Analytic GeometryD.C. Heath & Company, 1915 |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα vi
... . The Equation of the Parabola . 54. Discussion of the Equation 55. Latus Rectum 56. To Draw a Parabola . 57. Mechanical Construction of the Parabola 77 77 78 79 79 80 SECTION 58. The Parabola as a Conic Section 59. The vi CONTENTS.
... . The Equation of the Parabola . 54. Discussion of the Equation 55. Latus Rectum 56. To Draw a Parabola . 57. Mechanical Construction of the Parabola 77 77 78 79 79 80 SECTION 58. The Parabola as a Conic Section 59. The vi CONTENTS.
Σελίδα vii
... Conic Section . CHAPTER VII - TRANSFORMATION OF COÖRDINATES AND SIMPLIFICATION OF EQUATIONS 84. Change of Axes 85. Formulas of Translation 107 : 107 92. General Statement SECTION 86. Formulas of Rotation 87. Application CONTENTS vii.
... Conic Section . CHAPTER VII - TRANSFORMATION OF COÖRDINATES AND SIMPLIFICATION OF EQUATIONS 84. Change of Axes 85. Formulas of Translation 107 : 107 92. General Statement SECTION 86. Formulas of Rotation 87. Application CONTENTS vii.
Σελίδα viii
... Conic 99. The Conic through Five Points CHAPTER VIII POLAR COÖRDINATES 100. Definition · 127 101. Relations between Rectangular and Polar Coördinates . 128 102. Polar Curves • 103. The Equation of the Straight Line 104. The Equation of ...
... Conic 99. The Conic through Five Points CHAPTER VIII POLAR COÖRDINATES 100. Definition · 127 101. Relations between Rectangular and Polar Coördinates . 128 102. Polar Curves • 103. The Equation of the Straight Line 104. The Equation of ...
Σελίδα ix
... Conic 144. Conjugate Diameters of the Ellipse 145. Conjugate Diameters of the Hyperbola . CHAPTER XI - SOLID ANALYTIC GEOMETRY 168 . 169 . 171 · 171 172 • 174 175 • 176 178 . 179 146. Introduction · 147. Coördinates 148. Radius Vector ...
... Conic 144. Conjugate Diameters of the Ellipse 145. Conjugate Diameters of the Hyperbola . CHAPTER XI - SOLID ANALYTIC GEOMETRY 168 . 169 . 171 · 171 172 • 174 175 • 176 178 . 179 146. Introduction · 147. Coördinates 148. Radius Vector ...
Σελίδα 77
... conic . The fixed point is called the focus and the fixed line the directrix . The line through the focus perpendicular to the directrix is called the principal axis . The constant ratio is called the eccentricity and is represented by ...
... conic . The fixed point is called the focus and the fixed line the directrix . The line through the focus perpendicular to the directrix is called the principal axis . The constant ratio is called the eccentricity and is represented by ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
9 y² a² b2 a²b² a²y² abscissa analytic geometry angle asymptotes b²x² called circle common chord conic conjugate hyperbolas constant coördinate axes cos² cosines curve cycloid defined Derive the equation determined directrix distance draw ellipse equa Exercise Find the coördinates Find the equation Find the locus fixed point focal radii foci focus formula generatrix geometric given equation Hence intercept form latus rectum length limaçon linear equations logarithmic origin P₁ pair parabola parameter parametric equations passing perpendicular polar axis polar coördinates positive principal axis Problem Prove radical axis radius rectangular coördinates rotation Show sin² slope Solution Solving standard form straight line Substituting subtangent surface surface of revolution symmetrical with respect symmetry table of values tangent theorem tion transform triangle variables vertex vertices Write the equations x-axis x₁ y-axis y-intercept y₁
Δημοφιλή αποσπάσματα
Σελίδα 88 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Σελίδα 16 - The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the mid-points of the diagonals.
Σελίδα 174 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Σελίδα 75 - Conic, is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line.
Σελίδα 16 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of ' one of those sides and the projection of the other side upon it.
Σελίδα 25 - A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant.
Σελίδα 99 - The hyperbola is a plane curve generated by a point moving so that the difference of its distances from two fixed points, called the "focuses,
Σελίδα 47 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...
Σελίδα 16 - The sum of the squares of the four sides of a parallelogram is equal to the sum of the squares of the diagonals.
Σελίδα 16 - THEOREM 422. In any triangle the sum of the squares of two sides is equal to twice the square of half the third side, increased by twice the square of the median on that side.