The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
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Σελίδα 46
... distance , they will intersect each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is a proposition , wherein something is proposed to be demonstrated . A problem is a proposition , wherein ...
... distance , they will intersect each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is a proposition , wherein something is proposed to be demonstrated . A problem is a proposition , wherein ...
Σελίδα 49
... distance , as D , then ( by the last ) ACD = B + A ; to both add ACB ; then ACD + ÁCB = A + B + ACB ; but ACD + ACB = 2 right angles ( by theo . 1. ) ; therefore the three an- gles A + B + ACB = 2 right angles . Q. E. D. Cor . 1. Hence ...
... distance , as D , then ( by the last ) ACD = B + A ; to both add ACB ; then ACD + ÁCB = A + B + ACB ; but ACD + ACB = 2 right angles ( by theo . 1. ) ; therefore the three an- gles A + B + ACB = 2 right angles . Q. E. D. Cor . 1. Hence ...
Σελίδα 65
... distance , let two arcs , DE , FG , be described ; make the arc FG = DE , and through B and G draw the line BG , and it is done . For since the chords ED , GF , are equal , the angles A and B are also equal , as before ( by def.17 ...
... distance , let two arcs , DE , FG , be described ; make the arc FG = DE , and through B and G draw the line BG , and it is done . For since the chords ED , GF , are equal , the angles A and B are also equal , as before ( by def.17 ...
Σελίδα 66
... distances , AC , AD ; and from C and D , as cen- tres , with any interval greater than AC or AD , describe two arcs intersecting ... distance from D to B , let a circle be described cut- ting AB in E ; draw from E through D 66 GEOMETRICAL.
... distances , AC , AD ; and from C and D , as cen- tres , with any interval greater than AC or AD , describe two arcs intersecting ... distance from D to B , let a circle be described cut- ting AB in E ; draw from E through D 66 GEOMETRICAL.
Σελίδα 67
... distance to the given point A , and with it describe a circle AGE , make GE = AG , join the points A and E , by the line AFE , and AF will be the per- pendicular required . Let DA , DE , be drawn ; the angle ADF - FDE , DA = DE , being ...
... distance to the given point A , and with it describe a circle AGE , make GE = AG , join the points A and E , by the line AFE , and AF will be the per- pendicular required . Let DA , DE , be drawn ; the angle ADF - FDE , DA = DE , being ...
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acres altitude Answer arch base bearing blank line centre chains and links circle circle of latitude circumferentor Co-sec Co-tang column compasses contained decimal Dep Lat Dep difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied Natural Co-sines natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole pole star PROB proportion protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect semicircle Sextant side sights square root station stationary distance subtracted survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry vane versed sine vulgar fraction