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A

NEW SUPPLEMENT

TO

EUCLID'S

ELEMENTS OF GEOMETRY.

BY THE AUTHOR OF

“ A NEW INTRODUCTION TO THE MATHEMATICS."

LONDON:

WHITTAKER & Co. AVE MARIA LANE.

1840.

881.

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PRE FACE.

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?

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