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 42. Line equivalents of goniometric ratios . 43. Proof that limit ( sin 0 ) ...
... RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of arc - ratio . . . 40. Definitions of goniometric ratios . 41. Agenda : Properties of goniometric ratios 42. Line equivalents of goniometric ratios . 43. Proof that limit ( sin 0 ) ...
39 페이지
... as well as amount of motion . See Macgregor : Elementary Treatise on Kinematics and Dynamics , pp . 22 , 23 and 55 . and is supposed to pass the origin at the instant LAWS OF ALGEBRAIC OPERATION . 39 23 23 23 Definition of arc-ratio.
... as well as amount of motion . See Macgregor : Elementary Treatise on Kinematics and Dynamics , pp . 22 , 23 and 55 . and is supposed to pass the origin at the instant LAWS OF ALGEBRAIC OPERATION . 39 23 23 23 Definition of arc-ratio.
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 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 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 that is , 0 Fig . 23 . S T PQP ' , an arc with radius OP , draw PT and P'T tangents to the arc at P and P ' , join P , P ' , and 0 , T. Then assuming that an arc is greater than the ...
... arc - ratio of the angle POQ in Fig . 23 , draw that is , 0 Fig . 23 . S T PQP ' , an arc with radius OP , draw PT and P'T tangents to the arc at P and P ' , join P , P ' , and 0 , T. Then assuming that an arc is greater than the ...
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a+ib addition and subtraction Addition Theorem affix Agenda amplitude angle AOQ arc AVQ arc-ratio assumed base CALIFORNIA circular sector co-ordinates commutative law complex quantities corresponding cosh COSK csch defined definition direction distance equal equation equilateral hyperbola expm exponential expressed factors formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integer inverse law of indices law of involution law of metathesis length logarithmic spiral logm metathesis modular normal modulus natural logarithms negative nth roots orthomorphosis parallel path plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radius real axis real magnitudes real quantities reciprocal represent respectively roots sech sector sinh speed straight line tanh tensor tion triangle unit circle x+iy z-plane zero