The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 7
... remainder , after the division has been thus performed , annex ciphers to this remainder , and continue the operation till nothing remains , or till a sufficient number of decimals shall be found in the quotient , EXAMPLES . Divide .144 ...
... remainder , after the division has been thus performed , annex ciphers to this remainder , and continue the operation till nothing remains , or till a sufficient number of decimals shall be found in the quotient , EXAMPLES . Divide .144 ...
Page 13
... remainder by the number of the next inferior denomination , and point off a re- mainder , as before . Proceed in this manner through all the parts of the integer , and the seve- ral denominations , standing on the left hand , are the ...
... remainder by the number of the next inferior denomination , and point off a re- mainder , as before . Proceed in this manner through all the parts of the integer , and the seve- ral denominations , standing on the left hand , are the ...
Page 18
... remainder annex the two figures of the next following period , for a dividend . Double the root above mentioned for a divisor , and find how often it is contained in the said divi- dend , exclusive of its right hand figure , and set ...
... remainder annex the two figures of the next following period , for a dividend . Double the root above mentioned for a divisor , and find how often it is contained in the said divi- dend , exclusive of its right hand figure , and set ...
Page 19
... remainder . 2. The number of integral places in the root , is always equal to the number of periods in the in- tegral part of the resolvend . 3. When vulgar fractions occur in the given power , or number , they may be reduced to deci ...
... remainder . 2. The number of integral places in the root , is always equal to the number of periods in the in- tegral part of the resolvend . 3. When vulgar fractions occur in the given power , or number , they may be reduced to deci ...
Page 28
... remainder is the Log . of 5-0.698970005 Example 5. Required the Logarithm of 6 . 6 = 3 × 2 , therefore to the Logarithm of 3 = 0.477121254 add the Logarithm of 2 = 0.301029995 their sum Log . of 6 = 0.778151249 Example 6. Required the ...
... remainder is the Log . of 5-0.698970005 Example 5. Required the Logarithm of 6 . 6 = 3 × 2 , therefore to the Logarithm of 3 = 0.477121254 add the Logarithm of 2 = 0.301029995 their sum Log . of 6 = 0.778151249 Example 6. Required the ...
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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.