A Treatise on Practical Surveying: Which is Demonstrated from Its First Principles. Wherein Everything that is Useful and Curious in that Art, is Fully Considered and ExplainedF. Lucas and Joseph Cushing, 1818 - 478 sider |
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Resultat 1-5 av 29
Side 21
... proceed , till all the figures of the given square are exhausted . If there be any decimals in the given square , their number must be even , or made so , before we begin to find the root , by adding a cypher to the right hand ; and for ...
... proceed , till all the figures of the given square are exhausted . If there be any decimals in the given square , their number must be even , or made so , before we begin to find the root , by adding a cypher to the right hand ; and for ...
Side 86
... proceed to 44 , where they end ; and those at the bot- tom of the page begin at 89 , and proceed to 45 in a decreasing series ; the degrees in the different co- lumns being the complement of each other . From what has been said , we may ...
... proceed to 44 , where they end ; and those at the bot- tom of the page begin at 89 , and proceed to 45 in a decreasing series ; the degrees in the different co- lumns being the complement of each other . From what has been said , we may ...
Side 110
... which means he will find and see more distinctly their mutual agreements ; and become more expert , and the better acquainted with the subject . 3 OBLIQUE ANGULAR PLANE TRIGONOMETRY . BEFORE we proceed to 110 PLANE TRIGONOMETRY .
... which means he will find and see more distinctly their mutual agreements ; and become more expert , and the better acquainted with the subject . 3 OBLIQUE ANGULAR PLANE TRIGONOMETRY . BEFORE we proceed to 110 PLANE TRIGONOMETRY .
Side 111
... proceed to the solution of the four cases of Oblique angular triangles , it is necessary to pre- mise the following theorems . THEOREM I. In any plane triangle ABC , the sides are propor- tional to the sines of their opposite angles , i ...
... proceed to the solution of the four cases of Oblique angular triangles , it is necessary to pre- mise the following theorems . THEOREM I. In any plane triangle ABC , the sides are propor- tional to the sines of their opposite angles , i ...
Side 123
... Having thus gone through plane trigonometry , we shall now proceed to apply the same , in determining the measures of inaccessible heights and distances . THE OF HEIGHT . HE instrument of least expense for PLANE TRIGONOMETRY . 123.
... Having thus gone through plane trigonometry , we shall now proceed to apply the same , in determining the measures of inaccessible heights and distances . THE OF HEIGHT . HE instrument of least expense for PLANE TRIGONOMETRY . 123.
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Vanlige uttrykk og setninger
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-secant Secant Co-sine Co-tang column compass complement contained cyphers decimal decimal fraction Dep Lat difference Dist divided divisor draw east edge EXAMPLE feet field-book figures four-pole chains half the sum height Hence hypothenuse inches instrument Lat Dep latitude length logarithm measure meridian distance multiplied needle number of degrees object off-sets parallel parallelogram perpendicular piece of ground plane pole polygon Portmarnock PROB proportion protractor quotient radius right angles right line scale of equal SCHOLIUM second station sect semicircle side sights sine square root stationary distance stationary line sun's suppose survey taken Tang thence theo theodolite THEOREM thro triangle ABC trigonometry true azimuth two-pole chains vane variation
Populære avsnitt
Side 42 - 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.
Side 99 - ... on a side, denotes its length to be given in feet, yards, perches, or miles, &c. and this mark", either in an angle or on a side, denotes the angle or side to be required. ; From these proportions it may be observed ; that to find a side, when the angles and one side are given, any side may be made the radius; and to find an angle, one of the given sides must be made the radius. So that in the 1st, 2d, and 3d cases, any side as well required as given may be made the radius, and in the first statings...
Side 46 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 93 - 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.
Side 114 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 4 - POMEROY, of the said District, hath deposited in this Office the title of a Book, the right whereof he claims as Proprietor, in the words following, to wit : . . "Biography of the Signers to the Declaration of Independence.
Side 48 - 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.
Side 115 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 175 - ... the two cardinal points of your compass the point of the needle lies between (the north, south, east, and west being called the four cardinal points, and are graved on the bottom of the box), putting down those points together by their initial letters, and thereto annexing the number of degrees, counting from the north or south, as before, thus ; if the point of your needle lies between the north and east, north and west, south and east, or south and west points in the bottom of the box, then...
Side 282 - But if one corner cannot be seen from the other, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner: then...