require of the learner an explanation in his own terms, informing him, however, when they are improper.  By this method the scholar will become cautious and attentive, and the master will know with certainty the degree of his proficiency.  Yet, though this rule is generally right, I cannot but recommend a precept of Pardie’s[2], that when the student cannot be made to comprehend some particular part, it should be, for that time, laid aside, till new light shall arise from subsequent observation.

When this compendium is completely understood, the scholar may proceed to the perusal of Tacquet, afterwards of Euclid himself, and then of the modern improvers of geometry, such as Barrow, Keil, and Sir Isaac Newton.

3.  The necessity of some acquaintance with geography and astronomy will not be disputed.  If the pupil is born to the ease of a large fortune, no part of learning is more necessary to him than the knowledge of the situation of nations, on which their interests generally depend; if he is dedicated to any of the learned professions, it is scarcely possible that he will not be obliged to apply himself, in some part of his life, to these studies, as no other branch of literature can be fully comprehended without them; if he is designed for the arts of commerce or agriculture, some general acquaintance with these sciences will be found extremely useful to him; in a word, no studies afford more extensive, more wonderful, or more pleasing scenes; and, therefore, there can be no ideas impressed upon the soul, which can more conduce to its future entertainment.

In the pursuit of these sciences, it will be proper to proceed with the same gradation and caution as in geometry.  And it is always of use to decorate the nakedness of science, by interspersing such observations and narratives as may amuse the mind, and excite curiosity.  Thus, in explaining the state of the polar regions, it might be fit to read the narrative of the Englishmen that wintered in Greenland, which will make young minds sufficiently curious after the cause of such a length of night, and intenseness of cold; and many stratagems of the same kind might be practised to interest them in all parts of their studies, and call in their passions to animate their inquiries.  When they have read this treatise, it will be proper to recommend to them Varenius’s Geography, and Ferguson’s Astronomy.

4.  The study of chronology and history seems to be one of the most natural delights of the human mind.  It is not easy to live, without inquiring by what means every thing was brought into the state in which we now behold it, or without finding in the mind some desire of being informed, concerning the generations of mankind that have been in possession of the world before us, whether they were better or worse than ourselves; or what good or evil has been derived to us from their schemes, practices, and institutions.  These are inquiries which history alone can satisfy;