The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 88.
Σελίδα 40
... sine of an arc , is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so ...
... sine of an arc , is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so ...
Σελίδα 41
... sine and the circumference : thus LB is the versed sine of the arc HB . fig . 8 . 22. The tangent of an arc is a right line touch- ing the periphery , being perpendicular to the end of the diameter , and is terminated by a line drawn ...
... sine and the circumference : thus LB is the versed sine of the arc HB . fig . 8 . 22. The tangent of an arc is a right line touch- ing the periphery , being perpendicular to the end of the diameter , and is terminated by a line drawn ...
Σελίδα 42
... sine , tangent , and secant of an arc , is also the sine , tangent , and secant of an angle whose measure the arc is : thus because the arc HB is the measure of the angle HCB , and since HL is the sine , BK the tangent , and CK the ...
... sine , tangent , and secant of an arc , is also the sine , tangent , and secant of an angle whose measure the arc is : thus because the arc HB is the measure of the angle HCB , and since HL is the sine , BK the tangent , and CK the ...
Σελίδα 53
... sine of Cor . Hence the sine chord of twice that arc . 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 ...
... sine of Cor . Hence the sine chord of twice that arc . 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 ...
Σελίδα 54
... 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. THEO . XI . PL . 1. fig . 22 . If a right line GHcut two other right lines AB , CD , so as to make the alternate ...
... 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. THEO . XI . PL . 1. fig . 22 . If a right line GHcut two other right lines AB , CD , so as to make the alternate ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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 difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given angle given number half the sum Horizon glass hypothenuse inches instrument latitude length logarithm measure meridian distance minutes multiplied 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 side sights square root station stationary distance subtracted survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Δημοφιλή αποσπάσματα
Σελίδα 52 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 39 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Σελίδα 18 - DISTINGUISH the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points shew the number of figures the root will consist of. 2. " FIND the greatest square number in the first, or left hand period...
Σελίδα 120 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 31 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Σελίδα 87 - On the line of lines make the lateral distance 10, a transverse distance between 8 on one leg, and 6 on the other leg. On the line of sines make the lateral distance 90, a transverse distance from 45 to 45 ; or from 40 to 50 ; or from 30 to 60 ; or from the sine of any degree to their complement.
Σελίδα 7 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 82 - ... longer than the intermediate adjacent ones, these are whole degrees ; the shorter ones, or those of the third order, are 30 minutes. From the centre, to 60 degrees, the line of sines is divided like the line of tangents ; from 60 to 70, it is divided only to every degree ; from 70 to 80, to every two degrees ; from 80 to 90, the division must be estimated by the eye.