The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesHarper, 1832 - 348 páginas |
Dentro del libro
Página 42
... 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 degrees , or the fourth part of the circle ...
... 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 degrees , or the fourth part of the circle ...
Página 47
... Quadrant , is founded on this corollary , annexed as an obvious consequence of the the- orem . A ray of light SA ( Pl . 14. fig . 2 ) from the sun , against the mirror at A , is reflected at an angle equal to its in- cidence ; and now ...
... Quadrant , is founded on this corollary , annexed as an obvious consequence of the the- orem . A ray of light SA ( Pl . 14. fig . 2 ) from the sun , against the mirror at A , is reflected at an angle equal to its in- cidence ; and now ...
Página 57
... quadrant of a circle described by the radius CB ; HB an arc of it , and DH its complement ; HL or FC the sine , FH or CL its co- sine , BK its tangent , DI its cotangent ; CK its secant , and CI its co- secant . Fig . 8 . 1. The cosine ...
... quadrant of a circle described by the radius CB ; HB an arc of it , and DH its complement ; HL or FC the sine , FH or CL its co- sine , BK its tangent , DI its cotangent ; CK its secant , and CI its co- secant . Fig . 8 . 1. The cosine ...
Página 64
... quadrants AD , DB be each divided into nine equal parts , every one of which will be ten degrees ; if then from the centre C lines be drawn through 10 , 20 , 30 , 40 , & c . the divi- sions of the quadrant BD , and continued to BE , we ...
... quadrants AD , DB be each divided into nine equal parts , every one of which will be ten degrees ; if then from the centre C lines be drawn through 10 , 20 , 30 , 40 , & c . the divi- sions of the quadrant BD , and continued to BE , we ...
Página 76
... quadrant divided into eight parts or points of the compass , in order to facilitate the work of the navigator in lay- ing down a ship's course . Of the line of longitudes . The line of longitudes 76 MATHEMATICAL Changing the Scale 40.
... quadrant divided into eight parts or points of the compass , in order to facilitate the work of the navigator in lay- ing down a ship's course . Of the line of longitudes . The line of longitudes 76 MATHEMATICAL Changing the Scale 40.
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Términos y frases comunes
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained cube root decimal diagonal diameter difference of latitude 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 logarithm manner measure meridian distance method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Página 49 - 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.
Página 163 - RULE. From half the sum of the three sides subtract each side severally.
Página 41 - 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.
Página 97 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 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.