The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtE. Duyckinck, 1811 - 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 + ACB = 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 + ACB = 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 are FG = DE , and through Band 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 are FG = DE , and through Band 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 Cand D , as centres , with any interval greater than AC or AD , describe two arcs intersecting each ... distance from D to B , let a circle be described cut- ting A Bin E ; draw from E through D 66 GEOMETRICAL.
... distances , AC , AD ; and from Cand D , as centres , with any interval greater than AC or AD , describe two arcs intersecting each ... distance from D to B , let a circle be described cut- ting A Bin 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 = 4G , 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 = 4G , 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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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 197 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 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.
Σελίδα 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.