A practical treatise on the science of land and engineering surveying, levelling, estimating quantities, &e

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1863 Excerpt: ...example. From the plan draw an assumed line as A B equal to 640 links; find the contents of the piece to the line AB equal to 1.887, or 1a. 3e. 22p., being minus the quantity required by.362 decimals, or 0a. 1b. 18p. Then divide.36200 by 640, the length of AB, the quotient will be 56 links, the width to be added if the amended line was parallel. As the increased quantity would form a triangle, this quotient must be doubled, or 112 links for the perpendicular to a, then will the line A a be the exact division required. To set this out on the ground: From the plan, scale the distance B a equal to 130 links, and at the point a put in a stake. Scale, 4 chains to 'the inch. Problem 49. Fig. 10, Plate 27. Example 12. A field containing 3a. Or. 6p. is to be divided into four equal portions, in such manner that access to the pond of water be given to each. By the Table, No. 13, 3 acres 6 poles = 3.03525 square links. Thus: 3.03525 4 =.75881 = to each share No. 1. Set off the line A F as a fence; draw B F an assumed line; calculate the quantity A B F =.59040, which is less than the quantity required by.16841; divide this quantity by the length of B F = 380 equal to 44 links, being half the perpendicular; therefore set off 88 links, which will complete the first trapezium A B a F. No. 2. Draw the guess line C F, and calculate the quantity of a C F equal to.49099, less than the quantity required by.26782; divide this by the length C F equal to 378 = 71, the half; set off the perpendicular, 142 links, which completes the trapezium a C b F. No. 3. Draw the guess line E F; calculate the quantity A E F equal to.56121 less than the quantity required by.19760; which divide by E F = 350 links; the quotient 56 the half, or 112 the perpendicular to c, which completes the trape...