Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
34개의 결과 중 1 - 5개
iv 페이지
... of proportion are enunciated and proved in an Introduction , in which I have followed the * Fine : The Number - System of Algebra , Boston , 1891 . method recommended by the Association for the Improve- ment of iv PREFACE .
... of proportion are enunciated and proved in an Introduction , in which I have followed the * Fine : The Number - System of Algebra , Boston , 1891 . method recommended by the Association for the Improve- ment of iv PREFACE .
10 페이지
... proves the first part of each of the two propositions . Second Part : It has been proved that and and CA : C : B , if A = B , ( Prop . 4. ) C : AC : B , if A > B , ( Prop . 5. ) C : A > C : B , if A < B. ( Prop . 5. ) ( Def . 2 , Ax ...
... proves the first part of each of the two propositions . Second Part : It has been proved that and and CA : C : B , if A = B , ( Prop . 4. ) C : AC : B , if A > B , ( Prop . 5. ) C : A > C : B , if A < B. ( Prop . 5. ) ( Def . 2 , Ax ...
18 페이지
... ; then S : S ' : R : R ' . If the two arcs be not concentric , let them be made so , and let their bounding radii be made to coincide . Then the proposition proved for the concentric will also be true 18 INTRODUCTION .
... ; then S : S ' : R : R ' . If the two arcs be not concentric , let them be made so , and let their bounding radii be made to coincide . Then the proposition proved for the concentric will also be true 18 INTRODUCTION .
19 페이지
... proved for the concentric will also be true for the non - concentric arcs . Conceive the angle at O to be divided into m equal parts , m being any integer , by radii setting off the arcs S and S ' into the same number of equal parts ...
... proved for the concentric will also be true for the non - concentric arcs . Conceive the angle at O to be divided into m equal parts , m being any integer , by radii setting off the arcs S and S ' into the same number of equal parts ...
20 페이지
... prove that nA = m B. ( 2 ) . If A , B be two geometrical magnitudes and m , n two integers such that n A = m B , prove that A : Bm : n . Hence infer the statement in the first part of Definition 4 , page 4 , concerning commensurable ...
... prove that nA = m B. ( 2 ) . If A , B be two geometrical magnitudes and m , n two integers such that n A = m B , prove that A : Bm : n . Hence infer the statement in the first part of Definition 4 , page 4 , concerning commensurable ...
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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