The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 páginas |
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... Tangents , and Secants 20 2. Mensuration of Natural Sines 71 heights 179 Points of the Compass 82 -Of Distances 3. Mensuration of Areas 200 General Method 232 Pennsylvania Method 244 4. Of Off - sets 194 Traverse Table 83 Mean ...
... Tangents , and Secants 20 2. Mensuration of Natural Sines 71 heights 179 Points of the Compass 82 -Of Distances 3. Mensuration of Areas 200 General Method 232 Pennsylvania Method 244 4. Of Off - sets 194 Traverse Table 83 Mean ...
Página 41
... tangent , or secant of the com- plement of any arc , is called the co - sine , co - tan- gent , or co - secant of the arc itself : thus FH is the sine , DI the tangent , and CI the secant of the arc DH : or they are the co - sine , co - ...
... tangent , or secant of the com- plement of any arc , is called the co - sine , co - tan- gent , or co - secant of the arc 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 42
... 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 57
... 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 I AB is to the chord ab , in the same ...
... 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 I AB is to the chord ab , in the same ...
Página 62
... tangent , DI its co - tan- gent ; CK its secant , and CI its co - secant . Fig . 8 . 1. The co - sine of an arc is to the sine , as the ra- dius is to the tangent . 2. The radius is to the tangent of an arc 62 GEOMETRICAL.
... tangent , DI its co - tan- gent ; CK its secant , and CI its co - secant . Fig . 8 . 1. The co - sine of an arc is to the sine , as the ra- dius is to the tangent . 2. The radius is to the tangent of an arc 62 GEOMETRICAL.
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Términos y frases comunes
acres altitude Answer arch base bearing blank line centre chains and links circle circle of latitude circumferentor Co-sec Co-tang column compasses contained decimal difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given angle given number half the sum Horizon glass hypothenuse inches instrument latitude length logarithm measure meridian distance minutes multiplied natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole pole star PROB proportion protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect semicircle side sights square root station stationary distance subtracted survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Pasajes populares
Página 52 - 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 39 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Página 18 - DISTINGUISH the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points shew the number of figures the root will consist of. 2. " FIND the greatest square number in the first, or left hand period...
Página 120 - 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 31 - 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 87 - On the line of lines make the lateral distance 10, a transverse distance between 8 on one leg, and 6 on the other leg. On the line of sines make the lateral distance 90, a transverse distance from 45 to 45 ; or from 40 to 50 ; or from 30 to 60 ; or from the sine of any degree to their complement.
Página 7 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Página 82 - ... longer than the intermediate adjacent ones, these are whole degrees ; the shorter ones, or those of the third order, are 30 minutes. From the centre, to 60 degrees, the line of sines is divided like the line of tangents ; from 60 to 70, it is divided only to every degree ; from 70 to 80, to every two degrees ; from 80 to 90, the division must be estimated by the eye.