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 . Names of ratios defined and explained 39 , 40 40-43 78-92 . Fundamental relations between the ratios . The Ratio - Hexagon 44-50 1 93-96 ...
... RATIOS AND THEIR FUNDAMENTAL RELATIONS . 66-69 . Ratios determined by angle and conversely 70-77 . Names of ratios defined and explained 39 , 40 40-43 78-92 . Fundamental relations between the ratios . The Ratio - Hexagon 44-50 1 93-96 ...
Side xi
... ratios of angles Ratios of the double and half angle . 127-135 . Algebraical interdependence of formulæ EXAMPLES V. PAGES 74-77 77 , 78 79 , 80 80-83 83-86 CHAPTER VI . TRIGONOMETRICAL FORMULE FOR A TRIANGLE . § 1. Ratios of Obtuse ...
... ratios of angles Ratios of the double and half angle . 127-135 . Algebraical interdependence of formulæ EXAMPLES V. PAGES 74-77 77 , 78 79 , 80 80-83 83-86 CHAPTER VI . TRIGONOMETRICAL FORMULE FOR A TRIANGLE . § 1. Ratios of Obtuse ...
Side xiii
... Ratios . Extended definition of ratios Convention as to sign 307-314 . Comparison of ratios of related angles 315-319 . Changes in sign and value of ratios . 216-220 220 , 221 222-224 224 , 225 225-229 229-235 235-238 320 , 321 . § 3 ...
... Ratios . Extended definition of ratios Convention as to sign 307-314 . Comparison of ratios of related angles 315-319 . Changes in sign and value of ratios . 216-220 220 , 221 222-224 224 , 225 225-229 229-235 235-238 320 , 321 . § 3 ...
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 354-356 488-493 . Limits of certain expressions 356-359 494 497. Closer relations of inequality 359-361 § 2. Ratios in terms of Circular Measure . 493-500 ...
... RATIOS . § 1. Relations of Inequality . 481-487 . First relations of inequality 354-356 488-493 . Limits of certain expressions 356-359 494 497. Closer relations of inequality 359-361 § 2. Ratios in terms of Circular Measure . 493-500 ...
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acute angle algebraically angle AOB antiparallel base bisector bisects Brocard Brocard Circle Brocard Points centre chord circular measure circumcircle circumference circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal diameter difference directed length equal equation escribed circles Example expressed factors figure final line finite formulæ greater Hence hypothenuse inscribed integral last article Lemoine Circle logarithms magnitude middle point multiple negative nine-points circle obtuse opposite perp perpendicular positive PROP prove quadrant quantity radian radii radius ratios respectively revolver right-angled triangle S₁ sec² secant sector sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem trigonometrical angle values zero
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