The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 2
... suppose unity or any one thing to be di vided into any assigned number of equal parts , this number is called the denominator ; and if we chuse to take any number of such parts less than the whole , this is called the numerator of a ...
... suppose unity or any one thing to be di vided into any assigned number of equal parts , this number is called the denominator ; and if we chuse to take any number of such parts less than the whole , this is called the numerator of a ...
Page 58
... suppose that to be 4g , which will be contained twice in AB , and three times in BD , the parts 4g , gB , Bh , hi , and i D being all equal , and let the lines gC , hC , and i C , be drawn : then ( by cor . to theo . 13. ) all the small ...
... suppose that to be 4g , which will be contained twice in AB , and three times in BD , the parts 4g , gB , Bh , hi , and i D being all equal , and let the lines gC , hC , and i C , be drawn : then ( by cor . to theo . 13. ) all the small ...
Page 64
... tri- angle BFG , whose side BG = AE , and GF = ED ( by the last ) then also the angle B = A ; if we suppose one triangle be laid on the other , the sides will mutually agree with each other , and therefore be 64 GEOMETRICAL.
... tri- angle BFG , whose side BG = AE , and GF = ED ( by the last ) then also the angle B = A ; if we suppose one triangle be laid on the other , the sides will mutually agree with each other , and therefore be 64 GEOMETRICAL.
Page 72
... suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from the line AB ; take 45 degrees , the quantity ...
... suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from the line AB ; take 45 degrees , the quantity ...
Page 85
... ( suppose 60o ) is found thus . Make the given radius , suppose two inches , a transverse distance to 45 and 45 at the beginning of the scale of upper tangents ; and then the required number 60 ° 00 ' may be taken from this scale . Given ...
... ( suppose 60o ) is found thus . Make the given radius , suppose two inches , a transverse distance to 45 and 45 at the beginning of the scale of upper tangents ; and then the required number 60 ° 00 ' may be taken from this scale . Given ...
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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.