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 42
... sine of an arc is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so become ...
... sine of an arc is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so become ...
Página 43
... sine , tangent , or secant of the complement of any arc is called the co - sine , co - tangent , or co - secant of the are itself : thus FH is the sine , DI the tangent , and CI the secant of the arc DH : or they are the co - sine , co ...
... sine , tangent , or secant of the complement of any arc is called the co - sine , co - tangent , or co - secant of the are itself : thus FH is the sine , DI the tangent , and CI the secant of the arc DH : or they are the co - sine , co ...
Página 50
... sine of an arc is half the chord of twice that arc . For AD is the sine of the arc AF ( by def . 20 ) , AF is half the arc , and AD half the chord AB ( by theo . 8 ) ; THEOREM X. PL . 1. fig . 30 . In therefore the corollary is plain ...
... sine of an arc is half the chord of twice that arc . For AD is the sine of the arc AF ( by def . 20 ) , AF is half the arc , and AD half the chord AB ( by theo . 8 ) ; THEOREM X. PL . 1. fig . 30 . In therefore the corollary is plain ...
Página 51
... sine of BAD : in the same way may be proved that half of AD is the sine of ABD , and the half of AB the sine of ADB . Q. E. D. THEOREM XI . PL . 1. fig . 22 . If a right line GH cut two other right lines AB , CD , so as to make the ...
... sine of BAD : in the same way may be proved that half of AD is the sine of ABD , and the half of AB the sine of ADB . Q. E. D. THEOREM XI . PL . 1. fig . 22 . If a right line GH cut two other right lines AB , CD , so as to make the ...
Página 53
... sine , tangent , & c . of that arc will be also greater . Therefore , in general , the chord , sine , tangent , & c . of any arc is proportional to the radius of the circle ) ; the same way the chord AB is to the chord ab in the same ...
... sine , tangent , & c . of that arc will be also greater . Therefore , in general , the chord , sine , tangent , & c . of any arc is proportional to the radius of the circle ) ; the same way the chord AB is to the chord ab in the same ...
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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.