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The teaching of geometry (1911)

Smith, David Eugene, 1860-1944 · Boston, New York [etc.] Ginn and Company · leaf 230

An illustration from The teaching of geometry, 1911, leaf 230
in themiddle of the pagerepresents two streets,AP and BQ, thatwould, if pro-longed, intersectat C. It is re-quired to con-struct an arc so that they shall begin to curve at P and Q, whereCP— CQ, and hence the center of curvature 0 must be found. LEADING PROPOSITIONS OF BOOK II 219 … The problem is a common one in railroad work, only here APis usually oblique to BQ if they are produced to meet at C, as inthe second figure on page 218. It is required to construct anarc so that the tracks shall begin to curve at P and Q, whereCP = CQ. The problembecomes a littlemore…

Geometry

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