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TO THE

TUTORS IN THE UNIVERSITIES,

MASTERS OF ACADEMIES,

A N D

OTHER

TEACHERS or GEOMETRY,

IN GREAT-BRITAIN.

I

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GENTLEMEN,
T is probable that many of you, as well as myself,

have found it frequently difficult to initiate young Gentlemen into a necessary Acquaintance with Geometry by the Elements of Euclid, and therefore have wished for a more easy Introduction to that valuable Science, which, at the same time as it facilitated the Attainment of Geometry, might not depart (as many do) too much from the geometrical Spirit of the Ancients, which is so neceffary for acquiring a Habit of reasoning with Propriety and Judgement.

Such a Treatise, with its Application to Trigonometry, I have now attempted, and beg Leave to offer to the Public, under your Protection; and, if it should be so far approved of, by you, as to be put into the Hands of your Pupils, I Aatter myself you will find the Science will be acquired by them in much less Time than is usual, and with greater Ease to yourselves. If this meets with your Encouragement, it will induce me to pursue my original Design, of presenting the Public with other Essays, for rendering the several Branches of mathematical Litera. ture, both ancient and modern, more pleasant in the Study, and more easily to be attained, than by any other Course, hitherto published, in our Language.

I am, Gentlemen,
Kingston, near Taunton,
July 5, 1775.

Your bumble Servant,

B. DONN.

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THE P R E F A C E.

I

N the general Preface to the Essays on Arithmetic, acquainted with our Design of presenting them with a new Course of mathematical Learning, a Thing generally allowed to be much wanted : * For the great and numerous Improvements, which have been made since any Course has been published in the English Language, make a new Course absolutely necessary. For, as those Sciences, with their Improvements, are dispersed in a Multitude of Authors, the young Student knows not how to proceed; and, even to a Master, it is no easy Talk to direct : Whereas, if these Sciences are brought into a regular Course, as they depend on each other, the Student will learn with more Ease, Pleasure, and Dispatch.

As

* “ Mathematical Learning, during the last and present ! Centuries, has made a most surprizing Progress ; and Truth, " affifted by the uncontroverted Principles of this Science, has to banished 'hypothetical Chicanery from the Regions of Philo" sophy. It is, therefore, no wonder that a great Variety of Authors, desirous of extending so valuable a Branch of Sci“ ence, should have written on every part of mathematical " Learning. But still a Course of Mathematics and Natural!' Philosophy, tracing the Science from its first Principles, and exhibiting the Demonftrations on which each Rule or Problem so is founded, is still wanting; there being none, in our own Language, that can, with any Show of Justice, be called a “ Course of Mathematics and Natural-Philosophy, according " to the modern Improvements, and properly adapted to Learn66 ers. This Defect Mr. Donn has undertaken to supply." MONTHLY Review for July, 1758.

Trigonometry, with their Application to Altimetry and
Longimetry. For a more circumstantial Account of
the Contents of this Volume, we beg Leave to refer
the Reader to the Titles and Prefaces to the several
Effays.

B. DON N.

Fust published,
(From the AUTHOR'S MANUSCRIPT,)
1. A S E R M 0 N,
Preached at the Funeral of Mr. ABRAHAM Donn,

By the late pious and ingenious
JAMES HERVEY, M. A.
Rector of Weston-Favel, in Northamptonshire, and Author of the

MEDITATIONs and CONTEMPLATIONS.

Printed for B. LAW, in Ave-MARIA-Lane,

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Si numeris in ratione geometrica progredientibæs
subscribantur totidem alii æquidifferentes; di-
cuntur hi illorum Logarithmi.

WOLFIUS, Elem. Arith.

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