Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
24개의 결과 중 1 - 5개
14 페이지
... 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 lines be cut by four or more parallel ...
... 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 lines be cut by four or more parallel ...
15 페이지
... angle with AB lay off ACP , CD = Q . drawn parallel to DB to meet AB in E , will divide A B at E in the given ratio . ( Prop . 13. ) Since CE and D B are par- allel , C and E lie on the same side of D and B , and hence the A division ...
... angle with AB lay off ACP , CD = Q . drawn parallel to DB to meet AB in E , will divide A B at E in the given ratio . ( Prop . 13. ) Since CE and D B are par- allel , C and E lie on the same side of D and B , and hence the A division ...
17 페이지
... angles at the cen- tre and sectors are to one another as the arcs on which they stand . " Let there be two equal circles with centres at K and K ' , and on their circumferences any two arcs OA , O'B ; then angle OKA : angle O'K'B :: OA ...
... angles at the cen- tre and sectors are to one another as the arcs on which they stand . " Let there be two equal circles with centres at K and K ' , and on their circumferences any two arcs OA , O'B ; then angle OKA : angle O'K'B :: OA ...
18 페이지
... angle or equal angles at their centres are to one another as their radii . DK S S ' F C A B ' Α Fig . 9 . Let there be two arcs S D AD and S ' A'D ' , having their angles AOD and A'O D ' either equal and distinct or common , and let R ...
... angle or equal angles at their centres are to one another as their radii . DK S S ' F C A B ' Α Fig . 9 . Let there be two arcs S D AD and S ' A'D ' , having their angles AOD and A'O D ' either equal and distinct or common , and let R ...
19 페이지
... 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 , and draw the equal chords of the submultiple arcs of S and the like equal chords of 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 , and draw the equal chords of the submultiple arcs of S and the like equal chords of the ...
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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