Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página xiii
... ANGLES UNLIMITED IN SIGN AND MAGNITUDE . § 1. Directed Magnitudes . 285-293 . Directed lengths , angles , and areas ... angle . Sum and difference formulæ for acute angles Extension of formulæ to all angles • • 245 , 246 246-250 251-253 ...
... ANGLES UNLIMITED IN SIGN AND MAGNITUDE . § 1. Directed Magnitudes . 285-293 . Directed lengths , angles , and areas ... angle . Sum and difference formulæ for acute angles Extension of formulæ to all angles • • 245 , 246 246-250 251-253 ...
Página 1
... angles are said to be equal if the pair of lines- supposed to be rigidly connected — which bound one angle may be superposed exactly on the pair of lines which bound the other angle . Thus , in the accompanying figure , the acute angles ...
... angles are said to be equal if the pair of lines- supposed to be rigidly connected — which bound one angle may be superposed exactly on the pair of lines which bound the other angle . Thus , in the accompanying figure , the acute angles ...
Página 3
... acute angles in the accompanying figure are geometrically equal , but the ... angle between its present position and its position at the beginning of the hour . But ... angle determined by amount of revolution Subdivisions of the Right-angle.
... acute angles in the accompanying figure are geometrically equal , but the ... angle between its present position and its position at the beginning of the hour . But ... angle determined by amount of revolution Subdivisions of the Right-angle.
Página 7
... angle . 1. Let OF , be in the 1st Quadrant . 1 Let the acute angle IOF , be A. Then , the revolving line may have described any number of complete revolutions , bringing it back to OI , before finally resting at OF1 . Hence the ...
... angle . 1. Let OF , be in the 1st Quadrant . 1 Let the acute angle IOF , be A. Then , the revolving line may have described any number of complete revolutions , bringing it back to OI , before finally resting at OF1 . Hence the ...
Página 8
... acute angle IOF , be A. Then , the revolving line may be supposed first , to make ( n - 1 ) complete revolutions ... angle IOF is ( n − 1 ) 360 ° + 180 ° + 180 ° — A = n . 360 ° – A * . - 16. By the last article , we see that we may ...
... acute angle IOF , be A. Then , the revolving line may be supposed first , to make ( n - 1 ) complete revolutions ... angle IOF is ( n − 1 ) 360 ° + 180 ° + 180 ° — A = n . 360 ° – A * . - 16. By the last article , we see that we may ...
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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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