Plane Geometry

Cover Plane Geometry
Plane Geometry
Herbert E Herbert Edwin Hawkes
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How is B C drawn? AKt BL1 180. Through one vertex of a triangle draw a line equidistant from the other two vertices. Discuss.
181. Given AB and A C, two intersecting lines, and K any point within the angle BAC. Draw through K a line terminated by AB and A C and bisected by K.
182. Given the triangle ABC. Find by construction one or more points on its circumscribed circle without using its center or its radius.
BOOK II 151 245. General directions for solving a locus problem. The complete solutio
...n of a locus problem which is not at once obvious involves two distinct processes: - 1. The drawing of a good figure and locating, as accurately as possible, enough points which answer the requirements to indicate the position and character of the lines composing the desired locus.
Step 1 is really a matter of experiment and discovery, and while it is of the utmost importance, the description of its details is not required in any written or oral solution of a problem.
2. The drawing of the locus discovered in step 1, the assertion that the line or the system of lines so drawn is the locus, and the proof of the assertion.


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