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 42
... degrees as the arc contains parts of 360 : so the radius being the sine of a quadrant becomes the sine of 90 de- g ces , or the fourth part of the circle , which is 360 degrees . 21. The versed sine of an are is that part 40 GEOMETRY .
... degrees as the arc contains parts of 360 : so the radius being the sine of a quadrant becomes the sine of 90 de- g ces , or the fourth part of the circle , which is 360 degrees . 21. The versed sine of an are is that part 40 GEOMETRY .
Σελίδα 57
... degrees , and the chord AB be drawn ' : then AB = CB = ¿ C . In the triangle ABC , the angle ACB is 60 de- grees , being measured by the arc AEB ; therefore the sum of the other two angles is 120 degrees ( by Cor . 1. theo . 5. ) but ...
... degrees , and the chord AB be drawn ' : then AB = CB = ¿ C . In the triangle ABC , the angle ACB is 60 de- grees , being measured by the arc AEB ; therefore the sum of the other two angles is 120 degrees ( by Cor . 1. theo . 5. ) but ...
Σελίδα 72
... degrees , at the point A , of the line AB , suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from ...
... degrees , at the point A , of the line AB , suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from ...
Σελίδα 82
... degrees expressed by those numbers . Every fifth degree is denoted by a line somewhat longer than the rest ; between every number and each fifth degree , there are four divi- sions , longer than the intermediate adjacent ones , these ...
... degrees expressed by those numbers . Every fifth degree is denoted by a line somewhat longer than the rest ; between every number and each fifth degree , there are four divi- sions , longer than the intermediate adjacent ones , these ...
Σελίδα 85
... degrees , and take the transverse distance of this or , and lay it off twice , if the degrees were halved , three times if the third was used as a transverse distance . Case 3. When the required angle is less than 6 degrees ; suppose 3 ...
... degrees , and take the transverse distance of this or , and lay it off twice , if the degrees were halved , three times if the third was used as a transverse distance . Case 3. When the required angle is less than 6 degrees ; suppose 3 ...
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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.