Uniplanar Algebra: Being Part I of a Prop©¡deutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141ÆäÀÌÁö |
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... speed , Q to move with a constant speed along any line , as ES , in the plane , Palong OR with a speed proportional to its distance from O. Let * The theory of logarithms and exponentials , as here formulated , was the sub- ject ...
... speed , Q to move with a constant speed along any line , as ES , in the plane , Palong OR with a speed proportional to its distance from O. Let * The theory of logarithms and exponentials , as here formulated , was the sub- ject ...
79 ÆäÀÌÁö
Being Part I of a Prop©¡deutic to the Higher Mathematical Analysis Irving Stringham. speed of P in OR at A = ¥ë , , arc - ratio of JOR = 0 , arc - ratio of JDS = 4 , speed of in ES speed of R'in JRŠ , arc - ratio of JO T = ẞ , OP , OQ = p ...
Being Part I of a Prop©¡deutic to the Higher Mathematical Analysis Irving Stringham. speed of P in OR at A = ¥ë , , arc - ratio of JOR = 0 , arc - ratio of JDS = 4 , speed of in ES speed of R'in JRŠ , arc - ratio of JO T = ẞ , OP , OQ = p ...
82 ÆäÀÌÁö
... speed in a straight line passing through S ' and through a point on OJ at a distance to the left of O equal to OE . Hence the values of z in the two systems are identical , while w , of the original gonic system , in virtue of the back ...
... speed in a straight line passing through S ' and through a point on OJ at a distance to the left of O equal to OE . Hence the values of z in the two systems are identical , while w , of the original gonic system , in virtue of the back ...
84 ÆäÀÌÁö
... to the left . 73. The Exponential Formula . If 0 = arc - ratio of MOP , z = p cis 0 Bu + iv ̧ It is required to find p and ✪ as functions of u and v . ¥ì m = - Since the speed of N ' 84 THE ALGEBRA OF COMPLEX QUANTITIES .
... to the left . 73. The Exponential Formula . If 0 = arc - ratio of MOP , z = p cis 0 Bu + iv ̧ It is required to find p and ✪ as functions of u and v . ¥ì m = - Since the speed of N ' 84 THE ALGEBRA OF COMPLEX QUANTITIES .
85 ÆäÀÌÁö
... speed of N ' in OT is ¥ì cos ( ẞ ) and that of P in OR is ¥ëp , and since by definition m¥ì / cos ( — ©¬ ) , the relation between ON ' , u ' and OP , = p , two real quantities , is that of an exponential to its logarithm , with respect to ...
... speed of N ' in OT is ¥ì cos ( ẞ ) and that of P in OR is ¥ëp , and since by definition m¥ì / cos ( — ©¬ ) , the relation between ON ' , u ' and OP , = p , two real quantities , is that of an exponential to its logarithm , with respect to ...
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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