An elementary treatise on geometry : simplified for beginners not versed in algebra (1833)
Grund, Francis J. (Francis Joseph), 1805-1863 · Boston : Carter, Hendee & Co. · leaf 33
, AB, CD, tobe cut by a third line, MN, soas to make the alternate an-gles AEF and EFD, or theangles BEFand EFC, equal,what relation would the linesAB, CD, then bear to each other ? A. TJiey vwuld still be parallel, Q. How can you prove this 1 A. If the angle AEF is equal to the angle EFD,… … GEOAtETRY. 29 fore, in both cases, there are two straight lines cut by athird line at equal angles; consequently they are parallelto each other. Q. There is one more case, and that is : If the twostraight lines AB, CD (in our last figure), are ait hy athird line MN, so as to make the sum of the two…
Geometry, Plane
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