English, but if by a plantation chain, the miles will be Irish. Hence an English mile contains 1760, and an Irish mile 2240 yards; and because 14 half yards is an Irish, and 11 half yards is an English perch, therefore 11 Irish perches, or Irish miles, are equal to 14 English ones. Since some surveys are taken by a four-pole, and others by a two-pole chain ; and as ground for houses is measured by feet, we will shew how to reduce one to the other, in the following problems. PROB. I. To reduce two-pole chains and links to four-pole ones. If the number of chains be even, the half of them will be four-pole ones, to which annex the links given, thus, 1. In 16. 37 of two pole-chains, how many fourpole ones? Ch. L. But if the number of chains be odd, take the half of them for chains, and add 50 to the links, and they will be four-pole chains, and links, thus, Ch. L. 2. In 17. 42, of two-pole chains, how many four To reduce four-pole chains and links, to two-pole ones. Double the chains, to which annex the links, if they be less than 50; but if they exceed 50, double the chains, add 1 to them, and take 50 from the links, and the remainder will be the links, thus, 1. In 8. 37. of four-pole chains, how many two 2 pole ones ? 16 37 Ch. L. 2. In 8. 82 of four-pole chains, how many two 2 50 pole ones ? 17. 32 Answer. PROB. III. To reduce four-pole chains and links, to perches and decimals of a perch. The links of a four-pole chain are decimal parts of it, each link being the hundredth part of a chain ; therefore if the chains and links be multiplied by 4 (for 4 perches are a chain) the product will be the perches and decimal parts of a perch. Thus, How many perches in 13. 64 of four-pole chains? Answer 5t. 56 perches. PROB. IV. To reduce two-pole chains and links, to perches and decimals of a perch. They may be reduced to four-pole ones (by prob. 1.) and thence to perches and decimals (by the last.) or, If the links be multiplied by 4, carrying one to the chains when the links are, or exceed 25; and the chains by 2 adding one, if occasion be: the product will be perches and decimals of a perch. Thus, Ch. L. 1. In 17. 21 of two-pole chains, how many 4 perches ? 2. Answer 34. 84 perches. Ch. L. 2. In 15. 38. of two-pole chains, how many 2. 4 perches? PROB. V. To reduce perches, and decimals of a perch, to four pole chains and links. Divide by 4, so as to have two decimal places in the quotient, and that will give four-pole chains and links. Thus, In 31. 52 perches, how many four-pole chains and links. To reduce perches and decimals of a perch, to two pole chains and links. The perches may be reduced to four-pole chains (by the last) and from thence to two-pole chains (by prob. 2.) or, Divide the whole number by 2, the quotient will be chains; to the remainder annex the given decimals and divide by 4, the last quotient will be the links, Thus, In 31.52 perches, how many two-pole chains and links? |