The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this ArtE. Duyckinck, 1821 - 544 σελίδες |
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Σελίδα 44
... ( fig . 8. ) is called the semidiameter or radius , so is any line from the centre to the circumference ; whence all radii of the same or of equal circles are equal . 15. The diameter of a circle is a right line 44 GEOMETRY .
... ( fig . 8. ) is called the semidiameter or radius , so is any line from the centre to the circumference ; whence all radii of the same or of equal circles are equal . 15. The diameter of a circle is a right line 44 GEOMETRY .
Σελίδα 45
... radius , as AB or DE . fig . 8 . 16. The circumference of every circle is sup- posed to be divided into 360 equal parts called degrees , and each degree into 60 equal parts call- ed minutes , and each minute into 60 equal parts called ...
... radius , as AB or DE . fig . 8 . 16. The circumference of every circle is sup- posed to be divided into 360 equal parts called degrees , and each degree into 60 equal parts call- ed minutes , and each minute into 60 equal parts called ...
Σελίδα 46
... radius DC is always the sine of a quadrant , or of the fourth part of the circle BD . Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine of a quadrant , becomes the sine of 90 de ...
... radius DC is always the sine of a quadrant , or of the fourth part of the circle BD . Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine of a quadrant , becomes the sine of 90 de ...
Σελίδα 63
... radius . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn : then AB - CB — AC . In the triangle ABC , the angle ACB is 60 de- grees , being measured by the arc AEB ; there- fore the sum of the ...
... radius . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn : then AB - CB — AC . In the triangle ABC , the angle ACB is 60 de- grees , being measured by the arc AEB ; there- fore the sum of the ...
Σελίδα 64
... radius ; and consequently the greater any particular arc of that circle is , so the chord , sine , tangent , & c . of that are will be also greater . Therefore , in ge- neral , the chord , sine , tangent , & c . of any arc is ...
... radius ; and consequently the greater any particular arc of that circle is , so the chord , sine , tangent , & c . of that are will be also greater . Therefore , in ge- neral , the chord , sine , tangent , & c . of any arc is ...
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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
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Σελίδα 246 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 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.
Σελίδα 231 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.