Plane And Solid Geometry

Cover Plane And Solid Geometry
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(Locus 7, §239. ) Construction is made so as to obtain the loci mentioned in steps 3 and 4. The circle cuts the line BS at two points (7i and 02. A ACiB and A AC2B each sat- isfy the given conditions.
Proof and Discussion left to the pupil.
Ex. 142. Given the base and altitude of an isosceles triangle, construct the triangle.
Ex. 143. Construct an isosceles triangle having given the base and the radius of the circumscribed circle.
Ex. 144. Construct a rhombus having given its base and altitude.
...
Ex. 145. Construct a right triangle having given the hypotenuse and the length of the altitude upon it.
Ex. 146. Construct an isosceles triangle having given the base and the angle opposite the base.
LOCI 137 Ex. 147. Construct a triangle having given the base, the altitude, and the radius of the circumscribed circle.
Ex. 148. Construct a triangle having given a side, an adjacent angle, and the radius of the circumscribed circle.
Ex. 149. Through a given point construct a circle with a given radius which shall be tangent to a given line.


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