kind of piracy may foon be detected by varying the work of the queftions according to the nature of tho feveral rules.) odt nogy tud op alon Cum sa fem edt vd belt.org But my fole motive for undertaking purely for the inftruction and benefit of the 17379 fo I hope every impartial reader will judge with, candour of the merits of this performance; and if it meets with their approbation, I shall not think I have fpent fo much labour in vain, but rejoice at having done any thing for the fervice and good of my country. 15 1 I hope my readers will excufe all defects, and correct what errors they may occafionally find herein; which will be effeemed a particular favour guy to ab nor I have nothing further to add, but, a return of my! fincere thanks to all thefe Gentlemen, whofe kind approbation and encouragement have now eftablifhed the ufe of this Book, and favoured me with their judicious remarks and fignaturest durer of sd i atein Bojdit dout oral fool of we adquet nood yhemic Jodie goi1panties of mono strup lobe vorm 1637 8 91 91 di tud you sit deuordi oda with the utmost esteem, most obliged, obedient, humble Servant, bit f > IT 26 low 2. W. TAYLOR, BIRMINGHAM 1 3 Plus, or more; the fign of addition'; as, 3+4, is 3 added to 4. The fign of multiplication; as, 3X4, is 3 multiplied by 4. Is likewife a note of multiplication, and sometimes used for X. The fign of equality; as a=8, is a equal to 8. The fign of arithmetical proportion; as 36 :: 4 : S; is 3 to 6 fo is 4 to 8. The fign of geometrical proportion. or 7 The fign of majority; as ab, fignifies a is greater than 6. or The fign of minority; as ab, fignifies a is less than b. The fquare root; as, 16, is the fquare root of 16. 3 The cube root; as, 8, is the cube root of 8. This character fometimes affects feveral quantities, diftinguished by a line drawn over them; thus, vb+d, denotes the fquare root of the fum of b and d. + Signifies that the number denoted by z is to be added to 1, and the fum fquared. +3; that in is to be raised to the third power, or cubed, &c. SYSTE M OF Practical Arithmetic. PART I. BOOK I. DEFINITION S. ARITHMETIC is the art of computing by numbers; it is called Vulgar or Common Arithmetic, when it treats of whole numbers. Unit is any thing confidered as one, or 1, and is the beginning of number. S Number is a multitude of units; by this every thing is reckoned. A whole Number is a precife number, without any parts annexed. A mixed Number is a whole number, with fome part annexed. A Fraction is a part or parts of a unit. A proper Fraction is less than a unit. An improper Fraction is greater than a unit. An aliquot Part is that which is contained a precise number of times in another. An aliquant Part is fuch as is contained in another, fome number of times, with fome part or parts over. A prime Number is that which can only be measured by a unit. Numbers are faid to be prime to one another, when only a unit meafures both. These are alfo called co-primes. A perfect Number is that which is equal to the fum of all its aliquot parts. Integers, or whole Numbers, are fuch as express a number or multitude of things, whereof each is confidered as a unit. Thus 4 tons 6 yards, 20 miles, &c. each of which is called an integer, or whole number. Compound Numbers are fuch as confift of different denominations, as tons, hundreds, quarters, pounds, ounces, &c. Thus 12 T. 3 C. I qr. 12lb. &c. Arithmetic, with regard to art and science, confifts both in theory and practice. Theory confiders the nature and quality of numbers, and demonstrates the reafon of practical operations. B The |