The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesA. S. Barnes, 1839 - 412 páginas |
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Página 48
... 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 hypothesis ) ; and since the angle AD , the line AC will fall along DF , and inasmuch as they are supposed ...
... 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 hypothesis ) ; and since the angle AD , the line AC will fall along DF , and inasmuch as they are supposed ...
Página 58
... Lay BL from B to L ; from B with the line BO describe an arc , and from L with LO describe another arc ; from O , the ... laid on the other , the sides will mutually agree with each other , and therefore be equal ; for if we consider ...
... Lay BL from B to L ; from B with the line BO describe an arc , and from L with LO describe another arc ; from O , the ... laid on the other , the sides will mutually agree with each other , and therefore be equal ; for if we consider ...
Página 59
... lay off on each side the equal distances AC , AD ; and from C and D as centres , with any interval greater than AC or AD , describe two arcs intersecting each other in B ; from A to B draw the line AB , and it will be the perpendicular ...
... lay off on each side the equal distances AC , AD ; and from C and D as centres , with any interval greater than AC or AD , describe two arcs intersecting each other in B ; from A to B draw the line AB , and it will be the perpendicular ...
Página 61
... lay the line A from E to G , the line B from E to I , and draw the line IG ; lay the line C from E to H , and ( by prob . 8 ) draw HK parallel there- to , so will EK be the fourth proportional required . For , by cor . 1 , theo . 20 ...
... lay the line A from E to G , the line B from E to I , and draw the line IG ; lay the line C from E to H , and ( by prob . 8 ) draw HK parallel there- to , so will EK be the fourth proportional required . For , by cor . 1 , theo . 20 ...
Página 62
... lay the line C from A to C , and D from C to D , and join the points B and D by the line BD ; through C draw CE parallel to BD ( by prob . 8 ) , so is E the point of division . For , by theo . 20 , AC : CD :: AE : EB . Or , C : D :: AE ...
... lay the line C from A to C , and D from C to D , and join the points B and D by the line BD ; through C draw CE parallel to BD ( by prob . 8 ) , so is E the point of division . For , by theo . 20 , AC : CD :: AE : EB . Or , C : D :: AE ...
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Términos y frases comunes
ABCD acres altitude arch base bearing blank line centre chains and links circle circumferentor column compasses contained Cosine Sine cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal screw secant sect sector semicircle side Sine Cotang square root station stationary distance subtract suppose survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 49 - 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.
Página 41 - 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.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 45 - A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 21 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.