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 TablesHarper, 1832 - 348 páginas |
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Página 57
... sine , FH or CL its co- sine , BK its tangent , DI its cotangent ; CK its secant , and CI its co- secant . Fig . 8 . 1. The cosine of an arc is to the sine as the radius is to the tangent . 2. The radius is to the tangent of an arc as ...
... sine , FH or CL its co- sine , BK its tangent , DI its cotangent ; CK its secant , and CI its co- secant . Fig . 8 . 1. The cosine of an arc is to the sine as the radius is to the tangent . 2. The radius is to the tangent of an arc as ...
Página 64
... sine , tangent , & c . to every single degree on the quadrant , by subdividing each of the nine former divisions into ten equal parts . By this method the sines , tangents , & c . may be drawn to any radius ; and then , after they are ...
... sine , tangent , & c . to every single degree on the quadrant , by subdividing each of the nine former divisions into ten equal parts . By this method the sines , tangents , & c . may be drawn to any radius ; and then , after they are ...
Página 72
... sine and tangent of 28 ° 30 ′ to that radius . - Solution . Open the sector so that the transverse distance of 90 and 90 on the sines , or of 45 and 45 on the tangents , may be equal to the given radius , viz . two inches ; then will ...
... sine and tangent of 28 ° 30 ′ to that radius . - Solution . Open the sector so that the transverse distance of 90 and 90 on the sines , or of 45 and 45 on the tangents , may be equal to the given radius , viz . two inches ; then will ...
Página 73
... sine complement and the radius gives the versed sine . If the given degrees are more than 90 , the sum of the sine complement and the radius gives the versed sine . To open the legs of the sector so that the corresponding double scales ...
... sine complement and the radius gives the versed sine . If the given degrees are more than 90 , the sum of the sine complement and the radius gives the versed sine . To open the legs of the sector so that the corresponding double scales ...
Página 80
... sine . This line is placed immediately under the line of sines , and numbered in a contrary direction , viz . from ... sine of 90 is only half the versed sine of 90 , the versed sine of 120 ° is half the versed sine of 60 ° , and the ...
... sine . This line is placed immediately under the line of sines , and numbered in a contrary direction , viz . from ... sine of 90 is only half the versed sine of 90 , the versed sine of 120 ° is half the versed sine of 60 ° , and the ...
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Términos y frases comunes
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained 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 method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
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 163 - RULE. From half the sum of the three sides subtract each side severally.
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 97 - 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.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
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.