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acres angle of elevation axis azimuth base line bearing called centre clamp-screw coincide column comp Cosine Cotang course curve degrees determined difference of level direction divided double meridian distance draw east elongation error example feet field notes figure frustrum given angle given line given point ground half Hence horizontal angle horizontal distance horizontal line horizontal plane hypothenuse inches instrument intersection latitude and departure length line of collimation logarithm marked measure multiplied natural sines needle object ºff paper parallel passing perpendicular piece of land plane of reference PROBLEM protractor quotient radius right angles right-angled triangle scale of equal secant side sights similar triangles spider's lines square chains staff subtract surface survey Tang tangent theodolite thumb-screw Trigonometry true meridian vernier plate vertical limb yards
Página 12 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure.
Página 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.
Página 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.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.