The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
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Σελίδα 45
... half , third , fourth , & c . part . Note , Though these postulates are not always quoted , the reader will easily perceive where , and in what sense they are to be understood . AXIOMS or self - evident TRUTHS . 1. Things that are equal ...
... half , third , fourth , & c . part . Note , Though these postulates are not always quoted , the reader will easily perceive where , and in what sense they are to be understood . AXIOMS or self - evident TRUTHS . 1. Things that are equal ...
Σελίδα 51
... half the arc it subtends or stands on . Fig . 26 . Cor . 2. Hence all angles at the circumference of a circle which stands on the same chord as AB , are equal to each other , for they are all measured by half the arc they stand on , viz ...
... half the arc it subtends or stands on . Fig . 26 . Cor . 2. Hence all angles at the circumference of a circle which stands on the same chord as AB , are equal to each other , for they are all measured by half the arc they stand on , viz ...
Σελίδα 52
... half the arc AB , but as the arc AB is less than a semicircle , therefore half the arc AB , or the angle ADB is less than half a semi- circle , and consequently less than a right angle . Fig . 27 . Cor . 4. An angle in a segment less ...
... half the arc AB , but as the arc AB is less than a semicircle , therefore half the arc AB , or the angle ADB is less than half a semi- circle , and consequently less than a right angle . Fig . 27 . Cor . 4. An angle in a segment less ...
Σελίδα 53
... half the chord of twice that arc . For AD is the sine of the arc AF , ( by def . 22. ) AF is half the arc , and AD half the chord AB ( by theo . 8. ) therefore the corollary is plain . THEO.X. PL . 1. fig . 30 . In any triangle ABD , the ...
... half the chord of twice that arc . For AD is the sine of the arc AF , ( by def . 22. ) AF is half the arc , and AD half the chord AB ( by theo . 8. ) therefore the corollary is plain . THEO.X. PL . 1. fig . 30 . In any triangle ABD , the ...
Σελίδα 54
... half the arc BKD , ( by cor 1 theo . 7. ) viz . the 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 ...
... half the arc BKD , ( by cor 1 theo . 7. ) viz . the 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 ...
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acres altitude Answer arch base bearing blank line centre chains and links circle circle of latitude circumferentor Co-sec Co-tang column compasses contained decimal Dep Lat Dep difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied Natural Co-sines natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole pole star PROB proportion protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect semicircle Sextant side sights square root station stationary distance subtracted survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry vane versed sine vulgar fraction