The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtE. Duyckinck, 1811 - 508 من الصفحات |
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الصفحة 47
... THEO . II . PL . 1. fig . 21 . If one right line cross another , ( as AC does BD ) the 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 ...
... THEO . II . PL . 1. fig . 21 . If one right line cross another , ( as AC does BD ) the 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 ...
الصفحة 48
... theo . ) GEB = CFH , and AEG - HFD . 2. Also GEB = AEF , and CFH - EFD ; but GEBCFH ( by part 1. of this theo . ) therefore AEFEFD . The same way we prove FEB = EFC . www.comm 3. AEF = EFD ; ( by the last part of this theo . ) but AEF ...
... theo . ) GEB = CFH , and AEG - HFD . 2. Also GEB = AEF , and CFH - EFD ; but GEBCFH ( by part 1. of this theo . ) therefore AEFEFD . The same way we prove FEB = EFC . www.comm 3. AEF = EFD ; ( by the last part of this theo . ) but AEF ...
الصفحة 49
... theo . 1. ) Therefore EFD + FEB are equal to two right 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 ...
... theo . 1. ) Therefore EFD + FEB are equal to two right 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 ...
الصفحة 50
... THEO , VI PL . 1. fig . 24 . If in any two triangles , ABC , DEF , there be two sides , AB , AC in the one , severally equal to DE , DF in the other , and the angle A contained between the two sides in the one , equal to D in the other ...
... THEO , VI PL . 1. fig . 24 . If in any two triangles , ABC , DEF , there be two sides , AB , AC in the one , severally equal to DE , DF in the other , and the angle A contained between the two sides in the one , equal to D in the other ...
الصفحة 51
... THEO . VII . PL . 1. fig . 25 . The angle BCD at the centre of a circle ABED , is double the angle BAD at the circumference , standing upon the same arc BED . Through the point 4 , and the centre C , draw the line ACE : then the angle ...
... THEO . VII . PL . 1. fig . 25 . The angle BCD at the centre of a circle ABED , is double the angle BAD at the circumference , standing upon the same arc BED . Through the point 4 , and the centre C , draw the line ACE : then the angle ...
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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
مقاطع مشهورة
الصفحة 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.
الصفحة 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.
الصفحة 197 - RULE. From half the sum of the three sides subtract each side severally.
الصفحة 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.
الصفحة 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.