The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 38
... side , but make the angles ADC , CDB on each side equal to each other , then those angles are called right angles , and the line CD a perpen- dicular . 11. An obtuse angle is that which is wider or greater than a right one , as the ...
... side , but make the angles ADC , CDB on each side equal to each other , then those angles are called right angles , and the line CD a perpen- dicular . 11. An obtuse angle is that which is wider or greater than a right one , as the ...
Page 44
... sides are all equal and angles right , is called a square , as ABCD . fig . 17 . 44. A parallelogram whose opposite sides are equal and angles right , is called a rectangle , or an oblong , as ABCD . fig . 3 . 45. A rhombus is a ...
... sides are all equal and angles right , is called a square , as ABCD . fig . 17 . 44. A parallelogram whose opposite sides are equal and angles right , is called a rectangle , or an oblong , as ABCD . fig . 3 . 45. A rhombus is a ...
Page 47
... side of a right line ; all the angles made by these lines will be equal to two right lines . 2. And all the angles which can be made about a point , will be equal to four right angles . THEO . II . PL . 1. fig . 21 . If one right line ...
... side of a right line ; all the angles made by these lines will be equal to two right lines . 2. And all the angles which can be made about a point , will be equal to four right angles . THEO . II . PL . 1. fig . 21 . If one right line ...
Page 48
... 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 two right angles . 1 ...
... 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 two right angles . 1 ...
Page 50
... sides in the one , equal to D in the other ; then the remaining angles of the one , will be severally equal to those ... sides of a triangle a b c be equal to each other , that is , accb the angles which are opposite to those equal sides ...
... sides in the one , equal to D in the other ; then the remaining angles of the one , will be severally equal to those ... sides of a triangle a b c be equal to each other , that is , accb the angles which are opposite to those equal sides ...
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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.