The Elements of a New Method of Reasoning in Geometry

a New Method of Reasoning
applied to the rectification of the circle.

by Thomas Taylor

–Nec altum sapiamus, nec ultra sobrium, sed veritatem in charitate colamus.

Printed for the Author; and Sold by J. Denis and Son, № 2, New Bridge-Street, Black-Friars. MDCCLXXX.

[Price Two Shillings and Six-pence.]


Page 7. Line 5. Instead of “the X Arch,” read “the Arch,”


The Author of the following small Tract is not ashamed to confess, that it has been the employment of his leisure hours for a considerable time. If he has failed in the execution, he can, however, safely affirm he has not been wanting in the most earnest endeavours towards the completion of his purpose. He considered that the object of his search and enquiry, although arduous, was at the same time glorious, and that the Discovery of Truth is always a sufficient recompense for the difficulty attending its Investigation. As he cannor, by the most impartial scrutiny, detect any false Reasoning in his Demonstrations, he flatters himself they will not be found altogether destitute of support, nor wholly unworthy the {iv} approbation of the Public. However, sensible of his own weakness, he would not too confidently presume on success, since in this case the desire is not sufficient to obtain.

In short, animated by a sincere Love of Truth, he flatters himself the integrity of his Intentions will in some measure atone for his want of greater genius and abilities.

Indeed, as an elegant Writer observes, since Mediocrity is now become a Proection, he has probably obtained that protection in spite of himself. He only adds (with the same Author) and would with the Reader to remember, that while Error sinks into the abyss of forgetfulness, Truth alone swims over the vast extent of ages.