Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página vi
... formulæ are first established in a simple manner inde- pendently of De Moivre's Theorem . Several of the methods of proof in Chapter XIV . on Multiple Angles are new . The treatment of infinite series is introduced by a few compre ...
... formulæ are first established in a simple manner inde- pendently of De Moivre's Theorem . Several of the methods of proof in Chapter XIV . on Multiple Angles are new . The treatment of infinite series is introduced by a few compre ...
Página xi
... 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 Angles . 136-140 . Definitions extended to obtuse angles EXAMPLES VI . A. 141–156 . § 2. Relations ...
... 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 Angles . 136-140 . Definitions extended to obtuse angles EXAMPLES VI . A. 141–156 . § 2. Relations ...
Página xii
... Formulæ for inscribed , escribed , and circumscribed 212 , 213 . circles Orthocentre and Centre of Gravity 214-216 . Cosine Circle , and Brocard Properties Distances between the several centres 152 152-156 156 157-159 159-162 221-225 ...
... Formulæ for inscribed , escribed , and circumscribed 212 , 213 . circles Orthocentre and Centre of Gravity 214-216 . Cosine Circle , and Brocard Properties Distances between the several centres 152 152-156 156 157-159 159-162 221-225 ...
Página xiii
... Formulæ . 276-278 . Factor - form of expressions 279-284 . Application to solution of triangles 203 , 204 204-208 ... formulæ for acute angles Extension of formulæ to all angles • • 245 , 246 246-250 251-253- ARTS . 339-342 . 343 , 344 ...
... Formulæ . 276-278 . Factor - form of expressions 279-284 . Application to solution of triangles 203 , 204 204-208 ... formulæ for acute angles Extension of formulæ to all angles • • 245 , 246 246-250 251-253- ARTS . 339-342 . 343 , 344 ...
Página xiv
... formulæ 408-414 . 415-424 . 425-430 . EXAMPLES XV . . CHAPTER XVI . TRIGONOMETRICAL FACTORS . § 1. Algebraical Theorems 298 , 299 299-302 • 303-306 307-315 315-318 § 2. Trigonometrical factorisation § 3. Deductions from factor - formulæ ...
... formulæ 408-414 . 415-424 . 425-430 . EXAMPLES XV . . CHAPTER XVI . TRIGONOMETRICAL FACTORS . § 1. Algebraical Theorems 298 , 299 299-302 • 303-306 307-315 315-318 § 2. Trigonometrical factorisation § 3. Deductions from factor - formulæ ...
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Términos y frases comunes
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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