Page:Willich, A. F. M. - The Domestic Encyclopædia (Vol. 1, 1802).djvu/126

102] conceived, and to be one of those few sciences which have left little room for farther improvement. It is, however, a serious and almost general complaint, that few children, while at school, make any tolerable progress in arithmetic; and that the generality, after having spent several years under the tuition of a master, are incapable of applying the few rules which they may have learned, to the useful purposes of life. A little reflection will suffice to convince us, that not much benefit is to be derived from the usual mode of instruction. A few elementary principles are acquired by rote, and therefore quickly forgotten; because the most essential particulars, viz. the reasons on which these rules are founded, and their extensive use in the various concerns of society, are generally omitted. Teachers, as well as writers, cannot be wholly exempted from the charge of having, in some degree, contributed to this evil; for, by stating the rules without their corresponding reasons, they act upon mechanical principles, and thus encourage the idea, that demonstrations in every instance are useless, and in some, impossible.

Every young arithmetician should remember, that before he forms any particular question or numerical proposition, it is absolutely necessary to consider whether the terms be directly proportionate to each other; for otherwise he will be liable to commit gross errors. Although in buying and selling, the price increases or decreases in the same relative proportion as the quantity of goods, yet in geometry, natural philosophy, &c. those things which at first sight appear to be in simple proportion to each other, may, on a mature investigation, prove the contrary. Previously, therefore, to the solution of questions respecting these sciences, he should be made acquainted with those elementary principles on which they are founded.

Another material error committed in the inferior schools, is the admission of boys under the age of ten or twelve, often for the sake of early fees, though they are incapable of being instructed by reasoning with them. Hence we are decidedly of opinion, that this is one of the negative, modern improvements; and that the earliest period of fixing the attention of youth on scientific objects, is, according to their individual capacities, from the twelfth to the fifteenth year of their age.

Among the latest, and most instructive works on this subject, we enumerate the following:—"An Introduction to Arithmetic and Algebra;" by T., two volumes, 8vo. 10s. boards. Rivingtons, 1798.—"Arithmetical Questions, on a New Plan;" by W., 8vo. edit. 2d. 4s. boards. Dilly, 1797.—"The Arithmetician's Guide;" by W., 12mo. 2s. 6d. bound. Baldwin, 1788.

See also, and.  Arnica montana, L.—See.  AROMATIC, an epithet given to such substances as yield a strong fragrant smell, and impart a warm taste. In this class are included the various spices, such as nutmegs, cloves, cinnamon, mace, &c. Some of them have a sweetness mixed with their aromatic principle; such as the angelica root, anise seed, and fennel; some are