The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this Art |
From inside the book
Results 1-5 of 59
Page
... Observations . Section the third shows how to find the Latitude by the Me- ridian Altitude of the Sun. Section the fourth shows how to find the Variation of the Compass , with a description of the Azimuth Compass , and its use . In this ...
... Observations . Section the third shows how to find the Latitude by the Me- ridian Altitude of the Sun. Section the fourth shows how to find the Variation of the Compass , with a description of the Azimuth Compass , and its use . In this ...
Page 11
... observed . RULE II . To reduce Quantities of the same , or of different Denominations to Decimal Fractions of higher denominations . ? If the given quantity consist of one denomina- tion only , write it as the numerator of a vulgar ...
... observed . RULE II . To reduce Quantities of the same , or of different Denominations to Decimal Fractions of higher denominations . ? If the given quantity consist of one denomina- tion only , write it as the numerator of a vulgar ...
Page 32
... observed , that the operation is shorter in the larger prime numbers ; for when any given number exceeds 400 , the first quotient , being added to the Logarithm of its next lesser number , will give the Logarithm sought , frue to 8 , or ...
... observed , that the operation is shorter in the larger prime numbers ; for when any given number exceeds 400 , the first quotient , being added to the Logarithm of its next lesser number , will give the Logarithm sought , frue to 8 , or ...
Page 52
... observation made upon something going before . GEOMETRICAL THEOREMS . THEOREM I. PL . 1. fig . 20 . IF a right line falls on another , as AB , or EB , does on CD , it either makes with it two right angles , or two angles equal to two ...
... observation made upon something going before . GEOMETRICAL THEOREMS . THEOREM I. PL . 1. fig . 20 . IF a right line falls on another , as AB , or EB , does on CD , it either makes with it two right angles , or two angles equal to two ...
Page 110
... 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 110 TRIGONOMETRY .
... 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 110 TRIGONOMETRY .
Other editions - View all
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.