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9781130851021: A concise system of mathematics

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Sinopsis

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. 1830 Excerpt: ...Ans. Area 100 acres 1 rood 19 perches 21 yards 1-4 foot. Peob. XXVI. To draw the plan of the field upon paper from the field-book. Draw a faint line up and down the paper to represent the meridian, the upper end the north, and the under end the south. Using the data given in Ex. 1, Prob. XXV., in this line take a convenient point G for the first station. On the south side of G make an angle of 67 30' towards the left hand, which will give the position of Gil; and take 1038 from any convenient scale, »,nd lay that extent from G to H, to get the station H. The best protractor for laying down the angles is a circular one, divided into 360. Place the centre at G, and the beginning of the degrees on GH. Make a mark at 22, and at it write a faint C; make another mark at 86 30', and there write a faint D, and so on all the way round; and draw faint lines from G to the marks. Next place the centre of the protractor at H, and the beginning of the degrees on GH; and at 20 make a mark, and write F; at 72 make a mark, and write A, and so on; and draw lines from H through the marks. The lines from G and H, through the points where the same letter is written, must be drawn out till they meet, and their intersection is at the angle to which that letter belongs. Thus GA and HA will meet in the angle A, GB and HB will meet in the-angle B, &c. After this join AB, BC, &c. for the boundaries of the field. If the protractor be a semicircle, then, after laying down the angles less than 180, the protractor must be laid on the other side of GH, and 180 taken from each of the remaining angles before they are laid down. Pkob. XXVII. To survey fields with crooked boundaries. The boundaries of fields are seldom straight lines, and therefore surveyors generally erect poles...

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Reseña del editor

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. 1830 Excerpt: ...Ans. Area 100 acres 1 rood 19 perches 21 yards 1-4 foot. Peob. XXVI. To draw the plan of the field upon paper from the field-book. Draw a faint line up and down the paper to represent the meridian, the upper end the north, and the under end the south. Using the data given in Ex. 1, Prob. XXV., in this line take a convenient point G for the first station. On the south side of G make an angle of 67 30' towards the left hand, which will give the position of Gil; and take 1038 from any convenient scale, »,nd lay that extent from G to H, to get the station H. The best protractor for laying down the angles is a circular one, divided into 360. Place the centre at G, and the beginning of the degrees on GH. Make a mark at 22, and at it write a faint C; make another mark at 86 30', and there write a faint D, and so on all the way round; and draw faint lines from G to the marks. Next place the centre of the protractor at H, and the beginning of the degrees on GH; and at 20 make a mark, and write F; at 72 make a mark, and write A, and so on; and draw lines from H through the marks. The lines from G and H, through the points where the same letter is written, must be drawn out till they meet, and their intersection is at the angle to which that letter belongs. Thus GA and HA will meet in the angle A, GB and HB will meet in the-angle B, &c. After this join AB, BC, &c. for the boundaries of the field. If the protractor be a semicircle, then, after laying down the angles less than 180, the protractor must be laid on the other side of GH, and 180 taken from each of the remaining angles before they are laid down. Pkob. XXVII. To survey fields with crooked boundaries. The boundaries of fields are seldom straight lines, and therefore surveyors generally erect poles...

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Otras ediciones populares con el mismo título

9781357801458: A Concise System of Mathematics

Edición Destacada

ISBN 10:  1357801459 ISBN 13:  9781357801458
Editorial: Palala Press, 2016
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