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 & Sharpless, 1833 - 368 pages |
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Page 10
... called indices and are always less by unity , than the number of figures in the integral part of the corresponding natural number . The index of the logarithm of a number , consisting in whole , or in part of integers , is affirmative ...
... called indices and are always less by unity , than the number of figures in the integral part of the corresponding natural number . The index of the logarithm of a number , consisting in whole , or in part of integers , is affirmative ...
Page 24
... called the Arithmetical Complement . Thus , if the logarithm be 2.53061 , its arithmetical complement will be 7.46939 . If one or more figures to the right hand be ciphers , write ciphers in their place , and take the first significant ...
... called the Arithmetical Complement . Thus , if the logarithm be 2.53061 , its arithmetical complement will be 7.46939 . If one or more figures to the right hand be ciphers , write ciphers in their place , and take the first significant ...
Page 26
... called a right angle , and the line which stands on the other is said to be perpendicular to it . Thus ADC and BDC are right angles , and the line CD is perpendicular to AB , Fig . 4 . 10. An acute angle is that which is less than a ...
... called a right angle , and the line which stands on the other is said to be perpendicular to it . Thus ADC and BDC are right angles , and the line CD is perpendicular to AB , Fig . 4 . 10. An acute angle is that which is less than a ...
Page 27
... called oblique angled triangles . 22. Any plane figure bounded by four right lines , is called a quadrilateral . 23. Any quadrilateral , whose opposite sides are paral- lel , is called a parallelogram , as D , Fig . 11 . 24. A ...
... called oblique angled triangles . 22. Any plane figure bounded by four right lines , is called a quadrilateral . 23. Any quadrilateral , whose opposite sides are paral- lel , is called a parallelogram , as D , Fig . 11 . 24. A ...
Page 28
... called the altitude of the parallelogram , or triangle . Thus AD is the base of the parallelogram ABEC , or tri- angle ABC , and CD is the altitude . Fig . 15 . 32. All plane figures contained under more than four sides , are called ...
... called the altitude of the parallelogram , or triangle . Thus AD is the base of the parallelogram ABEC , or tri- angle ABC , and CD is the altitude . Fig . 15 . 32. All plane figures contained under more than four sides , are called ...
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A Treatise on Surveying, Containing the Theory and Practice: To Which Is ... John Gummere No preview available - 2006 |
Common terms and phrases
100 Distance AB² ABCD acres adjacent adjacent angles angle opposite angles ABC base bearings and distances Calculation centre changed bearing Co-secant Secant Co-sine Co-tang column compass decimal degrees DEMONSTRATION diff difference of latitude dist divide division line draw east equal EXAMPLES feet figures find the angles find the area fourth term given angle given area given bearing given number given side Given the bearings Hence hypothenuse John Gummere latitude and departure length line FE logarithm M.
M. Sine measured meridian multiplier off-sets parallelogram parture perches perpendicular place of beginning pole star prob quired quotient radius rectangle Required the area right angle right line right-angled triangle side AC square root station stationary lines subtract take the difference Tangent tract of land trapezium triangle ABC trigonometry two-pole chains
Popular passages
Page 35 - 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.
Page 44 - 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.
Page 79 - 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.
Page 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.
Page 52 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 127 - From half the sum of the three sides, subtract each side severally; multiply the half sum, and the three remainders together, and the square root of the product will be the area required. Example. — Required the area of a triangle, whose sides are 50, 40, and 30 feet. 50 + 40+30 ; — 60, half the sum of the three sides.
Page 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 36 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.
Page 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 25 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.