The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this Art |
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... manner only ; and the few who have undertaken the Theory , have in a great measure omitted the practice . These considerations induced me to attempt a methodical , easy , and clear course of Surveying ; how far I have succeeded in it ...
... manner only ; and the few who have undertaken the Theory , have in a great measure omitted the practice . These considerations induced me to attempt a methodical , easy , and clear course of Surveying ; how far I have succeeded in it ...
Page 4
... manner as in whole num- bers , and put the decimal point , in the sum di- rectly beneath the other points . 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 Sum ...
... manner as in whole num- bers , and put the decimal point , in the sum di- rectly beneath the other points . 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 Sum ...
Page 13
... manner through all the parts of the integer , and the seve- ral denominations , standing on the left hand , are the value required . EXAMPLES . Required the value of .3375 of an acre . 4 = number of roods 4 = [ in an acre . 1.3500 40 ...
... manner through all the parts of the integer , and the seve- ral denominations , standing on the left hand , are the value required . EXAMPLES . Required the value of .3375 of an acre . 4 = number of roods 4 = [ in an acre . 1.3500 40 ...
Page 18
... divisor , ( because the first root found is in the ten's place ) the same as in the Algebraic form , in the same manner it can be demonstrated if there be three or more terms . another over the place of hundreds , and so on 18 EVOLUTION .
... divisor , ( because the first root found is in the ten's place ) the same as in the Algebraic form , in the same manner it can be demonstrated if there be three or more terms . another over the place of hundreds , and so on 18 EVOLUTION .
Page 19
... manner of a quotient figure in division . Subtract the square , thus found , from the said period , and to the remainder annex the two figures of the next following period , for a divi- dend . Double the root above mentioned for a divi ...
... manner of a quotient figure in division . Subtract the square , thus found , from the said period , and to the remainder annex the two figures of the next following period , for a divi- dend . Double the root above mentioned for a divi ...
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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.