Elements of Surveying: With a Description of the Instruments and the Necessary Tables, Including a Table of Natural Sines |
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Page 19
... angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said to be C perpendicular to CD . 11. Every angle BAC , less than a right angle , is an acute angle ; and every angle DEF , greater ...
... angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said to be C perpendicular to CD . 11. Every angle BAC , less than a right angle , is an acute angle ; and every angle DEF , greater ...
Page 20
... angles right angles . The rectangle , which has its angles right angles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal ...
... angles right angles . The rectangle , which has its angles right angles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal ...
Page 21
... right angles are equal to each other . 11. From one point to another , only one straight line can be drawn . 12 ... Angles on paper . Construction of Problems . 18. Drawings , or delineations on paper , are the copies of things which ...
... right angles are equal to each other . 11. From one point to another , only one straight line can be drawn . 12 ... Angles on paper . Construction of Problems . 18. Drawings , or delineations on paper , are the copies of things which ...
Page 35
... angles , having their vertices at the centre , the four right angles which can be formed about the same point , are measured by 360 degrees ; two right angles by 180 de grees , one right angle by 90 degrees , and an angle less than a right ...
... angles , having their vertices at the centre , the four right angles which can be formed about the same point , are measured by 360 degrees ; two right angles by 180 de grees , one right angle by 90 degrees , and an angle less than a right ...
Page 41
... angle , is to their difference , as the tangent of half the sum of the two ... angles C and B ( Bk . I , Prop . XXV , Cor . 6 ) . But the angle CIE being ... right angle ICE must be inscribed in a semicircle . But CE is the tangent of ...
... angle , is to their difference , as the tangent of half the sum of the two ... angles C and B ( Bk . I , Prop . XXV , Cor . 6 ) . But the angle CIE being ... right angle ICE must be inscribed in a semicircle . But CE is the tangent of ...
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Common terms and phrases
adjusted angle of elevation axis azimuth back-sights base line called centre clamp-screw coincide column comp compass Cosine D Cosine Sine Cotang course curve decimal degrees determined difference of level direction divided double meridian distance draw east elongation error example feet field notes figure given angle given line given point ground Gunter's chain hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection LatDegDegDegDeg Distance latitude and departure length line AC line of collimation logarithm M.
M. Sine marked measure multiplied natural sines object opposite station paper parallel passing perpendicular plane of reference protractor radius right angles right-angled triangle rods scale of equal secant side sights similar triangles Sine Sine spider's lines square chains staff subtract surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards
Popular passages
Page 12 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure.
Page 41 - 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 half their difference.
Page 73 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower Cway 33° 45' ; required the height of the tower.
Page 113 - B, from B to C, from C to D, from D to E, and from E to A ; and measure the distances AB, BC, CD, DE, and E.1.
Page 19 - ... perimeter of the polygon. 14. The polygon of three sides, the simplest of all, is called a triangle; that of four sides, a quadrilateral; that of...
Page 34 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 21 - If equals be added to equals, the wholes will be equal. 3. If equals be taken, from equals, the remainders will be equal. 4. If equals be added to unequals, the wholes will be unequal.
Page 20 - And lastly, the trapezoid, only two of whose sides are parallel. 18. A diagonal is a line which joins the vertices of two angles not adjacent to each other. Thus, AF, AE, AD, AC, are diagonals.
Page 11 - 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 35 - 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, OC is the secant of the arc AB.