Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
10개의 결과 중 1 - 5개
10 페이지
... COROLLARY : If A : C > B : C , then C : A < C : B , and conversely . ( ii ) . COROLLARY : If A : C > P : R , then C : A < R : P , and conversely . " " PROPOSITION 8 . ' Magnitudes have the same IO INTRODUCTION .
... COROLLARY : If A : C > B : C , then C : A < C : B , and conversely . ( ii ) . COROLLARY : If A : C > P : R , then C : A < R : P , and conversely . " " PROPOSITION 8 . ' Magnitudes have the same IO INTRODUCTION .
11 페이지
... COROLLARY : If AB P Q , then m Am B nPnQ , whatever integers m and n may be . PROPOSITION 9 . " If two ratios be equal , and any equimultiples of the antecedents and also of the consequents be taken , the multi- ple of the first ...
... COROLLARY : If AB P Q , then m Am B nPnQ , whatever integers m and n may be . PROPOSITION 9 . " If two ratios be equal , and any equimultiples of the antecedents and also of the consequents be taken , the multi- ple of the first ...
14 페이지
... COROLLARY : " If the sides of a tri- angle be cut by a straight line parallel to the base , the seg- ments of one side are to one another in the same ratio as the segments of the other side . " ( ii ) . COROLLARY : " If two straight ...
... COROLLARY : " If the sides of a tri- angle be cut by a straight line parallel to the base , the seg- ments of one side are to one another in the same ratio as the segments of the other side . " ( ii ) . COROLLARY : " If two straight ...
17 페이지
... COROLLARY : " Parallelograms or triangles of the same altitude are to one another as their bases . " PROPOSITION 17 . " In the same circle , or in equal circles , angles at the cen- tre and sectors are to one another as the arcs on ...
... COROLLARY : " Parallelograms or triangles of the same altitude are to one another as their bases . " PROPOSITION 17 . " In the same circle , or in equal circles , angles at the cen- tre and sectors are to one another as the arcs on ...
18 페이지
... COROLLARY : In any two given concentric circles , corresponding arcs intercepted by common radii bear always the same ratio to one another . That is , if u , u ' , u ' ' , . . . be arcs on one of the circles determined by a series of ...
... COROLLARY : In any two given concentric circles , corresponding arcs intercepted by common radii bear always the same ratio to one another . That is , if u , u ' , u ' ' , . . . be arcs on one of the circles determined by a series of ...
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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