Elements of Surveying, and Navigation: With Descriptions of the Instruments and the Necessary Tables |
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Page 13
... two numbers which differ by 100 . We have then the proportion 100 87 : 65 : 56.55 , : kence , 56.55 is the number to be added to the logarithm To find from the table the number corresponding to a before found . SEC . L ] 13 LOGARITHMS .
... two numbers which differ by 100 . We have then the proportion 100 87 : 65 : 56.55 , : kence , 56.55 is the number to be added to the logarithm To find from the table the number corresponding to a before found . SEC . L ] 13 LOGARITHMS .
Page 14
... corresponding to a given logarithm . 10. Search in the columns of logarithms for the decimal part of the given logarithm : if it cannot be found in the table , take out the number corresponding to the next less logarithm and set it ...
... corresponding to a given logarithm . 10. Search in the columns of logarithms for the decimal part of the given logarithm : if it cannot be found in the table , take out the number corresponding to the next less logarithm and set it ...
Page 16
... corresponds to the division of their numbers ( Art . 4 ) . Hence , if we find the logarithm of the dividend , and from it subtract the logarithm of the divisor , the remainder will be the logarithm of the quotient . This additional ...
... corresponds to the division of their numbers ( Art . 4 ) . Hence , if we find the logarithm of the dividend , and from it subtract the logarithm of the divisor , the remainder will be the logarithm of the quotient . This additional ...
Page 21
... corresponding angle of the other , each to each . 23. Triangles are divided into classes with reference both to their sides and angles . 1. An equilateral triangle is one 2. An isosceles triangle is one which has only two which has its ...
... corresponding angle of the other , each to each . 23. Triangles are divided into classes with reference both to their sides and angles . 1. An equilateral triangle is one 2. An isosceles triangle is one which has only two which has its ...
Page 31
... corresponding number on the other arm : then lay the sector on the table without varying the angle . Now , if we regard the lines on the sector as the sides of a triangle , of which the line 40 , measured across , is the base , it is ...
... corresponding number on the other arm : then lay the sector on the table without varying the angle . Now , if we regard the lines on the sector as the sides of a triangle , of which the line 40 , measured across , is the base , it is ...
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Common terms and phrases
axis back-sight base line bearing called centre column comp Cosine Cosine D course decimal degrees determined diff difference of latitude difference of level direction divided double meridian distance draw east error example feet figure fore-sight given angle given line given point half hence horizontal distance horizontal line hypothenuse inch instrument intersection LatDegDegDegDeg length limb line of collimation logarithm longitude M.
M. Sine marked measure method middle latitude miles multiplied paper parallel PARALLEL SAILING perpendicular plane of reference plane sailing plane triangle protractor quotient radius right angles right-angled triangle rods sailing scale of chords scale of equal screws secant sector sides sights Sine Cotang Sine D spherical excess spider's lines square chains staff station straight line subtract surface survey Tang tangent telescope theodolite trigonometrical vernier plate vertical yards
Popular passages
Page 14 - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 42 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 13 - 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 25 - ... 20. An EQUILATERAL polygon is one which has all its sides equal; an equiangular polygon, is one which has all its angles equal. 21. Two polygons are mutually equilateral, when they have their sides equal each to each, and placed in the same order : that is to say, when following their bounding lines in the same direction, the first side of the one is equal to the first side of the other, the second to the second, the third to the third, and so on. 22. Two polygons are mutually equiangular, when...
Page 20 - The difference of the logarithms, as here used, means the algebraic difference ; so that, if the logarithm of the divisor have a negative characteristic, its sign must be changed to positive, after diminishing it by the unit, if any, carried in the subtraction from the decimal part of the logarithm.
Page 135 - Soon after the organization of the present government, several of the states ceded to the United States large tracts of wild land, and these together with the lands since acquired by treaty and purchase, constitute what is called the public lands or public domain. Previous to the year 1802 these lands were parcelled out without reference to any general plan, in consequence of which the titles often conflicted with each other, and in many cases, several grants .covered the same premises. In the year...
Page 96 - Then, find the areas of the triangles separately, and their sum will be the area of the quadrilateral.
Page 43 - The tangent of an arc is the line which touches it at one extremity, and is limited by a line drawn through the other extremity and the centre of the circle. Thus, AC is the tangent of the arc AB.
Page 28 - B + 0, the product would be indicated thus; (A+D)x(A-B+C), whatever is enclosed within the curved lines, being considered as a single quantity. The same thing may also be indicated by a bar : thus, A+B+OXD, denotes that the sum of A, B and C, is to be multiplied by D.
Page 1 - 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.