Original Exercises in Plane And Solid Geometry

Cover Original Exercises in Plane And Solid Geometry
Original Exercises in Plane And Solid Geometry
Conant Levi Leonard
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Construct three equal circles such that each shall be tangent externally to the other two, and to a given circle.
364. Construct three equal circles such that each shall be tangent externally to the other two, and internally to a given circle.
CONSTRUCTIONS 53 365. In a square ^j?0[Z>, construct an equilateral tri- angle AEF so that E^ F^ shall lie on sides of the square.
Construct a triangle^ given : — 366. Two sides, and the median on the third side.
Hint. Consider the problem solved. Then co
...mplete the parallelo- gram.
367. The base angles, and the median on the included side.
368. An angle, and the median and the altitude drawn from the vertex of the given angle to the opposite side.
Hint. In the completed parallelogram, note the relation which exists between the given angle and the angles adjacent to it.
369. The median on one of the sides, and the angles made by the given median with each of the other sides.
370. An angle, the altitude on the side opposite, and the median on one of the remaining sides.


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