Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
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ix 페이지
... RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of arc - ratio . 40. Definitions of goniometric ratios . 41. Agenda : Properties of goniometric ratios 49 50 51 42. Line equivalents of goniometric ratios . 51 43. Proof that limit ( sin ...
... RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of arc - ratio . 40. Definitions of goniometric ratios . 41. Agenda : Properties of goniometric ratios 49 50 51 42. Line equivalents of goniometric ratios . 51 43. Proof that limit ( sin ...
49 페이지
... RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of Arc - Ratio . In the accompanying figures N'N is a straight line fixed in position and direction , OP is supposed to have reached its position by turning about the fixed point O in ...
... RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of Arc - Ratio . In the accompanying figures N'N is a straight line fixed in position and direction , OP is supposed to have reached its position by turning about the fixed point O in ...
50 페이지
... ratio itself . This magnitude ◊ will be called the arc - ratio of the angle AOQ . The letter T stands for ratio of a semi - circumference to its radius , that is , the arc - ratio of 180 ° . Lines drawn parallel or perpendicular to N'N ...
... ratio itself . This magnitude ◊ will be called the arc - ratio of the angle AOQ . The letter T stands for ratio of a semi - circumference to its radius , that is , the arc - ratio of 180 ° . Lines drawn parallel or perpendicular to N'N ...
52 페이지
... arc - ratio of the angle POQ in Fig . 23 , draw PQP ' , an arc with radius OP , draw PT and P'T ' tangents to the arc at P and P ' , join P , P ' , and O , T. Then assuming that an arc is greater than the subtending chord and less than ...
... arc - ratio of the angle POQ in Fig . 23 , draw PQP ' , an arc with radius OP , draw PT and P'T ' tangents to the arc at P and P ' , join P , P ' , and O , T. Then assuming that an arc is greater than the subtending chord and less than ...
56 페이지
... circle with centre at the origin and radius a , NQ a tangent to the circle from the foot of the ordinate y , RS a tangent to the hyperbola parallel to the chord PA , a , ß the co - ordinates of Q , the arc - ratio of the angle AOQ . It ...
... circle with centre at the origin and radius a , NQ a tangent to the circle from the foot of the ordinate y , RS a tangent to the hyperbola parallel to the chord PA , a , ß the co - ordinates of Q , the arc - ratio of the angle AOQ . It ...
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addition and subtraction Addition Theorem Agenda amplitude angle AOQ arc-ratio B₁ base called circular sector cis ẞ commutative law complex quantities COROLLARY corresponding cosh COSK csch defined definition denoted distance equal equation equilateral hyperbola expm exponential expressed formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integers intersect inverse law of indices law of involution law of metathesis length logarithmic spiral logarithms logm modulus Multiplication and Division natural logarithms negative factors nth root OJ=j parallel plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radii radius real axis real magnitudes real quantities reciprocal represent respectively sech sector sinh speed of Q straight line tanh tensor tion triangle unit circle z-plane zero