The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 19
... root ; from which , and the last dividend , find the next figure of the root as before ; and so on through all the periods to the last . Note 1. After the figures belonging to the given number are all exhausted , the operation may be ...
... root ; from which , and the last dividend , find the next figure of the root as before ; and so on through all the periods to the last . Note 1. After the figures belonging to the given number are all exhausted , the operation may be ...
Page 20
... root of 17.3056 . Ans . 4,16 . Required the square root of .000729 . Ans . .027 . Required the square root of 17 Ans . 4.168333+ A GENERAL RULE For extracting any Root whatever . Find by trial a number , which , when involved to the ...
... root of 17.3056 . Ans . 4,16 . Required the square root of .000729 . Ans . .027 . Required the square root of 17 Ans . 4.168333+ A GENERAL RULE For extracting any Root whatever . Find by trial a number , which , when involved to the ...
Page 21
... root , R , -nearly ; and the operation may be repeated as many times , as we chuse , by using always the root last found for the assumed root , and this , involved according to the given index , for the assumed power . * EXAMPLES . 1 ...
... root , R , -nearly ; and the operation may be repeated as many times , as we chuse , by using always the root last found for the assumed root , and this , involved according to the given index , for the assumed power . * EXAMPLES . 1 ...
Page 22
... root , and the whole operation should be repeated . 2. Required the biquadrate root of 2.0743 . Here G = 2.0743 , Q = 1.2 , A = 1.2 * = 2.0736 , X = 4 , X + 1 = 5 , and X -- 1 = 3 . And 5 × 2.0736 = 10.3680 5 × 2.0743 = 10.3715 3 ...
... root , and the whole operation should be repeated . 2. Required the biquadrate root of 2.0743 . Here G = 2.0743 , Q = 1.2 , A = 1.2 * = 2.0736 , X = 4 , X + 1 = 5 , and X -- 1 = 3 . And 5 × 2.0736 = 10.3680 5 × 2.0743 = 10.3715 3 ...
Page 23
... root of 21035.8 Required the sixth root of 21035.8 Required the cube root of 999 Required the fourth root of 97.41 Required the cube root of .037 Required the cube root of 2 Ans . - 7.3213 + Ans . - 5.2540 + Ans . 9.9966+ Ans . - 3.1416 ...
... root of 21035.8 Required the sixth root of 21035.8 Required the cube root of 999 Required the fourth root of 97.41 Required the cube root of .037 Required the cube root of 2 Ans . - 7.3213 + Ans . - 5.2540 + Ans . 9.9966+ Ans . - 3.1416 ...
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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.