A Treatise on Practical Surveying: Which is Demonstrated from Its First Principles, Wherein Every Thing that is Useful and Curious in that Art, is Fully Considered and ExplainedF. Lucas, Jun. and Joseph Cushing, 1816 - 472 σελίδες |
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Σελίδα 46
... sine of an arc is half the chord of twice that arc . For AD is the sine of the arc AF and AF is half the arc , and AD half the chord AB ( by theo . 8. ) therefore the cor . is plain . THEOREM X. fig . 30 , B In any triangle ABD , the ...
... sine of an arc is half the chord of twice that arc . For AD is the sine of the arc AF and AF is half the arc , and AD half the chord AB ( by theo . 8. ) therefore the cor . is plain . THEOREM X. fig . 30 , B In any triangle ABD , the ...
Σελίδα 47
... sine of BAD ; the same way may be proved , that half of AD is the sine of ABD , and the half of AB the sine of ADB . Q. E. D. THEOREM XI . If a right line GH cut two other right lines AB , CD , so as to make I- the alternate angles AEF ...
... sine of BAD ; the same way may be proved , that half of AD is the sine of ABD , and the half of AB the sine of ADB . Q. E. D. THEOREM XI . If a right line GH cut two other right lines AB , CD , so as to make I- the alternate angles AEF ...
Σελίδα 51
... sine tangent , & c . of that arc will be also greater . Therefore , in general , the chord , sine , tan- gent , & c . of any arc is proportional to the radius of the circle ) the same way the chord AB is to the chord a b , in the same ...
... sine tangent , & c . of that arc will be also greater . Therefore , in general , the chord , sine , tan- gent , & c . of any arc is proportional to the radius of the circle ) the same way the chord AB is to the chord a b , in the same ...
Σελίδα 58
... sine , FH or CL its co - sine ; BK its tan- gent DI its co - tangent ; CK its secant , and CI its co- secant . fig . 8 . O fig . 8 . D 1K F H H B E 1. The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is ...
... sine , FH or CL its co - sine ; BK its tan- gent DI its co - tangent ; CK its secant , and CI its co- secant . fig . 8 . O fig . 8 . D 1K F H H B E 1. The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is ...
Σελίδα 59
... sine to its co - sine . 5. The co - tangent of an arc is to radius , as radius to the tangent . 6. The cosine of an arc is to radius , as radius is to the secant . 7. The sine of an arc is to radius , as the tangent is to the secant ...
... sine to its co - sine . 5. The co - tangent of an arc is to radius , as radius to the tangent . 6. The cosine of an arc is to radius , as radius is to the secant . 7. The sine of an arc is to radius , as the tangent is to the secant ...
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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Συχνά εμφανιζόμενοι όροι και φράσεις
20 perches 50 Dist ABCD acres altitude annexed Answer base bearing bisect blank line centre chains and links chord circle circumferentor Co-secant Secant Co-sine Co-tang column contained cyphers decimal decimal fraction Dep Lat difference divided divisor draw east edge EXAMPLE feet field-book figures four-pole chains given angle half the sum height Hence hypothenuse inches instrument latitude length logarithm magnetical measure meridian distance multiplied needle number of degrees object off-sets parallel parallelogram perpendicular piece of ground plane Portmarnock PROB proportion protractor quotient radius right angles right line scale of equal SCHOLIUM sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance Tang tangent thence theo theodolite THEOREM thro trapezium triangle ABC trigonometry true amplitude true azimuth two-pole chains vane variation whence