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 9
... Secants . DEFINITION . SURVEYIN SURVEYING is that art which enables us to give a plan or just representations , of any piece or par- cel of land and to determine the content thereof , in such measure as is agreeable and customary to the ...
... Secants . DEFINITION . SURVEYIN SURVEYING is that art which enables us to give a plan or just representations , of any piece or par- cel of land and to determine the content thereof , in such measure as is agreeable and customary to the ...
Página 54
... 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 the tangent of an arc , as the co- sine of it is to the sine . 3. The sine of an ...
... 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 the tangent of an arc , as the co- sine of it is to the sine . 3. The sine of an ...
Página 55
... secant . 7. The sine of an arc is to radius , as the tangent is to the secant . The triangles CLH and CBK , being similar , ( by theo . 16. ) 1. CL : LH :: CB : BK . 2. Or , CB : BK :: CL : LH . The triangles CFH and CDI , being similar ...
... secant . 7. The sine of an arc is to radius , as the tangent is to the secant . The triangles CLH and CBK , being similar , ( by theo . 16. ) 1. CL : LH :: CB : BK . 2. Or , CB : BK :: CL : LH . The triangles CFH and CDI , being similar ...
Página 70
... of these ADB be added ; then DEA + ADB + DBC = ABCDE = ( DHA + BBD + DFB ) DHF . PROB . XX . To project the line of chords , sines , tangents , and secants , to any radius , fig . 60 , MO Secants 10 09 60 . 80 8070 Tangents 60 70 PROBLEMS .
... of these ADB be added ; then DEA + ADB + DBC = ABCDE = ( DHA + BBD + DFB ) DHF . PROB . XX . To project the line of chords , sines , tangents , and secants , to any radius , fig . 60 , MO Secants 10 09 60 . 80 8070 Tangents 60 70 PROBLEMS .
Página 71
... Secants 10 09 60 . 80 8070 Tangents 60 50 D 40 DENCE 60 30 20 70 40 80 70 Sines 0 80 40 50 60 70 20 30 40 50 10 20 30 40 50 60 70 80 Chords 30 20 10 B A C On the line AB , let a semicircle ADB be described ; let CD be drawn ...
... Secants 10 09 60 . 80 8070 Tangents 60 50 D 40 DENCE 60 30 20 70 40 80 70 Sines 0 80 40 50 60 70 20 30 40 50 10 20 30 40 50 60 70 80 Chords 30 20 10 B A C On the line AB , let a semicircle ADB be described ; let CD be drawn ...
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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