The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtE. Duyckinck, 1811 - 508 pages |
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Page 45
... lines and angles to others given , be granted as possible : that it is possible for one right line to be per- pendicular to another , at a given point or distance ; and that every magnitude has its half , third , fourth , & c . part ...
... lines and angles to others given , be granted as possible : that it is possible for one right line to be per- pendicular to another , at a given point or distance ; and that every magnitude has its half , third , fourth , & c . part ...
Page 65
... lines , they are man- ifestly one and the same triangle . Otherwise . Upon the centres A and B , at any distance , let two arcs , DE , FG , be described ; make the are FG = DE , and through Band G draw the line BG , and it is done . For ...
... lines , they are man- ifestly one and the same triangle . Otherwise . Upon the centres A and B , at any distance , let two arcs , DE , FG , be described ; make the are FG = DE , and through Band G draw the line BG , and it is done . For ...
Page 66
... distances , AC , AD ; and from Cand D , as centres , with any interval greater than AC or AD , describe two arcs intersecting each other in B ; from A to B draw the line ... distance from D to B , let a circle be described cut- ting A Bin E ...
... distances , AC , AD ; and from Cand D , as centres , with any interval greater than AC or AD , describe two arcs intersecting each other in B ; from A to B draw the line ... distance from D to B , let a circle be described cut- ting A Bin E ...
Page 67
... line BC . From any point D , in the given line , take the distance to the given point A , and with it describe a circle AGE , make GE = 4G , join the points A and E , by the line AFE , and AF will be the per- pendicular required . Let ...
... line BC . From any point D , in the given line , take the distance to the given point A , and with it describe a circle AGE , make GE = 4G , join the points A and E , by the line AFE , and AF will be the per- pendicular required . Let ...
Page 71
... lines C and D have . Draw an indefinite blank line , AF , to the ex- tremity of the line AB , to make with it any an ... distance to any of the three points A , B , C , and describe the circle ABC , and it is done . For , by cor . to ...
... lines C and D have . Draw an indefinite blank line , AF , to the ex- tremity of the line AB , to make with it any an ... distance to any of the three points A , B , C , and describe the circle ABC , and it is done . For , by cor . to ...
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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.