The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtE. Duyckinck, 1811 - 508 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 49
... triangle ABC , one of its legs , as BC , being produc- ed towards D , it will make the external angle ACD equal to ... triangle ABC , all the three angles , taken together , are equal to two right angles , viz . A + B + ACB = 2 right ...
... triangle ABC , one of its legs , as BC , being produc- ed towards D , it will make the external angle ACD equal to ... triangle ABC , all the three angles , taken together , are equal to two right angles , viz . A + B + ACB = 2 right ...
Σελίδα 50
... angle , gives 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 ...
... angle , gives 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 ...
Σελίδα 56
... triangle , ABC , the square of the hypothenuse or longest side , BC , or BCMH , is equal to the sum of the squares ... ABC , then DBC = ABH ) there- fore the triangle DBC = ABH ( by theo . 6. ) but the triangle DBC is half of the square ...
... triangle , ABC , the square of the hypothenuse or longest side , BC , or BCMH , is equal to the sum of the squares ... ABC , then DBC = ABH ) there- fore the triangle DBC = ABH ( by theo . 6. ) but the triangle DBC is half of the square ...
Σελίδα 57
... triangle ABC , the angle ACB is 60 de- grees , being measured by the arc AEB ; therefore the sum of the other two angles is 120 degrees ( by Cor . 1. theo . 5. ) but since AC = CB . the angle CAB = CBA ( by lemma preceding theo . 7 ...
... triangle ABC , the angle ACB is 60 de- grees , being measured by the arc AEB ; therefore the sum of the other two angles is 120 degrees ( by Cor . 1. theo . 5. ) but since AC = CB . the angle CAB = CBA ( by lemma preceding theo . 7 ...
Σελίδα 59
... triangles in the second triangle ; that is , AB : BD :: ABC : BDC . Whence also the parallelograms ABCF and BDEC , being ( by cor . 2. theo . 12. ) the doubles of the triangles , are likewise as their bases . 2. E. D. Note . Wherever ...
... triangles in the second triangle ; that is , AB : BD :: ABC : BDC . Whence also the parallelograms ABCF and BDEC , being ( by cor . 2. theo . 12. ) the doubles of the triangles , are likewise as their bases . 2. E. D. Note . Wherever ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 197 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 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.
Σελίδα 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.