Note. The chain made use of in measuring land, com monly called Gunter's chain, is 4 poles, or 22 yards in length, and consists of 100 equal links, each link being of a yard=.66 of a foot, or 7.92 inches long. An acre of land is also equal to 10 square chains; that is, 10 chains in length, and 1 in breadth; or it is 4840 square yards, or 160 square poles, or 100,000 square links. To find the area of a regular polygon, To find the diameter and circumference of a circle, To find the area of a sector of a circle, To find the area of a segment of a circle, To find the area of an irregular polygon, Promiscuous questions of lines and areas, OF THE ULLAGING OF CASKS. To find the ullage by the Sliding Rule, .... To ullage a standing cask by the pen, To ullage a lying cask by the pen, Of Guaging Casks by their mean diameters, A TREATISE ON THE ART OF MEASURING. INTRODUCTION. DECIMALS. 25 Ir the numerator and denominator of a fraction be multiplied or divided by any number, its value will not be altered; thus, o, 4=100, 10=100, and so on. Hence, it is evident, that we can reduce a fraction to another equivalent one, having a given denominator. It likewise follows, that a fraction may be reduced to another equivalent one, whose denominator shall be 10, or some number produced by the continued multiplication of 10, by annexing ciphers to the numerator and denominator, and dividing both (with the ciphers annexed,) by the original denomi nator. 10 Thus, the fraction =0, and dividing both the numerator and denominator of the fraction 10 by 5, the original denominator, we should have 18 Again, the fraction =100; and dividing both the numerator and denominator by 4, we shall have 100-25. Also, 000; and dividing both the numerator and denominator of the fraction 3000 by 8, the original denominator, we shall have 3000. 375; hence 375 and so on. Fractions whose denominators are 10, 100, 1000, &e 8000 1000; = |