Frost P. — An Elementary Treatise on Curve Tracing :: Электронная библиотека попечительского совета мехмата МГУ

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Frost P. — An Elementary Treatise on Curve Tracing

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Название: An Elementary Treatise on Curve Tracing

Автор: Frost P.

Аннотация:

Accessible treatment explores parabolic curves at an infinite distance, curves in the neighborhood of the origin, forms of branches whose tangents at the origin are the coordinate axes, more

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Fourth Edition

Год издания: 1918

Количество страниц: 210

Добавлена в каталог: 09.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Analytical Triangle      117—122 171 193
Approximation rules at multiple point      45 49 51 54
Approximation rules at point of inflexion      42 48 49
Approximation rules examples of      34
Approximation rules for      33
Approximation rules to asymptotes      79—82 88—95
Approximation rules to tangents      15 39 44
Asymptotes      5 23 68 69 193
Asymptotes curvilinear      107 108
Asymptotes determination by approximation      79—82
Asymptotes determination of      74
Asymptotes how curve approaches      81 91 92
Asymptotes inflexional      72
Asymptotes not parallel to axes      88—92
Asymptotes parabolic      64 65 93 108
Asymptotes parallel      95 98
Asymptotes parallel to axes      80
Asymptotes quasi      69 108
Auxiliary equation      29
Beer, A.      152
Change of origin      3 137
Compartments method of      143
Conjugate points      5 51 53 135
Cubic equation, graphical solution of      32
Curvature      17 40
Curvature at multiple point      54
Curvature circle of      18 41 43
Curvature conic of      40 41
Curvature diameter of      18 41 44
Curvilinear asymptotes      5 69 93 107
Cusp      5 15 135
Cusp keratoid      5 13 16 51
Cusp ramphoid      5 16 51
de Gua’s Analytical Triangle      58 61 117
Degeneration of curves      24 83 135
Degree of a curve      23
Des Cartes’ Rule of Signs      195 196
Double points      45 85
Double points at infinity      95 98
Guiding asymptote      5 62 69 108
Homogeneous curves      100
Homogeneous curves asymptotes to      100
Inflexion point at infinity      72 97

Inflexion point of      5 15 22 30 31 42 48 49
Isolated portions of a curve      149
Keratoid cusp      5 13 16 51
Method of compartments      143
Method of compartments of partial curves      200
Multiple points      5 45 54 134
Multiple points at infinity      72 80 95 98
Multiple points determination of      85 137
Newton’s Lemmas      16
Newton’s Lemmas Parallelogram      58 117
Newton’s Lemmas Principia      1
Orders of quantities      9 58 79
Origin, change of      3 137
Origin, change shape of curve near      39 45 58
Osculating branches of curve      55
Parabola, semicubical      21 24 64 65 108
Parabolic asymptotes      64 65 93 108
Parabolic asymptotes curves      12 20
Point, conjugate      5 51 53 135
Point, conjugate double      45 85 95 98
Point, conjugate multiple      5 45 54 134
Point, conjugate of inflexion      5 15 22 30 31 42 48 49
Point, conjugate of osculation      5
Point, conjugate singular      5 137
Points of intersection at infinity      69 80 97
Quarterly Journal      135
Quartic equation, graphical solution of      33
Quasi-asymptote      69 108
Ramphoid cusp      5 16 51
Repeating curves      177
Semicubical parabola      21 24 64 65 108
Singular points      5 137
Solution of equations      32
Solution of equations of tan x = x      35
Special curve of fourth degree      152
Symmetry      7 133
tangents      15 16 39
Tangents approximations to      15 39 44
Theory of equations      29
Triangle the Analytical      117—122 171 193
Trigonometric functions, graphs of      28
Trigonometric functions, graphs of curves whose equations involve      177
Walker and Walton      135
Wolstenholme, J.      142

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