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 45
... 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 . Note ...
... 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 . Note ...
Σελίδα 46
... right angles are equal to one another . 8. If two right lines not parallel , be produced towards their nearest distance , they will intersect each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is ...
... right angles are equal to one another . 8. If two right lines not parallel , be produced towards their nearest distance , they will intersect each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is ...
Σελίδα 47
... right angles , or two angles equal to two right angles . 1. If AB be perpendicular to CD , then ( by def . 10. ) the angles CBA , and ABD , will be each a right angle . 2. But if EB fall slantwise on CD , then are the angles DBE + EBC ...
... right angles , or two angles equal to two right angles . 1. If AB be perpendicular to CD , then ( by def . 10. ) the angles CBA , and ABD , will be each a right angle . 2. But if EB fall slantwise on CD , then are the angles DBE + EBC ...
Σελίδα 48
... right angles ; and AED + AEB = two right angles ; wherefore taking AED from both , there remains CED AEB . Q. E. D. THEO . III . PL . 1. fig . 22 . If a right line cross two parallels , as GH docs AB and CD , then , 1. Their external ...
... right angles ; and AED + AEB = two right angles ; wherefore taking AED from both , there remains CED AEB . Q. E. D. THEO . III . PL . 1. fig . 22 . If a right line cross two parallels , as GH docs AB and CD , then , 1. Their external ...
Σελίδα 49
... right angles ( by theo . 1. ) Therefore EFD + FEB are equal to two right angles : after the same manner we prove that AEF + CFE are equal to two right angles . Q. E. D. THEO . IV . PL . 1. fig . 23 . In any triangle ABC , one of its ...
... right angles ( by theo . 1. ) Therefore EFD + FEB are equal to two right angles : after the same manner we prove that AEF + CFE are equal to two right angles . Q. E. D. THEO . IV . PL . 1. fig . 23 . In any triangle ABC , one of its ...
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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 difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given angle given number half the sum Horizon glass hypothenuse inches instrument latitude length logarithm measure meridian distance minutes multiplied 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 side sights square root station stationary distance subtracted survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Δημοφιλή αποσπάσματα
Σελίδα 52 - 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 39 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Σελίδα 18 - DISTINGUISH the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points shew the number of figures the root will consist of. 2. " FIND the greatest square number in the first, or left hand period...
Σελίδα 120 - 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 31 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Σελίδα 87 - On the line of lines make the lateral distance 10, a transverse distance between 8 on one leg, and 6 on the other leg. On the line of sines make the lateral distance 90, a transverse distance from 45 to 45 ; or from 40 to 50 ; or from 30 to 60 ; or from the sine of any degree to their complement.
Σελίδα 7 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 82 - ... longer than the intermediate adjacent ones, these are whole degrees ; the shorter ones, or those of the third order, are 30 minutes. From the centre, to 60 degrees, the line of sines is divided like the line of tangents ; from 60 to 70, it is divided only to every degree ; from 70 to 80, to every two degrees ; from 80 to 90, the division must be estimated by the eye.