Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 215
tercept equal arcs on a circle. The converse of this proposition has an interestingapplication in outdoorwork. Suppose we wish to runa line through P parallelto a given line AB. Withany convenient point 0 as acenter, and OP as a radius,describe a circle cuttingAB in X and Y. Draw PX.Then with Y as… … LEADING PROPOSITIONS OF BOOK II 205 Theorem. If two circles are tangent to each other, theline of centers passes through the point of contact. There are many illustrations of this theorem in prac-tical work, as in the case of cogwheels. An interestingapplication to engineering is seen in the case…
Geometry
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