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 σελίδες |
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Σελίδα 40
... sum is double to either of them , that is , DAĆ + ADC is double to CAD , and therefore ECD is double to CAD ; after ... half the arc it subtends or stands on . Cor . 2. Hence all angles at the circumference of a circle which stand on the same ...
... sum is double to either of them , that is , DAĆ + ADC is double to CAD , and therefore ECD is double to CAD ; after ... half the arc it subtends or stands on . Cor . 2. Hence all angles at the circumference of a circle which stand on the same ...
Σελίδα 45
... sum of the squares made on the other two sides AB and AC , that is , to ABDE and ACGF . fig . 32 . fig . 32 ... half of the square ABDE ( by cor . 2. theo . 12. ) and the triangle ABH is half the parallelogram BKLH ( by the same ...
... sum of the squares made on the other two sides AB and AC , that is , to ABDE and ACGF . fig . 32 . fig . 32 ... half of the square ABDE ( by cor . 2. theo . 12. ) and the triangle ABH is half the parallelogram BKLH ( by the same ...
Σελίδα 46
... sum of the squares , BKLH + KCML , the sum of the two parallelograms or ... difference of the squares of the hypothenuse and given leg , will be the required leg . THEOREM XV ... half of 120 degrees , and the three angles will 46 1 THEOREMS .
... sum of the squares , BKLH + KCML , the sum of the two parallelograms or ... difference of the squares of the hypothenuse and given leg , will be the required leg . THEOREM XV ... half of 120 degrees , and the three angles will 46 1 THEOREMS .
Σελίδα 109
... half the logarithm of the sum of the squares of the two sides , will be the logarithm of the hypo- thenuse . Thus , The sum of squares , as before , is 124609 ; its log . is 5.09554 , the half of which is 2.54777 ; and the cor ...
... half the logarithm of the sum of the squares of the two sides , will be the logarithm of the hypo- thenuse . Thus , The sum of squares , as before , is 124609 ; its log . is 5.09554 , the half of which is 2.54777 ; and the cor ...
Σελίδα 112
... sum of the two giv en sides AB and BC , including a given angle ABC , is to their difference , as the tangent of half the sum of the two unknown angles A and C is to the tangent of kalf their difference . Fig . 71 . fig . 71 . H I BA ...
... sum of the two giv en sides AB and BC , including a given angle ABC , is to their difference , as the tangent of half the sum of the two unknown angles A and C is to the tangent of kalf their difference . Fig . 71 . fig . 71 . H I BA ...
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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 46 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 115 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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...
Σελίδα 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...