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acres angle axis base line bearing calculated called centre chains column corresponding Cosine Cotang course curve decimal departure describe determined difference direction distance divided double meridian distance draw drawn east elongation enter equal error example extremity fall feet field figure give given greater ground half hence horizontal plane inches intersection known land latitude length less limb logarithm manner marked means measure meridian method multiplied needle notes object opposite parallel passing perpendicular piece plate position PROBLEM radius REMARK right angles rods rule scale screws side sights Sine square staff station suppose surface survey taken Tang telescope theodolite triangle true turn unit vernier vertical 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.