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" F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point... "
Practical Geometry and Graphics - Σελίδα 20
των David Allan Low - 1912 - 448 σελίδες
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Elementary Course of Geometry ...

Charles William Hackley - 1847 - 248 σελίδες
...difference of the sides equal to a given line. 35. To find a point such that the sum of the squares of its distances from two given points shall be equal to a given square. D PROBLEMS. PROBLEM I.* To bisect a given line AB. FROM the two centers A and B, with any equal...

Dublin examination papers

Dublin city, univ - 1864 - 324 σελίδες
...of ratios can be compounded into a single ratio. 17. Find a point in a given line, such that the sum of its distances from two given points shall be equal to a given line. 1 8. State Euclid's twelfth axiom, Book I., and the use which he makes of it. Show that the following...

Elements of Analytic Geometry

George Albert Wentworth - 1887 - 264 σελίδες
...parallel to the axes of co-ordinates, and the centre is the point [ -- < — — - V \ 2A 2.BJ 162. To find the locus of a point which moves so that the ratio of its distances from a fixed point and a fixed straight line is constant and less than unity. E Let c denote the constant...

Elements of Geometry

George Cunningham Edwards - 1895 - 328 σελίδες
...sphere which is tangent to a given plane, and the surface of which passes through a fixed point. 90. Find the locus of a point which moves so that the ratio of its distances from a fixed point and from a fixed plane is constant and less than 1. 91. Find the locus of points, the...

An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - 1898 - 458 σελίδες
...HYPERBOLA Special Equation of the Second Degree Ao? — By* 115. The hyperbola defined. An hyperbola is the locus of a point which moves so that the ratio of its distance from a fixed point, called the focus, to its distance from a fixed line, called the directrix,...

Journal of the Asiatic Society of Bengal, Τόμος 69

1901 - 538 σελίδες
...from a certain point •within the circle to the boundary is constant. A circle may also be defined as the locus of a point which moves so that the ratio of its distances from two fixed points is constant. This proposition has been proved as prop. 4 of the Theorems and Examples...

Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...sides of a trapezium divides the other two sides (or those sides produced) proportionally. Ex. 18O2. Find the locus of a point which moves so that the ratio of its distances from two intersecting straight lines is constant. Ex. 18O3. Through a given point within a given angle draw...

Calendar, for the Year ...

1905 - 212 σελίδες
...triangle and having the vertical angle equal to one of the angles of a given triangle. 6. * A. point moves so that the ratio of its distances from two given points is constant ; show that its locus is a circle. 7. *If from a given point S, a perpendicular SY be drawn...

The New International Encyclopaedia, Τόμος 7

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1906 - 892 σελίδες
...the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point, called the focus, to its distance from a fixed line (DD'), called the...

The New International Encyclopæeia, Τόμος 7

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1909 - 886 σελίδες
...the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point, called the focus, to its distance from a fixed line (DD'), called the...




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