Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side vi
... Multiple Angles are new . The treatment of infinite series is introduced by a few compre- hensive theorems on convergency of series , which will prepare the student for some of the particular difficulties attaching to trigonometrical ...
... Multiple Angles are new . The treatment of infinite series is introduced by a few compre- hensive theorems on convergency of series , which will prepare the student for some of the particular difficulties attaching to trigonometrical ...
Side xiv
... multiple angle in homogeneous series 361-363 . Power of ratio in terms of ratios of multiple angles . 364-377 . Ratios of multiple angle in non - homogeneous series EXAMPLES XIV . 265 , 266 267 , 268 268-270 270-276 277-280 378-386 ...
... multiple angle in homogeneous series 361-363 . Power of ratio in terms of ratios of multiple angles . 364-377 . Ratios of multiple angle in non - homogeneous series EXAMPLES XIV . 265 , 266 267 , 268 268-270 270-276 277-280 378-386 ...
Side 8
... multiple of 180 ° + an acute angle . 2nd Quad . , trig . angle odd multiple of 180 ° - an acute angle . 3rd Quad . , trig . angle = odd multiple of 180 ° + an acute angle . 4th Quad . , trig . angle even multiple of 180 ° - an acute ...
... multiple of 180 ° + an acute angle . 2nd Quad . , trig . angle odd multiple of 180 ° - an acute angle . 3rd Quad . , trig . angle = odd multiple of 180 ° + an acute angle . 4th Quad . , trig . angle even multiple of 180 ° - an acute ...
Side 18
... multiples of some common quantity commensurate with each . Thus , 3 inches and 173 inches are commensurable ; for 3 inches = 21 sixths - of - an - inch and 173 inches 104 sixths - of - an - inch . Also 3/2 inches and 5/2 inches are ...
... multiples of some common quantity commensurate with each . Thus , 3 inches and 173 inches are commensurable ; for 3 inches = 21 sixths - of - an - inch and 173 inches 104 sixths - of - an - inch . Also 3/2 inches and 5/2 inches are ...
Side 21
... multiple of a less than î ̧ , na < x3 but na > X2 . Call na , x : then , since x < x3 , • ' • Y4 < Y3 • Again , since x and x ( viz . ma and na ) are commensurable , Comparing ( 1 ) and ( 2 ) , since X1X4Y1 : Y4 X4 X2 · Y4 > Y3 • But y ...
... multiple of a less than î ̧ , na < x3 but na > X2 . Call na , x : then , since x < x3 , • ' • Y4 < Y3 • Again , since x and x ( viz . ma and na ) are commensurable , Comparing ( 1 ) and ( 2 ) , since X1X4Y1 : Y4 X4 X2 · Y4 > Y3 • But y ...
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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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