The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 38
... angle , as ABC . Note , When an angle is expressed by three let- ters , the middle one is that at the angular point . [ 9. When the lines that form the angle are right ones , it is then called a right - lined angle , as ABC , fig . 4 ...
... angle , as ABC . Note , When an angle is expressed by three let- ters , the middle one is that at the angular point . [ 9. When the lines that form the angle are right ones , it is then called a right - lined angle , as ABC , fig . 4 ...
Page 44
... angles oblique , as A fig . 18. and is an inclined square . 46. A rhomboides is a parallelogram whose op- posite sides are equal and angles oblique ; as B. fig . 19. and may be conceived as an inclined rect- angle . 47. Any ...
... angles oblique , as A fig . 18. and is an inclined square . 46. A rhomboides is a parallelogram whose op- posite sides are equal and angles oblique ; as B. fig . 19. and may be conceived as an inclined rect- angle . 47. Any ...
Page 47
... angles , or two angles equal to two right angles . 1. If AB be perpendicular to CD , then ( by def . 10. ) the angles CBA , and ABD , will be each a right angle . 2. But if EB fall slantwise on CD , then are the angles DBE + EBC = DBE + ...
... angles , or two angles equal to two right angles . 1. If AB be perpendicular to CD , then ( by def . 10. ) the angles CBA , and ABD , will be each a right angle . 2. But if EB fall slantwise on CD , then are the angles DBE + EBC = DBE + ...
Page 48
... angles ; and AED + AEB = two right angles ; where- fore taking AED from both , there remains CED = AEB . 2. E. D. THEO ... angle will be equal to the internal and opposite one on the same side , that is , GEB = EFD and AEG = CFE . 4. And ...
... angles ; and AED + AEB = two right angles ; where- fore taking AED from both , there remains CED = AEB . 2. E. D. THEO ... angle will be equal to the internal and opposite one on the same side , that is , GEB = EFD and AEG = CFE . 4. And ...
Page 49
... angles : after the same manner we prove that AEF + CFE are equal to two right angles . 2. E. D. THEO . IV . PL . 1. fig . 23 . In any triangle ABC , one of its legs , as BC , being produc- ed towards D , it will make the external angle ...
... angles : after the same manner we prove that AEF + CFE are equal to two right angles . 2. E. D. THEO . IV . PL . 1. fig . 23 . In any triangle ABC , one of its legs , as BC , being produc- ed towards D , it will make the external angle ...
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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.