The latitude and longitude of a point in the Northern Hemisphere are related to spherical coordinates , , as follows. We take the origin to be the center of the earth and the positive -axis to pass through the North Pole. The positive -axis passes through the point where the prime meridian (the meridian through Greenwich, England) intersects the equator. Then the latitude of is and the longitude is . Find the great-circle distance from Los Angeles (lat. N, long. W) to Montréal (lat. N, long. W). Take the radius of the earth to be 3960 mi. (A great circle is the circle of intersection of a sphere and a plane through the center of the sphere.)

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.