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 44
... chord as AB , are equal to each other , for they are all measured by half the arc they stand on , viz . by half the arc AB . fig . 26 . 1 A fig . 26 . Cor . 3. Hence an angle in a segment greater than a semicircle is less than a right ...
... chord as AB , are equal to each other , for they are all measured by half the arc they stand on , viz . by half the arc AB . fig . 26 . 1 A fig . 26 . Cor . 3. Hence an angle in a segment greater than a semicircle is less than a right ...
Σελίδα 45
... chord , then since CA = CB , the angle CAB - CBA ( by the lemma . ) But the trian- gles ADC , BDC are right angled ... chord at right angles , is a diameter ; for a line drawn from the centre perpendicular to a chord , bisects that chord ...
... chord , then since CA = CB , the angle CAB - CBA ( by the lemma . ) But the trian- gles ADC , BDC are right angled ... chord at right angles , is a diameter ; for a line drawn from the centre perpendicular to a chord , bisects that chord ...
Σελίδα 46
... 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 half of each side is the sine ...
... 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 half of each side is the sine ...
Σελίδα 47
... chord of BK is the measure of the angle BAD ; therefore ( by cor . to the last ) BE the half of BD is the 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. ...
... chord of BK is the measure of the angle BAD ; therefore ( by cor . to the last ) BE the half of BD is the 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. ...
Σελίδα 50
... chord of 60 degrees is always equal in length to the radius . fig . 38 . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn ; then AB = CB = AC . fig . 33 . C B In the triangle ABC , the angle ...
... chord of 60 degrees is always equal in length to the radius . fig . 38 . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn ; then AB = CB = AC . fig . 33 . C B In the triangle ABC , the angle ...
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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
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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