Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
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Page 3
... manner , so as to render the higher branches of Plane Surveying comparatively easy . All the instruments needed for plotting have been carefully described ; and the uses of those required for the measurement of angles are fully ex ...
... manner , so as to render the higher branches of Plane Surveying comparatively easy . All the instruments needed for plotting have been carefully described ; and the uses of those required for the measurement of angles are fully ex ...
Page 33
... manner of representing a line upon paper , so that a given number of its parts shall correspond to the unit of the scale , whether that unit be an inch or any part of an inch . When the length of the line to be laid down is given , and ...
... manner of representing a line upon paper , so that a given number of its parts shall correspond to the unit of the scale , whether that unit be an inch or any part of an inch . When the length of the line to be laid down is given , and ...
Page 41
... manner : Opening the table at any page , as 42 , the sine of 24 ° is found to be 9.609313 ; that of 24 ° 1 ' , 9.609597 : their difference is 284 ; this being divided by 60 , the number of seconds in a minute , gives 4.73 , which is ...
... manner : Opening the table at any page , as 42 , the sine of 24 ° is found to be 9.609313 ; that of 24 ° 1 ' , 9.609597 : their difference is 284 ; this being divided by 60 , the number of seconds in a minute , gives 4.73 , which is ...
Page 42
... manner entirely similar . In regard to the cosine and cotangent , it must be remembered , that they increase while the arcs decrease , and decrease as the arcs are increased ; conse- quently , the proportional numbers found for the ...
... manner entirely similar . In regard to the cosine and cotangent , it must be remembered , that they increase while the arcs decrease , and decrease as the arcs are increased ; conse- quently , the proportional numbers found for the ...
Page 44
... manner , we should find , AB : AC :: sin C : sin B. THEOREM II . In any triangle , the sum of the two sides containing either angle , is to their difference , as the tangent of half the sum of the two other angles , to the tangent of ...
... manner , we should find , AB : AC :: sin C : sin B. THEOREM II . In any triangle , the sum of the two sides containing either angle , is to their difference , as the tangent of half the sum of the two other angles , to the tangent of ...
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Common terms and phrases
Applying logarithms axis azimuth back-sight base-line bearing chord clamp-screw column compass contour lines corresponding Cosine Cosine D Cotang course curve decimal degree of curvature degrees determined difference of level divided double meridian distance draw drawn east error example feet field-notes fore-sight given angle given line given point ground height of instrument hence horizontal angles horizontal distance horizontal plane inch intersection latitude and departure length limb line of collimation M.
M. Sine mantissa marked measured method multiplied notes offsets paper parallel passing perpendicular plane of reference plot position prismoid protractor radius reading right angles scale of equal screws secant side sights Sine D slope spider's lines stakes station subtract surface survey taken Tang tangent theodolite traverse vernier plate vertical plane wwwwwwwww 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.