The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 17
... given power . Any number may be considered as a power of some other number ; and the required root of any given power is that number , which , being multi- plied into itself a particular number of times , pro- duces the given power ...
... given power . Any number may be considered as a power of some other number ; and the required root of any given power is that number , which , being multi- plied into itself a particular number of times , pro- duces the given power ...
Page 18
... 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 denoted by their denominators . RULE For extracting the Square Root . Separate the given ...
... 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 denoted by their denominators . RULE For extracting the Square Root . Separate the given ...
Page 19
... given number are all exhausted , the operation may be continued in decimals , by annexing any num- ber of periods of ciphers to the remainder . 2. The number of integral places in the root , is always equal to the number of periods in ...
... given number are all exhausted , the operation may be continued in decimals , by annexing any num- ber of periods of ciphers to the remainder . 2. The number of integral places in the root , is always equal to the number of periods in ...
Page 20
... given number , whether greater or less ; and let that number be called the assumed root , and when thus involved , the assumed power , Let the given power , or number be repre- G. 20 EVOLUTION .
... given number , whether greater or less ; and let that number be called the assumed root , and when thus involved , the assumed power , Let the given power , or number be repre- G. 20 EVOLUTION .
Page 21
... given power , or number be repre- G. sented by } A. the index , or exponent , in the question by X. the assumed power , by the assumed root , by and the required root by Q. R. Then X + 1 × A + X — 1 × G : X + 1 × G + X — 1 × A :: Q : R ...
... given power , or number be repre- G. sented by } A. the index , or exponent , in the question by X. the assumed power , by the assumed root , by and the required root by Q. R. Then X + 1 × A + X — 1 × G : X + 1 × G + X — 1 × A :: Q : R ...
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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.