A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles. Wherein Every Thing that is Useful and Curious in that Art, is Fully Considered and Explained ... The Whole Illustrated with CopperplatesP. Wogan, 1795 - 319 páginas |
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Página 3
... if they were Integers . EXAMPLES . Add 4.7832 3.2543 7.8251 6.03 2.857 and 3.251 together . Place them thus . 4.7832 3.2543 7.8251 6.03 2.857 3.251 Anfwer 28.0006 Add B2 gether . Add 6.2 121.306 .75 2.7 and .0007 to DECIMAL FRACTIONS . 3.
... if they were Integers . EXAMPLES . Add 4.7832 3.2543 7.8251 6.03 2.857 and 3.251 together . Place them thus . 4.7832 3.2543 7.8251 6.03 2.857 3.251 Anfwer 28.0006 Add B2 gether . Add 6.2 121.306 .75 2.7 and .0007 to DECIMAL FRACTIONS . 3.
Página 4
... EXAMPLES . From 38.765 take 25.3741 25.3741 Anfwer 13.3909 From 2.4 take .8472 .8472 1.5528 From 71.45 take 8.4837248 Anfwer 62.9662752 . From From 84 take 82.3412 Anfwer 1.6588 Multiplication of DECIMALS . 4 DECIMAL FRACTIONS .
... EXAMPLES . From 38.765 take 25.3741 25.3741 Anfwer 13.3909 From 2.4 take .8472 .8472 1.5528 From 71.45 take 8.4837248 Anfwer 62.9662752 . From From 84 take 82.3412 Anfwer 1.6588 Multiplication of DECIMALS . 4 DECIMAL FRACTIONS .
Página 5
... from whence it arofe . EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Anfwer 175992885 Multiply .121 by .14 484 121 Anfwer .01694 Multiply Multiply 121.6 by 2.76 2.76 7296 8512 2432 Answer 335.616 DECIMAL FRACTIONS . 5.
... from whence it arofe . EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Anfwer 175992885 Multiply .121 by .14 484 121 Anfwer .01694 Multiply Multiply 121.6 by 2.76 2.76 7296 8512 2432 Answer 335.616 DECIMAL FRACTIONS . 5.
Página 6
... the Number of Decimals in the Dividend and Divi- for , must be cut off in the Quotient . EXAMPLES . Divide 144 by .12 .12 ) .144 ( 1.2 24 EXAM EXAMPLE S. Divide 63.72413456922 by 2718 . 2718 ) 63.72413456922 6 DECIMAL FRACTIONS .
... the Number of Decimals in the Dividend and Divi- for , must be cut off in the Quotient . EXAMPLES . Divide 144 by .12 .12 ) .144 ( 1.2 24 EXAM EXAMPLE S. Divide 63.72413456922 by 2718 . 2718 ) 63.72413456922 6 DECIMAL FRACTIONS .
Página 7
... EXAMPLE S. Divide 63.72413456922 by 2718 . 2718 ) 63.72413456922 ( .02344522979 9364 12101 12293 14214 6245 8096 26609 21472 24462 Answer .02344522979 There being II decimal Figures in the Dividend , and none in the Divifor , 11 Figures ...
... EXAMPLE S. Divide 63.72413456922 by 2718 . 2718 ) 63.72413456922 ( .02344522979 9364 12101 12293 14214 6245 8096 26609 21472 24462 Answer .02344522979 There being II decimal Figures in the Dividend , and none in the Divifor , 11 Figures ...
Términos y frases comunes
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Pasajes populares
Página 13 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Página 88 - 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.
Página 56 - ... logarithm of that number. EXAMPLE. • Required, the logarithm of 365. Answer, 2.56229. And though most tables of logarithms run but to 10000, yet by them the log. of any number not exceeding 10,000,000 may be found, and on the contrary, the number to any such logarithm, thus : 1 Find the log. of the first four figures of the given number 2. Take that log. from the log: of the number next following, and note their difference, 3. Multiply that difference by the remaining figures of the given number...
Página 91 - In the triangle ABC, there is given AB 240, the angle A 46° 30', and BC 200, to find the angle C, being acute, the angle B, and the side AC.
Página 89 - ED. that is as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference.
Página 32 - KCML, the sum of the two parallelograms or square BCMH ; therefore the sum of the squares on AB and AC is equal to the square on BC.
Página 19 - Four quantities are said to be in proportion when the product of the extremes is equal to that of the means, thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D. POSTULATES OR PETITIONS. 1 . That a right line may be drawn from any one given point to another. 2. That a right line may be produced or continued at pleasure. 3. That from any centre and with any radius, the circumference of a circle may be described.
Página 13 - A chord is a right line drawn from one end of an arc or arch (that is, any part of the circumference of a circle) to the other ; and is the measure of the arc. Thus the right line HG, is the measure of the arc HBG.
Página 72 - ... these three proportions, for DE we put its equal be, for AE put ab, and for AD put ac, they will become AB : ab : : AC : ас, and AB : ab : : BC : be, and AC : ac : : BC : be.
Página 285 - Then if the true and magnetic amplitudes, be both north or both south, their difference is the variation ; but if one be north and the other south, their sum is the variation ; and to know whether it be easterly or westerly, suppose the observer looking...