A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
From inside the book
Results 1-5 of 52
Page 7
... scale a map is laid down , having the map and area given : how to find the content of a ground that is surveyed by a chain that is too long or too short : the method of dividing lands : And the whole concludes with some necessary di ...
... scale a map is laid down , having the map and area given : how to find the content of a ground that is surveyed by a chain that is too long or too short : the method of dividing lands : And the whole concludes with some necessary di ...
Page 46
... scale are formed , is the chord of 60 degrees on the line of chords . THEOREM XVI . If in two triangles ABC , abc , all the angies of one be each respectively equal to all the angles of the other , that is , A = a , B = b , C = c : then ...
... scale are formed , is the chord of 60 degrees on the line of chords . THEOREM XVI . If in two triangles ABC , abc , all the angies of one be each respectively equal to all the angles of the other , that is , A = a , B = b , C = c : then ...
Page 62
... scale of chords take 60 degrees , for 60 is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from the line AB ; take 45 degrees , the quantity of the given angle , from the same ...
... scale of chords take 60 degrees , for 60 is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from the line AB ; take 45 degrees , the quantity of the given angle , from the same ...
Page 63
... scale , produce them to that or a greater length , and between them so produced , with the chord of 60 from B , describe the arc ed ; which distance e d , measured on the same line of chords , gives the quantity of the angle BAC 48 ...
... scale , produce them to that or a greater length , and between them so produced , with the chord of 60 from B , describe the arc ed ; which distance e d , measured on the same line of chords , gives the quantity of the angle BAC 48 ...
Page 65
... scales of sines , tangents , & c . ready for use . Concerning Scales of equal parts . If an inch be divided into any ... scale is completed . 1 These numbers , 1 , 2 , 3 , 4 , & c . usually stand for 10 , 20 , 30 , 40 , & c . and every ...
... scales of sines , tangents , & c . ready for use . Concerning Scales of equal parts . If an inch be divided into any ... scale is completed . 1 These numbers , 1 , 2 , 3 , 4 , & c . usually stand for 10 , 20 , 30 , 40 , & c . and every ...
Other editions - View all
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.