The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this ArtE. Duyckinck, 1821 - 544 páginas |
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... Tangents , and Se- 1 cants 20 265 Natural Sines 71 Points of the Compass 82 Traverse Table 83 Mean Refraction 174 cally considered Sun's Parallax and demonstra- Dip of the Horizon 175 ted 271 Dip for Dif . Dist . of land 4. Of Off ...
... Tangents , and Se- 1 cants 20 265 Natural Sines 71 Points of the Compass 82 Traverse Table 83 Mean Refraction 174 cally considered Sun's Parallax and demonstra- Dip of the Horizon 175 ted 271 Dip for Dif . Dist . of land 4. Of Off ...
Página 46
... circumference : thus LB is the versed sine of the arc HB . fig . 8 . 22. The tangent of an arc is a right line touch- ing the periphery , being perpendicular to the end of the diameter , and is terminated by a line 46 GEOMETRY .
... circumference : thus LB is the versed sine of the arc HB . fig . 8 . 22. The tangent of an arc is a right line touch- ing the periphery , being perpendicular to the end of the diameter , and is terminated by a line 46 GEOMETRY .
Página 47
... tangent of the arc HB . fig . 8 . 23. And the line which terminates the tan- gent , that is , CK , is called the ... tangent , or secant of the com- plement of any arc , is called the co - sine , co - tan- gent , or co - secant of the ...
... tangent of the arc HB . fig . 8 . 23. And the line which terminates the tan- gent , that is , CK , is called the ... tangent , or secant of the com- plement of any arc , is called the co - sine , co - tan- gent , or co - secant of the ...
Página 48
... tangent , and secant of an arc , is also the sine , tangent , and secant of an angle whose measure the arc is ; thus because the arc HB is the measure of the angle HCB , and since HL is the sine , BK the tangent , and CK the secant , BL ...
... tangent , and secant of an arc , is also the sine , tangent , and secant of an angle whose measure the arc is ; thus because the arc HB is the measure of the angle HCB , and since HL is the sine , BK the tangent , and CK the secant , BL ...
Página 64
... tangent , & c . of that are will be also greater . Therefore , in ge- neral , 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 ...
... tangent , & c . of that are will be also greater . Therefore , in ge- neral , 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 Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal diagonal difference of latitude Dist 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 Logarithms measure meridian distance multiplied Natural Co-sines natural number natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole PROB proportional protractor Quadrant quotient radius rhombus right angles right line screw Secant sect semicircle side square root station subtract survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Pasajes populares
Página 246 - ... that triangles on the same base and between the same parallels are equal...
Página 58 - 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 231 - RULE. From half the sum of the three sides subtract each side severally.
Página 45 - 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 14 - 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.
Página 5 - His method is founded on these three considerations: 1st, that the sum of the logarithms of any two numbers is the logarithm of the product of...
Página 91 - ... scale. Given the length of the sine, tangent, or secant of any degrees, to find the length of the radius to that sine, tangent, or secant.
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 30 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers ; from the above two logarithms, and the logarithm of 10, which is 1, we may obtain a great many logarithms, as in the following examples : EXAMPLE 3.
Página 211 - At 170 feet distance from the bottom of a tower, the angle of its elevation was found to be 52° 30' : required the altitude of the tower ? Ans.