Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
11개의 결과 중 1 - 5개
13 페이지
... triangle ABD , and the triangle DBF of the triangle CBD . ... area of triangle EBD = area of triangle FBD . E B F Fig . 3 But these triangles EBD , FBD have the same base BD ; hence their vertices E and F must be in a straight line ...
... triangle ABD , and the triangle DBF of the triangle CBD . ... area of triangle EBD = area of triangle FBD . E B F Fig . 3 But these triangles EBD , FBD have the same base BD ; hence their vertices E and F must be in a straight line ...
14 페이지
... triangle , as OAB , a straight line EF , parallel to the side A B , cut the other sides , OA in E and OB in F , then AB : EF :: OA : OE :: OB : OF . PROPOSITION 14 . “ A given finite straight line can 14 INTRODUCTION .
... triangle , as OAB , a straight line EF , parallel to the side A B , cut the other sides , OA in E and OB in F , then AB : EF :: OA : OE :: OB : OF . PROPOSITION 14 . “ A given finite straight line can 14 INTRODUCTION .
15 페이지
... triangle proportionally is parallel to the base of the triangle . " Let DE divide the sides A B , AC of INTRODUCTION . 15.
... triangle proportionally is parallel to the base of the triangle . " Let DE divide the sides A B , AC of INTRODUCTION . 15.
16 페이지
... triangle ABC proportionally , so that then AD : DB :: AE : EC , DE is parallel to BC . If possible , let DF be parallel to BC , E some other point than E ; then AD : DB :: AF : FC . But by hypothesis ( Prop . 13. ) AD : DB :: AE : EC ...
... triangle ABC proportionally , so that then AD : DB :: AE : EC , DE is parallel to BC . If possible , let DF be parallel to BC , E some other point than E ; then AD : DB :: AF : FC . But by hypothesis ( Prop . 13. ) AD : DB :: AE : EC ...
17 페이지
... 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 which they stand . " Let there be ...
... 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 which they stand . " Let there be ...
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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