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An ellipse is the set of points such that the sum of distance from two fixed poin constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth

An ellipse is the set of points such that the sum of distance from two fixed poin constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Activity 4 A.) An ellipse is the set of points such that the sum of distance from two fixed point constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth
Transcribed Image Text:Activity 4 A.) An ellipse is the set of points such that the sum of distance from two fixed point constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth
B.) An ellipse is the set of points such that the sum of distance from two fixed point constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth
Transcribed Image Text:B.) An ellipse is the set of points such that the sum of distance from two fixed point constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth
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