A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of SchoolsKimber & Richardson, 1814 - 346 páginas |
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Página 66
... station and the object . = 49 ° 23 ' . Calculation . The sum of the angles CAB and CBA is 123 ° 37 ' , which subtracted from 180 ° leaves the angle ACB = 56 ° 23. Then by case 1 ; The angles may be taken with a surveyor's compass or any ...
... station and the object . = 49 ° 23 ' . Calculation . The sum of the angles CAB and CBA is 123 ° 37 ' , which subtracted from 180 ° leaves the angle ACB = 56 ° 23. Then by case 1 ; The angles may be taken with a surveyor's compass or any ...
Página 68
... station D , in a straight line with the objects A and C , being nearer the former , and found the angle ADB = 17 ° 47 ' . Required my distance from each of the objects . Construction . - With the three given distances , describe the ...
... station D , in a straight line with the objects A and C , being nearer the former , and found the angle ADB = 17 ° 47 ' . Required my distance from each of the objects . Construction . - With the three given distances , describe the ...
Página 69
... station at D , I perceived three objects A , B and C , whose distances from each other I knew to be as follow : AB12 miles , BC 7.2 miles and AC = 8 miles ; at D I took the angle CDB = 25 ° and ADC = 19 ° . Hence it is required to find ...
... station at D , I perceived three objects A , B and C , whose distances from each other I knew to be as follow : AB12 miles , BC 7.2 miles and AC = 8 miles ; at D I took the angle CDB = 25 ° and ADC = 19 ° . Hence it is required to find ...
Página 76
... station . Ans . 135.9 yards from one , and 154.2 from the other . == 3. Wishing to know the distance between two trees C and D , standing in a bog , I measured a base line AB 339 feet ; at A the angle BAD was 100 ° and BAC 36 ° 30 ; at ...
... station . Ans . 135.9 yards from one , and 154.2 from the other . == 3. Wishing to know the distance between two trees C and D , standing in a bog , I measured a base line AB 339 feet ; at A the angle BAD was 100 ° and BAC 36 ° 30 ; at ...
Página 77
... station . Ans . Height 62 feet , distance 49 . 7. From the top of a tower by the sea side , of 143 feet high , I observed that the angle of depression of a ship's bottom , then at anchor , was 35 ° ; what was its distance from the ...
... station . Ans . Height 62 feet , distance 49 . 7. From the top of a tower by the sea side , of 143 feet high , I observed that the angle of depression of a ship's bottom , then at anchor , was 35 ° ; what was its distance from the ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere Sin vista previa disponible - 2016 |
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Página 97 - To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately.
Página 43 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Página 34 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Página 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Página 85 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Página 25 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Página 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Página 91 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Página 96 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.