The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 33
... fourth term , or An- swer . ' Or , -add together the Arithmetical Complement of the Logarithm of the first term , and the Loga- rithms of the second and third terms ; the sum , re- jecting 10 from the Index , will be the Logarithm of ...
... fourth term , or An- swer . ' Or , -add together the Arithmetical Complement of the Logarithm of the first term , and the Loga- rithms of the second and third terms ; the sum , re- jecting 10 from the Index , will be the Logarithm of ...
Page 34
... fourth proportional to 9.485 , 1.969 and 347.2 . 98.45 : 347.2 :: Log . = 1.993216 Log . = 2.540580 1.969 : Log . = 0.294246 2.834826 Answer 6.944 -0.841610 3d . What number will have the same proportion to .8538 as .3275 has to .0131 ...
... fourth proportional to 9.485 , 1.969 and 347.2 . 98.45 : 347.2 :: Log . = 1.993216 Log . = 2.540580 1.969 : Log . = 0.294246 2.834826 Answer 6.944 -0.841610 3d . What number will have the same proportion to .8538 as .3275 has to .0131 ...
Page 40
... fourth part of the peri- phery : therefore the radius DC is always the sine of a quadrant , or of the fourth part of the circle BD . Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine ...
... fourth part of the peri- phery : therefore the radius DC is always the sine of a quadrant , or of the fourth part of the circle BD . Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine ...
Page 42
... fourth part of the peri- phery : therefore the radius DC is always the sine of a quadrant , or of the fourth part of the Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine of a ...
... fourth part of the peri- phery : therefore the radius DC is always the sine of a quadrant , or of the fourth part of the Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine of a ...
Page 45
... fourth , & c . part . Note , Though these postulates are not always quoted the reader will easily perceive where , and in what sense they are to be understood . AXIOMS or self - evident TRUTHS . 1. Things that are equal to one and the ...
... fourth , & c . part . Note , Though these postulates are not always quoted the reader will easily perceive where , and in what sense they are to be understood . AXIOMS or self - evident TRUTHS . 1. Things that are equal to one and 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.