The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 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 ...
Page 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 ...
Page 42
... 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 ...
Page 43
... sine and the circumference : thus LBs the ersed sine of the arc HB . fig . 8 . c 22. The tangent of an are same ing the periphery , being perpendicar the ext of the diameter , and is terminatera ime I from the centre th . ugh the the ...
... sine and the circumference : thus LBs the ersed sine of the arc HB . fig . 8 . c 22. The tangent of an are same ing the periphery , being perpendicar the ext of the diameter , and is terminatera ime I from the centre th . ugh the the ...
Page 53
... sine of an arc is 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 ...
... sine of an arc is 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 ...
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Common terms and phrases
acres altitude Answer arch azimuth base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-tang column compasses contained decimal difference distance line divided divisions draw east Ecliptic edge feet field-book figures fore four-pole chains geom given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied natural co-sine natural sine needle Nonius number of degrees object observed off-sets opposite parallel parallelogram pegs perches perpendicular plane pole pole star Portmarnock PROB protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect Sextant side sights square station stationary distance subtract Sun's survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 38 - 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.
Page 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 197 - RULE. From half the sum of the three sides subtract each side severally.
Page 106 - 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.
Page 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.