. A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects. hypotenuse atthe distance of 13 from the most acute angle, whereabouts on the othersides will the division lines fall to divide the triangle into three equalparts ? 1ST. B. The sine of an acute angle to any right-angled triangle isequal to the side opposite that angle divided by the hypotenuse. Ans. Both division lines fall on the side 28, distance of the firstfrom the acute angle 12^1, or the second 24|| 9. There is a farm containing 64 acres, commencing at its sou
. A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects. hypotenuse atthe distance of 13 from the most acute angle, whereabouts on the othersides will the division lines fall to divide the triangle into three equalparts ? 1ST. B. The sine of an acute angle to any right-angled triangle isequal to the side opposite that angle divided by the hypotenuse. Ans. Both division lines fall on the side 28, distance of the firstfrom the acute angle 12^1, or the second 24|| 9. There is a farm containing 64 acres, commencing at its southwesterly corner, the first course is North 15° E., distance 12 chains ;the second is N. 80° E. {distance lost), the third S. (distance lost),the fourth is N. 82° W. (distance lost), to the place of beginning. Itis required to determine the distances lost. Observation.— Extend the northern and southern boundary westward, andthus form a triangle on the west side of 12. Ans. The 2nd side is ch. 3rd, ch. 4th, ch. The two following problems are from Gummeres Surveying, andare considered very DIVISION OF LANDS. 143 1. There is apiece of land hounded as follows :Beginning at the south-west corner ; thence, 1. K 14° 00 W, Distance chains=a; 2. K 70° 30 E., =5 ; 3. S. 6° 00 E., « =c ; 4. JSf. 86° 30 IT., « M s=<?. Within this lot there is a spring ; the course to it from the secondcorner is S. 75° E., distance chains. It is required to cut off tenacres from the ivest side of this lot, by a line running through the will this line meet the fourth side, that is, how far from thefirst corner ? Ans. chains. First make a plot of the field. It is as here represented. Produce the sides b and d, the secondand fourth, until they meet at G. Let Sbe the position of the spring, and join may or may not find the contents ofthe field* : it is not necessary for thelocation of the line LSH. It is necess
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Keywords: ., boo, bookcentury1800, booksubjectnavigation, booksubjectsurveying
