Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
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v 페이지
... Plane Geometry , Book IV , Section 2. The proofs vary in unessential par- ticulars from those of the two texts named . The subject - matter and treatment are such as to con- stitute , for the student already familiar with the elements ...
... Plane Geometry , Book IV , Section 2. The proofs vary in unessential par- ticulars from those of the two texts named . The subject - matter and treatment are such as to con- stitute , for the student already familiar with the elements ...
3 페이지
... 2. " A less magnitude is said to be a submultiple of a greater , when the less is contained an exact number of times in the greater . " * The quoted paragraphs of Section B are transcribed in part from the Sylla- bus of Plane Geometry ...
... 2. " A less magnitude is said to be a submultiple of a greater , when the less is contained an exact number of times in the greater . " * The quoted paragraphs of Section B are transcribed in part from the Sylla- bus of Plane Geometry ...
4 페이지
... ( ii ) . A > or < B according as m A > or < m B. ( Euc . Axioms 2 and 4. ) 3. " The ratio of one magnitude to another ... Plane Geometry , p . 5. ) incommensurable if no such coincidence takes place , however far AMAROMA INTRODUCTION .
... ( ii ) . A > or < B according as m A > or < m B. ( Euc . Axioms 2 and 4. ) 3. " The ratio of one magnitude to another ... Plane Geometry , p . 5. ) incommensurable if no such coincidence takes place , however far AMAROMA INTRODUCTION .
13 페이지
... two straight lines , AB , CD , cut by two parallel straight lines AC , BD , equimultiples of the intercepts re ... Plane Geo- metry , Book IV , Section 2 . ** J. M. Wilson : Elementary Geometry , page 205 . ( ( PROPOSITION 13 . If ...
... two straight lines , AB , CD , cut by two parallel straight lines AC , BD , equimultiples of the intercepts re ... Plane Geo- metry , Book IV , Section 2 . ** J. M. Wilson : Elementary Geometry , page 205 . ( ( PROPOSITION 13 . If ...
52 페이지
... 2 QP < 2 PT , or SP OP PT SP SP SP ' that is , sin 0 cos 0 . * See Todhunter's Plane Trigonometry , p . 49 , and the reference there given : Peacock's Algebra , Vol . II , p . 157. See also Buckingham's Differential and Integral ...
... 2 QP < 2 PT , or SP OP PT SP SP SP ' that is , sin 0 cos 0 . * See Todhunter's Plane Trigonometry , p . 49 , and the reference there given : Peacock's Algebra , Vol . II , p . 157. See also Buckingham's Differential and Integral ...
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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