The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtJ.J. Harper, 1828 - 435 páginas |
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Página 42
... distance ; and that every magnitude has its half , third , fourth , & c . part . Note , Though these postulates are not always quoted , the reader will easily perceive where , and in what sense they are to be understood . AXIOMS , OR ...
... distance ; and that every magnitude has its half , third , fourth , & c . part . Note , Though these postulates are not always quoted , the reader will easily perceive where , and in what sense they are to be understood . AXIOMS , OR ...
Página 43
... 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 ...
Página 45
... 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 angles A + B + ACB = 2 right angles . Q. E. D : * This Corollary ...
... 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 angles A + B + ACB = 2 right angles . Q. E. D : * This Corollary ...
Página 56
... distances AE , AD , then , with any distance more than the half of DE , describe two arcs to cut each other in some point F ; and the right line AF , joining the points A and F , will bisect the given angle BAC . For if DF and FE be ...
... distances AE , AD , then , with any distance more than the half of DE , describe two arcs to cut each other in some point F ; and the right line AF , joining the points A and F , will bisect the given angle BAC . For if DF and FE be ...
Página 57
... distance from D to B , let a circle be described cutting AB in E ; draw from E through D the right line EDC , cutting the periphery in C , and join CB ; and that is the perpendicular required . EBC being a semicircle , the angle EBC ...
... distance from D to B , let a circle be described cutting AB in E ; draw from E through D the right line EDC , cutting the periphery in C , and join CB ; and that is the perpendicular required . EBC being a semicircle , the angle EBC ...
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Términos y frases comunes
ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal difference of latitude Dist divided divisions divisor draw east Ecliptic edge EXAMPLE feet field-book figure four-pole chains given angle given number half the sum height Hence Horizon glass hypothenuse inches instrument length logarithm measure Meridian Altitude meridian distance method multiplied natural co-sine natural number natural sine Nonius number of degrees object observed off-sets opposite parallel parallelogram perches perpendicular plane prob PROBLEM proportional protractor Quadrant quotient radius rhombus right angles right line Secant sect semicircle Sextant side square root station subtract Sun's survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence