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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 81

An illustration from Plane and solid geometry, 1912, leaf 81
ction 1. Draw a line through P cutting AB at some point, as R. 2. AYith P as vertex and PS as side, construct Z. YPS =Z BRP. § 125. 3. XY will be II AB. II. The proof and discussion are left as an exercise for thestudent. Ex, 196. Through a given point construct a parallel to a given line by using… … Given I| lines AB and CD cut by the transversal EF at pointsG and H. To prove Z.AGH=Z.DHG. Argument 1. Either /.AGH=z /.dhg, or AAGH^ Z.DHG. 2. Suppose Z^Gff=5fcZi)ir(?, but that line XY,through (?, makesZXGH= /.DHG. 3. Then XY \\ CD, 4. But AB II CD, 5. It is impossible that AB and XF both are ||…

Geometry, Plane · Geometry, Solid

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