Elements of Surveying, and Navigation: With Descriptions of the Instruments and the Necessary Tables |
From inside the book
Results 1-5 of 65
Page 26
... draw through a given point a line which shall be paral- lel to a given line . C 38. Let C be the given point , and AB the given line . Place the hypothenuse of the tri- angle against the edge of the ruler , and then place the ruler and ...
... draw through a given point a line which shall be paral- lel to a given line . C 38. Let C be the given point , and AB the given line . Place the hypothenuse of the tri- angle against the edge of the ruler , and then place the ruler and ...
Page 27
... Draw af Produce ba to the left , and lay off the unit of the 1 , 2 , 3 , & c . Then scale any convenient number of times , and mark the points SEC . IL GEOMETRICAL CONSTRUCTIONS . 27 Scale of Equal Parts, Diagonal Scale of Equal Parts,-
... Draw af Produce ba to the left , and lay off the unit of the 1 , 2 , 3 , & c . Then scale any convenient number of times , and mark the points SEC . IL GEOMETRICAL CONSTRUCTIONS . 27 Scale of Equal Parts, Diagonal Scale of Equal Parts,-
Page 28
... draw parallels to ab , as in the figure . Now , the small divisions of the line ab are each one- tenth ( .1 ) of ab ; they are therefore .1 of ad , or .1 of ag or gh . If we consider the triangle adf , we see that the base df is one ...
... draw parallels to ab , as in the figure . Now , the small divisions of the line ab are each one- tenth ( .1 ) of ab ; they are therefore .1 of ad , or .1 of ag or gh . If we consider the triangle adf , we see that the base df is one ...
Page 29
... drawn for every ten de- grees . The scale of chords being once constructed , the radius of the circle from which the ... draw the line AC , and BAO will be the required angle . SEC . II ] GEOMETRICAL CONSTRUCTIONS . 29 Scale of Chords,
... drawn for every ten de- grees . The scale of chords being once constructed , the radius of the circle from which the ... draw the line AC , and BAO will be the required angle . SEC . II ] GEOMETRICAL CONSTRUCTIONS . 29 Scale of Chords,
Page 30
... drawn upon paper . It consists of a brass semicircle , ABO , divided to half degrees . The degrees are numbered from ... draw a line through the point so marked and the angular point : this line will make with the given line the required ...
... drawn upon paper . It consists of a brass semicircle , ABO , divided to half degrees . The degrees are numbered from ... draw a line through the point so marked and the angular point : this line will make with the given line the required ...
Other editions - View all
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.