The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 11
... quantity contain several deno- minations , reduce them to the lowest term for the numerator ; reduce likewise that quantity , whose fraction is sought , to the same denomination for the denominator of a vulgar fraction ; then divide as ...
... quantity contain several deno- minations , reduce them to the lowest term for the numerator ; reduce likewise that quantity , whose fraction is sought , to the same denomination for the denominator of a vulgar fraction ; then divide as ...
Page 14
... quantities to their corresponding decimals , and having stated the three known terms , so that the fourth , or required quantity , may be as much greater , or less than the third , as the second term is greater , or less than the first ...
... quantities to their corresponding decimals , and having stated the three known terms , so that the fourth , or required quantity , may be as much greater , or less than the third , as the second term is greater , or less than the first ...
Page 44
... quantities are said to be in proportion . when the product of the extremes is equal to that of the means thus if multiplied by D , be equal to B multiplied by C , then A is said to be to Bas C is to D. POSTULATES OR PETITIONS . 1 1 ...
... quantities are said to be in proportion . when the product of the extremes is equal to that of the means thus if multiplied by D , be equal to B multiplied by C , then A is said to be to Bas C is to D. POSTULATES OR PETITIONS . 1 1 ...
Page 59
... quantities connected with the sign ( :) the conclusion is al- ways drawn from the first two and last two propor- tionals . THEO . XIX . PL . 2. fig . 2 . Triangles ABC , DEF , standing upon equal bases AB and DE , are to each other as ...
... quantities connected with the sign ( :) the conclusion is al- ways drawn from the first two and last two propor- tionals . THEO . XIX . PL . 2. fig . 2 . Triangles ABC , DEF , standing upon equal bases AB and DE , are to each other as ...
Page 72
... quantity of the given angle , from the same scale of chords , and lay it on that circle from a to b , through △ and b , draw the line AbC ; and the angle A will be an angle of 45 degrees , as required . If the given angle be more than ...
... quantity of the given angle , from the same scale of chords , and lay it on that circle from a to b , through △ and b , draw the line AbC ; and the angle A will be an angle of 45 degrees , as required . If the given angle be more than ...
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Common terms and phrases
acres altitude Answer arch azimuth base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-tang column compasses contained decimal difference distance line divided divisions draw east Ecliptic edge feet field-book figures fore four-pole chains geom given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied natural co-sine natural sine needle Nonius number of degrees object observed off-sets opposite parallel parallelogram pegs perches perpendicular plane pole pole star Portmarnock PROB protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect Sextant side sights square station stationary distance subtract Sun's survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 38 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 197 - RULE. From half the sum of the three sides subtract each side severally.
Page 106 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.