Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
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Page 38
... cosine of an arc is the part of the diameter inter- cepted between the foot of the sine and centre . Thus , OD is the cosine of the arc АВ . 52. The tangent of an arc is the line which touches it at one extremity , and limited by a line ...
... cosine of an arc is the part of the diameter inter- cepted between the foot of the sine and centre . Thus , OD is the cosine of the arc АВ . 52. The tangent of an arc is the line which touches it at one extremity , and limited by a line ...
Page 39
... cosine of AB ; OT , the secant of EB , is the cosecant of AB . In general , if A is any arc or angle , we have , COS ... cosine ; AQ its tangent , and OQ its secant . But FH is the sine of the arc GF , which is the sup- plement of ...
... cosine of AB ; OT , the secant of EB , is the cosecant of AB . In general , if A is any arc or angle , we have , COS ... cosine ; AQ its tangent , and OQ its secant . But FH is the sine of the arc GF , which is the sup- plement of ...
Page 40
... cosines , & c . , are expressed on the page . The vertical columns on the left and right are columns of minutes . To find , in the table , the logarithmic sine , cosine , tangent , or cotangent of any given angle . 59. If the angle is ...
... cosines , & c . , are expressed on the page . The vertical columns on the left and right are columns of minutes . To find , in the table , the logarithmic sine , cosine , tangent , or cotangent of any given angle . 59. If the angle is ...
Page 41
... cosine , at the bottom ; cosine with sine , tang with cotang , and cotang with tang , as in the tables . If the angle is greater than 90 ° , we have only to subtract it from 180 ° , and take the sine , cosine , tangent , or cotangent of ...
... cosine , at the bottom ; cosine with sine , tang with cotang , and cotang with tang , as in the tables . If the angle is greater than 90 ° , we have only to subtract it from 180 ° , and take the sine , cosine , tangent , or cotangent of ...
Page 42
... cosine and cotangent , it must be remembered , that they increase while the arcs decrease , and decrease as the arcs ... cosine of 3 ° 40 ′ 40 ′′ . The cosine of 3 ° 40 ' Tabular difference .13 • • • • • 9.999110 • • Number of ...
... cosine and cotangent , it must be remembered , that they increase while the arcs decrease , and decrease as the arcs ... cosine of 3 ° 40 ′ 40 ′′ . The cosine of 3 ° 40 ' Tabular difference .13 • • • • • 9.999110 • • Number of ...
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Common terms and phrases
adjusted Applying logarithms axis azimuth back-sight base-line bearing chord clamp-screw column compass corresponding Cosine Cosine D course curve decimal DegDeg degree of curvature degrees determined difference of level divided double meridian distance draw east error example feet field-notes fore-sight given angle given line ground hence horizontal angles horizontal distance horizontal plane inch intersection LatDeg LatDegDeg LatDegDegDegDeg latitude and departure length limb line of collimation locating M.
M. Sine M.
M. Sine D mantissa marked measured method multiplied NOTE offsets parallel passed perpendicular plane of reference plot position prismoid protractor radius reading right angles scale of equal screws secant side sights similar triangles Sine Cotang slope spider's lines stakes station subtract surface survey taken Tang tangent theodolite traverse vernier plate vertical plane yards
Popular passages
Page 56 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 12 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 17 - The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right.hand column, belong to the degrees below.
Page 37 - 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, etc.
Page 12 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 10 - When a number lies between 1 and 10, its logarithm lies between 0 and 1; that is, it is equal to 0, plus a decimal; if a number lies between 10...
Page 9 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Page 11 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 130 - MC; hence, the double meridian distance of a course is equal to the double meridian distance of the preceding course, plus the departure of that course, plus the departure of the course itself : if .there is no preceding course, the first two terms become zero.
Page 38 - The secant of an arc is the line drawn from the centre of the circle through one extremity of the arc, and limited by the tangent passing through the other extremity. Thus, 00 is the secant of the arc AB.