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angle of elevation axis azimuth base line calculated called centre clamp-screw column comp compass Cosine Cotang course curve degrees determined difference of latitude difference of level direction divided double meridian distance draw east error example extremity feet field notes figure find the area given point ground Gunter's chain hence horizontal angles horizontal distance horizontal plane hypothenuse inches instrument intersection latitude and departure length line AC line of collimation logarithm M. M. Sine marked method multiplied natural sines needle object opposite station paper parture passing perpendicular piece of land plain-table plane of reference PROBLEM protractor radius right angles right-angled triangle side sights similar triangles spider's lines square chains square rods staff subtract surface survey tance Tang tangent telescope theodolite true meridian vernier plate vertical limb yards
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 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 19 - 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.