Elements of Analytical Geometry: Embracing the Equations of the Point, the Straight Line, the Conic Sections and Surfaces of the First and Second Order

A. S. Barnes & Company, 1847 - 352 páginas

BOOK I	13

Fourth proportional to three lines	19

To construct a rectangle having given the surface and the difference	27

Distance between two points	38

Equation of a line defined	40

Constants and variables defined	56

Coordinates and coordinate axes	65

Equations of a point in the four angles	73

Of the Parabola	140

Discussion of equation	145

Of the Parabola referred to Oblique Coordinates	153

Polar equation of the parabola	158

BOOK VI	164

Squares of the ordinates as the rectangles of the segments	172

Lines drawn to the foci make equal angles with the tangent	179

Difference of squares of conjugate diameters equal to difference	189

Título	Elements of Analytical Geometry: Embracing the Equations of the Point, the Straight Line, the Conic Sections and Surfaces of the First and Second Order
Autor	Charles Davies
Edição	revisada
Editora	A. S. Barnes & Company, 1847
Original de	Universidade de Illinois em Urbana e Champaign
Digitalizado	26 fev. 2015
Num. págs.	352 páginas

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Origin in the circumference	81

Equation of a tangent line	88

Polar Equation of the Circle	91

Classification of the curves	95

Equation of the ellipse	97

Squares of the ordinates as the rectangle of the segments	103

Ellipse referred to its Conjugate Diameter	113

Definition of conjugate diameters	119

All diameters are parallel	125

Form of the general polar equation	139

Of the Centres and Diameters of Curves	241

BOOK VIII	250

Length of the perpendicular	289

Transformation of Coordinates in Space	297

BOOK IX	303

Equation of the surface of a cone	311

Discussion of equation of second degree	322

Classification of surfaces	329

Third species	336

General results	343