## Elements of Analytical Geometry, and of the Differential and Integral Calculus |

### Other editions - View all

Elements of Analytical Geometry, and of the Differential and Integral ... Gerardus Beekman Docharty No preview available - 2017 |

Elements of Analytical Geometry and of the Differential and Integral Calculus Gerardus Beekman Docharty No preview available - 2019 |

### Common terms and phrases

a²+x² abscissa algebraic Anthon's asymptote axis of x becomes called centre circle co-ordinate planes conjugate diameters constant cosine cuts the axis cycloid d²u d³u denoted distance drawn dx dx dx² dx²+dy² ellipse equa equal to zero exponent expression f(x+h find the equation Find the value Formula fraction frustum function gent given line given point hyperbola increment infinite integral intersection limit line in space line passing logarithm logarithmic spiral multiply Naperian negative obtain ordinate origin parabola parallel perpendicular plane xz point of tangency point whose co-ordinates polar equation PROPOSITION quantity radius of curvature radius vector rectangular axes referred to rectangular second differential coefficient Sheep sine solid of revolution spiral square straight line Substituting subtangent Subtracting tangent line Taylor's Theorem tion transverse axis triangle u=log variable vertex

### Popular passages

Page 307 - The Greek Testament: with a critically revised Text; a Digest of Various Readings; Marginal References to verbal and Idiomatic Usage; Prolegomena; and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers, By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.

Page 26 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.

Page 93 - A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line.

Page 117 - V )T whence by reducing to a common denominator _j* _v^s — *^u /i\ that is, the differential of a fraction is equal to, the denominator into the differential of the numerator, minus the numerator into the differential of the denominator, divided by the square of the denominator.

Page 42 - THEOREM. The parameter of any diameter is equal to four times the distance from the vertex of that diameter to the directrix, or four times the distance from the vertex to the focus. Y...