...interesting locus is illustrated in the following problem, which the student should solve carefully : Find the locus of a point the difference of whose distances from two fixed points is always constant. F' FIG. 235 SUGGESTION. On your paper take the two fixed points F and F' 3 in. apart,...

...0), and as the constant sum, 2o. e. The Biparted Hyperboloid of Revolution. Derive the equation of the locus of a point the difference of whose distances from two fixed points is equal to a constant. Foi the solution follow the suggestion under d. 2. Locus of a Moving Line. Ruled...

...the locus of points on the sphere such that the sum of the two great circle arcs which join them to two fixed points is constant. The two fixed points are called the foci of the ellipse. Let us consider two such ellipses which have one focus in common and the other foci at the...

...the locus of points on the sphere such that the sum of the two great circle arcs which join them to two fixed points is constant. The two fixed points are called the foci of the ellipse. Let us consider two such ellipses which have one focus in common and the other foci at the...

...discussed in the following Sections. « 4.6 ELLIPSE The ellipse is defined as the locus of a point, the sum of whose distances from two fixed points is constant. The two fixed points Fl and F2 are called the foci of the ellipse as shown in Fig. 4.28. If M and C are any two points on...

...frequency) and marking these with a tennis-court line marker. METHOD 5 A hyperbola may be defined as the locus of a point, the difference of whose distances from two fixed points (the foci) is a constant. As might be expected, a device may be constructed somewhat simiiar to that...

...discussed in the following Sections. 4.6 ELLIPSE The ellipse is defined as the locus of a point, the sum of whose distances from two fixed points is constant. The two fixed points F¡ and F2 are called the foci of the ellipse as shown in Fig. 4.28. If M and C are any two points...

...Ellipse. An interesting property of an ellipse is that the sum of the distances of any point on the curve from two fixed points is constant. The two fixed points are called the foci, each being called a, focus. In the above diagram P and Q are the foci. In this diagram XP + XQ is always...

...a focus of the ellipse. An ellipse may be defined as the locus of a point such that the sum of its distances from two fixed points is constant. The two fixed points are then the foci of the curve. An ellipse may be very easily drawn in the following way. In a sheet of...