-276 277-280 EXAMPLES XIV . CHAPTER XV . SUBMULTIPLE ANGLES . 378-386 . Number of solutions 281 ...
... ratio in terms of ratios of multiple angles . 364-377 . Ratios of multiple angle in non - homogeneous series 265 , 266 267 , 268 268-270 270-276 277-280 EXAMPLES XIV . CHAPTER XV . SUBMULTIPLE ANGLES . 378-386 . Number of solutions 281 ...
Side xv
... RATIOS . § 1. Relations of Inequality . 481-487 . First relations of inequality 488-493 . 494 497 . Limits of certain expressions Closer relations of inequality § 2. Ratios in terms of Circular Measure . 354-356 356-359 359-361 495-500 ...
... RATIOS . § 1. Relations of Inequality . 481-487 . First relations of inequality 488-493 . 494 497 . Limits of certain expressions Closer relations of inequality § 2. Ratios in terms of Circular Measure . 354-356 356-359 359-361 495-500 ...
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acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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