On the Analytical Representation of Direction: An Attempt Applied Chiefly to Solving Plane and Spherical Polygons, 1797Kgl. Danske Videnskabernes Selskab, 1999 - 143 Seiten |
Inhalt
Preface | 5 |
4 | 22 |
6 | 33 |
7 | 44 |
8 | 52 |
Wessels Work on Complex Numbers and its Place in History | 59 |
by Kirsti Andersen | 65 |
9 | 69 |
Wessels On the Analytical Representation of Direction | 71 |
Complex numbers from Wessel to the midnineteenth century | 81 |
Conclusion | 94 |
Plane and Spherical Polygons | 101 |
On solving spherical polygons | 119 |
Figures | 135 |
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Häufige Begriffe und Wortgruppen
acute algebraic Argand assumed axis Bombelli calculations Caspar Wessel Cauchy Christiania Christopher Wessel complex numbers Copenhagen cos(n cosine cot(n Danske Videnskabernes Selskab Denmark denoted determined deviates directed line segments equation figure formula første fundamental theorem Funen Gauss geographical geometric interpretation geometric representation Georg Christian Oeder hence horizontal Johan Herman Wessel KDVS Kirsti Andersen København Kongelige Danske Videnskabernes Landmaaler length line segments longitude Luxdorph mathematical mathematicians measured Member of KDVS meridian Morville multiplied n+VI Niels Norske Selskab Nye Samling Observatory obtuse Oldenburg Oslo paper parallel circle perpendicular plane positive principal-line quantities radius rectilinear polygon right angles roots Rosenlund Selskabets Servois side sin(n+ sine Sophus Lie sphere spherical polygon straight line surveyor tangent Tetens Thomas Bugge tion transcript treatise triangular trigonometrical points trigonometrical surveying vertical Vestby Videnskabernes Selskabs Skrifter Viggo Brun x+ny