A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Page 24
... right ones , it is then called a right - lined angle , as ABC . fig . 4. If one of them be right and the other curv ... angles ABC , CDB on each side equal to each other , then those angles are called right angles , and the line CD a ...
... right ones , it is then called a right - lined angle , as ABC . fig . 4. If one of them be right and the other curv ... angles ABC , CDB on each side equal to each other , then those angles are called right angles , and the line CD a ...
Page 25
... angles in general are cal- led oblique angles . 14. If a right line CB . ( fig . 8. ) be fastened at the end C , and the other end B , be carried quite round , then the space comprehended is called a circle ; and the curve line ...
... angles in general are cal- led oblique angles . 14. If a right line CB . ( fig . 8. ) be fastened at the end C , and the other end B , be carried quite round , then the space comprehended is called a circle ; and the curve line ...
Page 26
... right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so become the ... right angles , and thus the Plate I. periphery is divided into four equal parts , 26 GEOMETRY .
... right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so become the ... right angles , and thus the Plate I. periphery is divided into four equal parts , 26 GEOMETRY .
Page 28
... right - lined angle , is the arc of a circle swept from the angular point , and contained between the two lines that ... angles are greater or less according as the arc described about the angular point , and termi- nated by the two legs ...
... right - lined angle , is the arc of a circle swept from the angular point , and contained between the two lines that ... angles are greater or less according as the arc described about the angular point , and termi- nated by the two legs ...
Page 29
... right it is called a rectilineal figure , if curved it is called a ... angles . 35. In respect to its sides , it is either equilateral , having the ... angles , it is either right- angled , having one right angle , as D. fig . 13 . 39. Or ...
... right it is called a rectilineal figure , if curved it is called a ... angles . 35. In respect to its sides , it is either equilateral , having the ... angles , it is either right- angled , having one right angle , as D. fig . 13 . 39. Or ...
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Common terms and phrases
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-sine Co-tang Tang column contained cyphers decimal decimal fraction diameter difference distance line divided divisor draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument Lat Dep Lat latitude line of numbers logarithm measure meridian distance multiplied needle number of degrees off-sets parallel parallelogram perpendicular piece of ground plane Plate prob PROBLEM proportion protractor quotient radius right angles right line scale of equal SCHOLIUM Secant second station sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance tangent thence theo theodolite THEOREM trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation whence
Popular passages
Page 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 207 - ... that triangles on the same base and between the same parallels are equal...
Page 40 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.
Page 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.
Page 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.
Page 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Page 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.