The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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... square root . cube root , & c . diff . between two numbers when it is not known which is the greater . 5 + 3 , denotes that 3 is to be added to 5 . 6 2 , denotes that 2 is to be taken from 6 . - 7 x 3 , or . 3 , denotes that 7 is to be ...
... square root . cube root , & c . diff . between two numbers when it is not known which is the greater . 5 + 3 , denotes that 3 is to be added to 5 . 6 2 , denotes that 2 is to be taken from 6 . - 7 x 3 , or . 3 , denotes that 7 is to be ...
Page 16
... square , or [ second power . by 8 & c . 512-83 = 8 cube , or third [ power . 4096 8 = 32768 = = ==== 8 ' biquadrate or [ fourth power . 85 Answer . EXAMPLES FOR EXERCISE . What is the second power of 3.05 ? Ans . 9.3025 What is the ...
... square , or [ second power . by 8 & c . 512-83 = 8 cube , or third [ power . 4096 8 = 32768 = = ==== 8 ' biquadrate or [ fourth power . 85 Answer . EXAMPLES FOR EXERCISE . What is the second power of 3.05 ? Ans . 9.3025 What is the ...
Page 17
... square , or second root is 9 ; because 9 × 9-92-81 ; and 3 is its biquadrate , or fourth root , because 3 × 3 × 3 ... square root ; thus , ✓ 9 , or 94 = 3 ÷ or cube root ; , orbiquadrate root ; 364 , or 643 = 4 16 , or 16-2 & c . D ...
... square , or second root is 9 ; because 9 × 9-92-81 ; and 3 is its biquadrate , or fourth root , because 3 × 3 × 3 ... square root ; thus , ✓ 9 , or 94 = 3 ÷ or cube root ; , orbiquadrate root ; 364 , or 643 = 4 16 , or 16-2 & c . D ...
Page 18
... square root of 8 cubed ; and , in general , the fractional indices imply , that the given numbers are to be raised to such powers as are denoted by their numerators , and that such roots are to be extracted from these powers , as are ...
... square root of 8 cubed ; and , in general , the fractional indices imply , that the given numbers are to be raised to such powers as are denoted by their numerators , and that such roots are to be extracted from these powers , as are ...
Page 19
... square root of 1710864 . 1 | 1710864 ( 1308 , - Answer . 1 23 | 71 3 69 260820864 20864 Required the square root of 16007.3104 . 1 | 16007.3104 EVOLUTION . 19.
... square root of 1710864 . 1 | 1710864 ( 1308 , - Answer . 1 23 | 71 3 69 260820864 20864 Required the square root of 16007.3104 . 1 | 16007.3104 EVOLUTION . 19.
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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.