The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this Art |
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... contained are much more concise and ready than his . This method , with very little alteration and improvement , in this coun try , is usually called the Pennsylvania Method of Calculation , Edit . 1 小 CONTENTS . 2 Sect . 7. Method of ...
... contained are much more concise and ready than his . This method , with very little alteration and improvement , in this coun try , is usually called the Pennsylvania Method of Calculation , Edit . 1 小 CONTENTS . 2 Sect . 7. Method of ...
Page 6
... contain of ciphers , it follows , that the places of decimals in the product will be as many as in the numbers from whence it arose . 1 EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Product.175992885 Multiply .121 ...
... contain of ciphers , it follows , that the places of decimals in the product will be as many as in the numbers from whence it arose . 1 EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Product.175992885 Multiply .121 ...
Page 7
... contain as ma- ny decimal places as there are in the dividend . If , therefore , the dividend have just as many places of decimals as the divisor has , the quotient will be a whole number without any decimal figures . If there be more ...
... contain as ma- ny decimal places as there are in the dividend . If , therefore , the dividend have just as many places of decimals as the divisor has , the quotient will be a whole number without any decimal figures . If there be more ...
Page 11
... contain several deno- minations , reduce them to the lowest term for the numerator ; reduce likewise that quantity , whose fraction is sought , to the same denomination for the denominator of a vulgar fraction ; then divide as before ...
... contain several deno- minations , reduce them to the lowest term for the numerator ; reduce likewise that quantity , whose fraction is sought , to the same denomination for the denominator of a vulgar fraction ; then divide as before ...
Page 19
... contained in the said dividend , exclusive of its right hand figure , and set this quotient both in the place of the quotient and in the divisor . - The best way of doubling the root , to form each new.divisor , is to add the last ...
... contained in the said dividend , exclusive of its right hand figure , and set this quotient both in the place of the quotient and in the divisor . - The best way of doubling the root , to form each new.divisor , is to add the last ...
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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.