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ELEMENTS OF GEOMETRY.
BY THE AUTHOR OF
"A NEW INTRODUCTION TO THE MATHEMATICS."
WHITTAKER & Co. AVE MARIA LANE.
THE author was induced to undertake the following investigations, partly by inferences which were in a manner forced upon him from Euclid's own propositions; secondly, with a view to supply a general proposition wherever Euclid gives only particular ones up to a limited extent; and, finally, to provide full demonstrations for such geometrical propositions as have been assumed as true by mathematicians without demonstration : perhaps because they thought them too evident to require it, or for some other reason not equivalent to a good demonstration; which desultory method of some mathematicians is obstructive of the advance of science; for if some propositions may be received without the usual strict demonstration, why may not others, or why does any proposition require it?