The Elements of the True Arithmetic of Infinites

THE

ELEMENTS

OF THE

TRUE ARITHMETIC

OF

INFINITES.

IN WHICH ALL THE PROPOSITIONS

IN THE ARITHMETIC OF INFINITES

INVENTED BY DR. WALLIS,

RELATIVE TO THE SUMMATION OF INFINITE SERIES,

AND, ALSO,

THE PRINCIPLES OF THE DOCTRINE OF FLUXIONS

ARE DEMONSTRATED TO BE FALSE;

AND

THE NATURE OF INFINITESIMALS IS UNFOLDED.

BY THOMAS TAYLOR.

"A small farm, a frugal mind that does not lie, have been granted to me, and the ability to despise the malicious crowd." — Horace original: "Mihi parva rura, parca non mendax dedit, et malignum spernere vulgus."

LONDON:

PRINTED FOR THE AUTHOR,

AND TO BE HAD ONLY AT HIS HOUSE, NO. 9, MANOR-PLACE, WALWORTH.

1809.