The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 50
... base of the one BC , will be equal to EF , that of the other . If the triangle ABC ' be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with D and E , which they will do , because AB DE ( by the ...
... base of the one BC , will be equal to EF , that of the other . If the triangle ABC ' be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with D and E , which they will do , because AB DE ( by the ...
Page 55
... base AB , and between the same parallels with the parallelogram ABCD , is half the parallelogram . Cor . 3. It is ... bases and between the same parallels , are equal to one another , that is , if BD = GH , and the lines BH and AF ...
... base AB , and between the same parallels with the parallelogram ABCD , is half the parallelogram . Cor . 3. It is ... bases and between the same parallels , are equal to one another , that is , if BD = GH , and the lines BH and AF ...
Page 56
... base and perpendicular , will be the hypothenuse . Cor . 2. Having the hypothenuse and one side given to find the other ; the square root of the differ- ence of the squares of the hypothenuse and given side , will be the required side ...
... base and perpendicular , will be the hypothenuse . Cor . 2. Having the hypothenuse and one side given to find the other ; the square root of the differ- ence of the squares of the hypothenuse and given side , will be the required side ...
Page 58
... bases BA and BD , Let any aliquot part of AB be taken , which will also measure BD : suppose that to be 4g , which will be contained twice in AB , and ... base , is to the sum of those in the other , so will be the sum of the 58 GEOMETRICAL.
... bases BA and BD , Let any aliquot part of AB be taken , which will also measure BD : suppose that to be 4g , which will be contained twice in AB , and ... base , is to the sum of those in the other , so will be the sum of the 58 GEOMETRICAL.
Page 59
... bases . 2. E. D. Note . Wherever there are several quantities connected with the sign ( :) the conclusion is al ... base BE and under the same parallel CD , will be equal ( by cor . to theo . 13. ) therefore ( by theo . 18 ) AB : BC ...
... bases . 2. E. D. Note . Wherever there are several quantities connected with the sign ( :) the conclusion is al ... base BE and under the same parallel CD , will be equal ( by cor . to theo . 13. ) therefore ( by theo . 18 ) AB : BC ...
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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.