The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this Art |
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Page
... multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 4 : 6 , shows that 2 is to 3 as 4 is to 6 .. 6 + 4 = 10 , shows that the sum of 6 and 4 is equal to 10 . ✓3 , or 34 , denotes the square root of the number 3 . 3/5 ...
... multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 4 : 6 , shows that 2 is to 3 as 4 is to 6 .. 6 + 4 = 10 , shows that the sum of 6 and 4 is equal to 10 . ✓3 , or 34 , denotes the square root of the number 3 . 3/5 ...
Page 6
... multiplied as in whole numbers , cut off as many places for decimals in the product , counting from the right hand ... Multiply 48.765 by .003609 .003609 438885 292590 146295 Product.175992885 Multiply .121 by .14 484 121 Product ...
... multiplied as in whole numbers , cut off as many places for decimals in the product , counting from the right hand ... Multiply 48.765 by .003609 .003609 438885 292590 146295 Product.175992885 Multiply .121 by .14 484 121 Product ...
Page 7
... Multiply .0089789 by 1085 Product 9.7421065 Multiply .248723 by .13587 Product .03379399401 . = DIVISION OF DECIMALS . Divide as in whole numbers ; observing that the divisor and quotient together must contain as ma- ny decimal places ...
... Multiply .0089789 by 1085 Product 9.7421065 Multiply .248723 by .13587 Product .03379399401 . = DIVISION OF DECIMALS . Divide as in whole numbers ; observing that the divisor and quotient together must contain as ma- ny decimal places ...
Page 13
... Multiply the given decimal by the number of the next lower denomination , which makes an integer of the present , and point off as many pla- ces at the right hand of the product , for a re- mainder , as there are figures in the given ...
... Multiply the given decimal by the number of the next lower denomination , which makes an integer of the present , and point off as many pla- ces at the right hand of the product , for a re- mainder , as there are figures in the given ...
Page 14
... multiply the second and third terms together , and divide the product by the first term , and the quotient will be the answer ; -in the same denomination with the third term . EXAMPLES . If 3 acres 3 roods of land can be purchased for ...
... multiply the second and third terms together , and divide the product by the first term , and the quotient will be the answer ; -in the same denomination with the third term . EXAMPLES . If 3 acres 3 roods of land can be purchased for ...
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Common terms and phrases
ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal diagonal difference of latitude Dist divided divisions divisor draw east Ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence Horizon glass hypothenuse inches instrument length Logarithms measure meridian distance multiplied Natural Co-sines natural number natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole PROB proportional protractor Quadrant quotient radius rhombus right angles right line screw Secant sect semicircle side square root station subtract survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 246 - ... that triangles on the same base and between the same parallels are equal...
Page 58 - 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 231 - RULE. From half the sum of the three sides subtract each side severally.
Page 45 - 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 14 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 5 - His method is founded on these three considerations: 1st, that the sum of the logarithms of any two numbers is the logarithm of the product of...
Page 91 - ... scale. Given the length of the sine, tangent, or secant of any degrees, to find the length of the radius to that sine, tangent, or secant.
Page 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Page 30 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers ; from the above two logarithms, and the logarithm of 10, which is 1, we may obtain a great many logarithms, as in the following examples : EXAMPLE 3.
Page 211 - At 170 feet distance from the bottom of a tower, the angle of its elevation was found to be 52° 30' : required the altitude of the tower ? Ans.