Plane Geometry

Cover Plane Geometry
Plane Geometry
William Betz
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Construct a point which is equidistant from two given parallel lines and from a transversal to those lines.
13. Construct a circle which is tangent to a given line at a given point and has its center on a given line.
14. In the diagram let ABCD rep- resent a baseball diamond (square) ; It, a street ; H, a house ; E, a corner of the house ; S and T, two trees ; F, a fence ; P, a circular pond. How would you locate a person who is (a) equidistant from S and T and 5 yd. From CD ? (b) 10 yd. From R
... and 3 yd. From E ? (c) 3 ft. From P and 30 yd. From ? (d) equi- distant from R and Fl (e) equidistant from AB and C7), and from S and T1 (f) 20 yd. From AB and 5 ft. From F?
MISCELLANEOUS EXERCISES ON LOCI 1. What is the locus of the vertex of a triangle that has a given base and a given altitude ?
2. What is the locus of the vertex of the right angle of a right triangle which has a given hypotenuse ?
3. Find the locus of the vertex of a triangle which has a given base and a given vertex angle.


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