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 28
... centre is C , vertex F , and interposed square CĂFE — 1 . In CA take AB and Ab , on each side , or 0.1 And , erecting the per pendiculars BD , bd ; half the sum of the spaces AD and Ad will be 0.001 0.00001 0.0000001 + + + 3 and the ...
... centre is C , vertex F , and interposed square CĂFE — 1 . In CA take AB and Ab , on each side , or 0.1 And , erecting the per pendiculars BD , bd ; half the sum of the spaces AD and Ad will be 0.001 0.00001 0.0000001 + + + 3 and the ...
Σελίδα 44
... centre . 14. The describing line CB . ( 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 ...
... centre . 14. The describing line CB . ( 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 ...
Σελίδα 45
... centre , and terminating in opposite points of the circumference : and it divides the circle and circumference into two equal parts , called semicir- cles ; and is double the radius , as AB or DE . fig . 8 . 16. The circumference of ...
... centre , and terminating in opposite points of the circumference : and it divides the circle and circumference into two equal parts , called semicir- cles ; and is double the radius , as AB or DE . fig . 8 . 16. The circumference of ...
Σελίδα 46
... centre , and so become the ra- dius ; hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . 8. ) must be per- pendicular to the diameter ( by def . 20 ...
... centre , and so become the ra- dius ; hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . 8. ) must be per- pendicular to the diameter ( by def . 20 ...
Σελίδα 47
... centre through the other end : thus BK is the tangent of the arc HB . fig . 8 . 23. And the line which terminates the tan- gent , that is , CK , is called the secant of the arc HB . fig . 8 . 24. What an arc wants of a quadrant is ...
... centre through the other end : thus BK is the tangent of the arc HB . fig . 8 . 23. And the line which terminates the tan- gent , that is , CK , is called the secant of the arc HB . fig . 8 . 24. What an arc wants of a quadrant 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
Δημοφιλή αποσπάσματα
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.