Pennsylvania Route 343 highway remained intact for another seven years, and in 1970, PA 343 was realigned for the final time, this time onto its current alignment. The northern terminus is now at a partial interchange with I-78. Pennsylvania Route 343 Pennsylvania Route 343 (PA 343) is an route between Lebanon and Fredericksburg in Lebanon County, Pennsylvania. It begins at PA 72 and ends at Exit 6 of Interstate 78 (I-78). PA 343 heads mostly through urbanized areas near Lebanon before continuing into rural areas further north. There is a concurrency with U.S. Route 22 (US 22) near the northern terminus. PA 343
Doubling the cube was the discovery by Hippocrates of Chios that it is equivalent to finding two mean proportionals between a line segment and another with twice the length. In modern notation, this means that given segments of lengths and , the duplication of the cube is equivalent to finding segments of lengths and so that In turn, this means that But Pierre Wantzel proved in 1837 that the cube root of 2 is not constructible; that is, it cannot be constructed with straightedge and compass. Menaechmus' original solution involves the intersection of two conic curves. Other more complicated methods of doubling the