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 Cushing & Jewett, J. Robinson printer, 1822 - 326 páginas |
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Página 42
... 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. In any triangle ABD , the half of each ...
... 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. In any triangle ABD , the half of each ...
Página 43
... sine of BAD ; the same way may be proved , that half of AD is the sine ABD , and the half of AB the sine of ADB . Q. E. D. THEOREM XII . If a right line GH cut two other right lines AB , CD , so as to make the alternate angles AEF , EFD ...
... sine of BAD ; the same way may be proved , that half of AD is the sine ABD , and the half of AB the sine of ADB . Q. E. D. THEOREM XII . If a right line GH cut two other right lines AB , CD , so as to make the alternate angles AEF , EFD ...
Página 47
... 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 ...
Página 54
... sine , FH or CL its co - sine ; BK its tangent , DI its co - tangent ; CK its secant , and CI its co - secant . fig . 8 . fir . 8 . D FXH 6 B F 1. The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is to ...
... sine , FH or CL its co - sine ; BK its tangent , DI its co - tangent ; CK its secant , and CI its co - secant . fig . 8 . fir . 8 . D FXH 6 B F 1. The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is to ...
Página 55
... sine of an arc is to its co - sine , as radius to its co - tangent 4. Or radius is to the co - tangent of an arc , as its sine is to its co - sine . 5. The co - tangent of an arc is to radius , as radius to the tangent . 6. The co - sine ...
... sine of an arc is to its co - sine , as radius to its co - tangent 4. Or radius is to the co - tangent of an arc , as its sine is to its co - sine . 5. The co - tangent of an arc is to radius , as radius to the tangent . 6. The co - sine ...
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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2021 |
Términos y frases comunes
20 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-secant co-sine Co-tang column compass contained cyphers decimal decimal fraction difference Dist 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 measure meridian distance multiplied needle number of degrees object off-sets opposite parallel parallelogram perpendicular piece of ground plane polygon Portmarnock PROB proportion protractor quotient radius right angles right line scale of equal SCHOLIUM secant second station sect semicircle side sights sine square root stationary distance stationary line sun's suppose survey taken tang tangent thence theo theodolite THEOREM thro triangle ABC trigonometry true amplitude true azimuth two-pole chains vane variation whence