The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 39
... opposite points of the circumference ; and it divides the circle and circumference into two equal parts , called semicir- cles ; and is double the radius , as AB or DE . fig . 8 .. 16. The circumference of every circle is sup- posed to ...
... opposite points of the circumference ; and it divides the circle and circumference into two equal parts , called semicir- cles ; and is double the radius , as AB or DE . fig . 8 .. 16. The circumference of every circle is sup- posed to ...
Page 44
... opposite sides are equal and angles right , is called a rectangle , or an oblong , as ABCD . fig . 3 . 45. A rhombus is a parallelogram of equal sides , and has its angles oblique , as A fig . 18. and is an inclined square . 46. A ...
... opposite sides are equal and angles right , is called a rectangle , or an oblong , as ABCD . fig . 3 . 45. A rhombus is a parallelogram of equal sides , and has its angles oblique , as A fig . 18. and is an inclined square . 46. A ...
Page 47
... opposite angles made by those lines , will be equal to each other that is , AEB to CED and BEC to AED . By theorem 1. BEC + ĊED = 2 right angles . and CED + DEA = 2 right angles . Therefore ( by axiom 1. ) BEC + CED = CED + DEA : take ...
... opposite angles made by those lines , will be equal to each other that is , AEB to CED and BEC to AED . By theorem 1. BEC + ĊED = 2 right angles . and CED + DEA = 2 right angles . Therefore ( by axiom 1. ) BEC + CED = CED + DEA : take ...
Page 48
... opposite one on the same side , that is , GEB = EFD and AEG = CFE . 4. And the sum of the internal angles on the same side , are equal to two right angles ; that is , BEF + DFE are equal to two right angles , and AEF + CFE are equal to ...
... opposite one on the same side , that is , GEB = EFD and AEG = CFE . 4. And the sum of the internal angles on the same side , are equal to two right angles ; that is , BEF + DFE are equal to two right angles , and AEF + CFE are equal to ...
Page 49
... opposite angles taken together . Viz . to B and A. Through C , let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B , ( by part 3. of the last theo . ) and again , since AC cuts the same ...
... opposite angles taken together . Viz . to B and A. Through C , let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B , ( by part 3. of the last theo . ) and again , since AC cuts the same ...
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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.