A Rudimentary Treatise on Land and Engineering Surveying, with all the modern improvements ... With illustrationsVirtue brothers & Company, 1865 - 232 pages |
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Page 8
... Whence any two angles of a triangle being given the third becomes known . B D THEOREM V. ( See figure to Definition 11. ) Let ABC be a right angled triangle , having a right angle at B ; then , the square on the side AC is equal to the ...
... Whence any two angles of a triangle being given the third becomes known . B D THEOREM V. ( See figure to Definition 11. ) Let ABC be a right angled triangle , having a right angle at B ; then , the square on the side AC is equal to the ...
Page 33
... whence 402302502 , that is m B2 + Bn2 = m n2 , therefore by Euc . I. 47 , Bn is perpendicular to Bm , or mBn is a right angle . † Because the triangles mno , pqr , are both equilateral , the angles at m and a are each 60 ° or one ...
... whence 402302502 , that is m B2 + Bn2 = m n2 , therefore by Euc . I. 47 , Bn is perpendicular to Bm , or mBn is a right angle . † Because the triangles mno , pqr , are both equilateral , the angles at m and a are each 60 ° or one ...
Page 35
... Whence the distance op becomes known . B n 502 2500 rs ↑ Ꭶ 2 For those who do not understand a rule , when symbolically expressed , we give , in words at length , the following . RULE . Divide 2500 by the distance rs , and the ...
... Whence the distance op becomes known . B n 502 2500 rs ↑ Ꭶ 2 For those who do not understand a rule , when symbolically expressed , we give , in words at length , the following . RULE . Divide 2500 by the distance rs , and the ...
Page 36
... whence the area of the triangle = 1338 x 770 ÷ 2 : = 5.15130 = 5a . Or . 24p . the area . to O C 852 L. O B to OB 1338 1000 O m 600 From OA range E. NOTE . If the proof line measured from the plan , does not exactly , or very nearly ...
... whence the area of the triangle = 1338 x 770 ÷ 2 : = 5.15130 = 5a . Or . 24p . the area . to O C 852 L. O B to OB 1338 1000 O m 600 From OA range E. NOTE . If the proof line measured from the plan , does not exactly , or very nearly ...
Page 38
... Whence 2584X1200 2 15.50400 : = 15a . 2r . 1p . nearly , the area by this method . If the area found by the true method be taken from the area , just found by casting , it will be seen that they differ by little more than one pole out ...
... Whence 2584X1200 2 15.50400 : = 15a . 2r . 1p . nearly , the area by this method . If the area found by the true method be taken from the area , just found by casting , it will be seen that they differ by little more than one pole out ...
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Common terms and phrases
ABCD accuracy acres adjustment arches axis beam compasses breadth bubble centre chains common correct cross sections cubic yards cutting datum line depth direction distance divided draw embankments equal error EXAMPLE feet field book figure finding the contents fore sights formation level formula Gentleman's Diary given gradient ground height horizontal inches instrument intersection laid Lay the ruler length level book main line mark measured mile move it parallel NOTE object offsets parallax parallel ruler perpendicular position Prob protractor quality lines quantity of land radii radius railway curves Rankine's method ratio right angles river river Ouse road scale screw serpentine curve shewn shews side sine slopes spirit level square links staff stations straight fence surface survey surveyors taken taking tangent telescope theodolite tion Tithe Commissioners trapezium triangle tube tunnel vernier vernier scale vertical viaduct whence
Popular passages
Page 3 - 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 123 - An Act for consolidating in one Act certain provisions usually inserted in Acts of inclosure, and for facilitating the mode of proving the several facts usually required on the passing of such Acts...
Page 240 - Gd. 108*. METROPOLIS LOCAL MANAGEMENT AMENDMENT ACT, 1862 ; with Notes and Index. Is. 109. NUISANCES REMOVAL AND DISEASE PREVENTION ACT. Is. 110. RECENT LEGISLATIVE ACTS applying to Contractors, Merchants, and Tradesmen. Is.
Page 8 - Similar triangles are to one another in the duplicate ratio of their homologous sides.