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 38
... construction of lo- garithms may be seen in Simpson's Trigonometry . To find , by the table , the sine , tangent , & c . of an arc or angle . If the degrees in the given angle be less than 45 , look for them at the top of the table ...
... construction of lo- garithms may be seen in Simpson's Trigonometry . To find , by the table , the sine , tangent , & c . of an arc or angle . If the degrees in the given angle be less than 45 , look for them at the top of the table ...
Página 44
... Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A - 32 ° 15 ' ; also make the angle B = 114 ° 24 ' , and produce BC . AC , till they meet in C , then is ABC the triangle required ...
... Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A - 32 ° 15 ' ; also make the angle B = 114 ° 24 ' , and produce BC . AC , till they meet in C , then is ABC the triangle required ...
Página 46
... Construction , Fig . 42 . This may be constructed as in the preceding exam- ple ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A≈ 53 ° 8 ′ ; make AC = 480 by a scale of equal parts , and from C draw ...
... Construction , Fig . 42 . This may be constructed as in the preceding exam- ple ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A≈ 53 ° 8 ′ ; make AC = 480 by a scale of equal parts , and from C draw ...
Página 48
... Construction , Fig . 43 . Make BC7912 by a scale of equal parts , and draw CA , making the angle C33 ° 21 ' ; with the side AB.98 , in the compasses , taken from the same scale of equal parts , and B as a centre , describe the arc ab ...
... Construction , Fig . 43 . Make BC7912 by a scale of equal parts , and draw CA , making the angle C33 ° 21 ' ; with the side AB.98 , in the compasses , taken from the same scale of equal parts , and B as a centre , describe the arc ab ...
Página 50
... Construction , Fig . 44 60 , to find This is constructed in the same manner as the prece- ding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute ...
... Construction , Fig . 44 60 , to find This is constructed in the same manner as the prece- ding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute ...
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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.
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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.