A Compendious System of Practical Surveying, and Dividing of Land: Concisely Defined, Methodically Arranged, and Fully Exemplified : the Whole Adapted for the Easy and Regular Instruction of Youth, in Our American SchoolsJohnson and Warner, 1814 - 227 páginas |
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Página 63
... radius , or it is half the chord of twice the arch , so that RS is the sine of the arch AS , and SZ the co - sine : the sine and co - sine making a quadrant , or 90 ° . 3. A versed sine , is that part of the diameter contained between ...
... radius , or it is half the chord of twice the arch , so that RS is the sine of the arch AS , and SZ the co - sine : the sine and co - sine making a quadrant , or 90 ° . 3. A versed sine , is that part of the diameter contained between ...
Página 64
... 90 ° . Chord . D Radius . C P H Co - tangent . Z Co - Sine . Co - secant Sine . R Versed sine . Secant . Tangent . T RIGHT ANGLED TRIGONOMETRY . THE solution of the several cases 64 TRIGONOMETRY .
... 90 ° . Chord . D Radius . C P H Co - tangent . Z Co - Sine . Co - secant Sine . R Versed sine . Secant . Tangent . T RIGHT ANGLED TRIGONOMETRY . THE solution of the several cases 64 TRIGONOMETRY .
Página 69
... radius 90 ° 10.00000 12.08279 10.08931 1.99348 To the base AB 98.50 . By making the Perpendicular Radius , it will be , To find the perpendicular BC . As secant [ C 54 ° 30 10.23605 Is to the hypothenuse 121 2.08279 So is radius 90 ...
... radius 90 ° 10.00000 12.08279 10.08931 1.99348 To the base AB 98.50 . By making the Perpendicular Radius , it will be , To find the perpendicular BC . As secant [ C 54 ° 30 10.23605 Is to the hypothenuse 121 2.08279 So is radius 90 ...
Página 70
... Radius , it will be , To find the perpendicular BC . As radius 90 ° 10.00000 Is to the hypothenuse 121 2.08279 So is sine [ A 35 ° 30 ' 9.76395 11.84674 10.00000 To perpendicular BC 70.27 1.84673 To find the base AB . As radius 90 ...
... Radius , it will be , To find the perpendicular BC . As radius 90 ° 10.00000 Is to the hypothenuse 121 2.08279 So is sine [ A 35 ° 30 ' 9.76395 11.84674 10.00000 To perpendicular BC 70.27 1.84673 To find the base AB . As radius 90 ...
Página 71
... radius . 1. Extend from radius 90 ° to 54 ° 30 ' , on the line of sines ; that extent will reach from the hypothenuse 121 , to the base 98.50 , on the line of numbers . 2. Extend from radius , to 35 ° 30 ' , on the line of sines ; that ...
... radius . 1. Extend from radius 90 ° to 54 ° 30 ' , on the line of sines ; that extent will reach from the hypothenuse 121 , to the base 98.50 , on the line of numbers . 2. Extend from radius , to 35 ° 30 ' , on the line of sines ; that ...
Otras ediciones - Ver todas
A Compendious System of Practical Surveying, and Dividing of Land: Concisely ... Vista completa - 1814 |
A Compendious System of Practical Surveying, and Dividing of Land: Concisely ... Vista completa - 1814 |
A Compendious System of Practical Surveying, and Dividing of Land: Concisely ... Zachariah Jess Sin vista previa disponible - 2023 |
Términos y frases comunes
180 degrees 40 perches ABCD acres angle opposite Artificial Sines base BC bearing and distance centre chains chord of 60 circle Co-sec Co-sine Co-tang Tang compasses decimal Deg Dist DegDegDeg describe an arch diameter diff difference of latitude divided division line double area East EXAMPLE extent will reach feet find the angles find the area find the bearing find the Content find the difference find the hypothenuse find the logarithm following figure foot half the sum hypothenuse 121 hypothenuse AC intersect latitude and departure left hand line of numbers line of sines Meridian Distance Multiply North Oblique Angled Trigonometry off-sets opposite angle parallelogram perpen perpendicular BC piece of ground PROBLEM quotient radius 90 Rhombus right angled triangle Right Angled Trigonometry RULE scale of equal Secant side BC South square perches square root Stations Bearings subtracted survey tangent Trapezium West
Pasajes populares
Página 50 - ЙО, 30, &c., to the left hand, where it ends at 87 degrees. This line. with the line of equal parts, marked (EP), under it, are used together, and only in Mercator's Sailing. The upper line contains the degrees of the meridian, or latitude in a Mercator's chart, corresponding to the degrees of longitude on the lower line. The use of this Scale in solving the usual problems of Trigonometry...
Página 80 - To the length of the given side ; So is the sine of the angle opposite the required side. To the length of the required side.
Página 4 - 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, etc.
Página 44 - I tenth part ; and the next 2, 2 tenth parts; and 10 at the end will be but one whole number or integer. As the figures are increased or diminished in their value, so in like manner must all the intermediate strokes or subdivisions be increased or diminished ; that is, if the first...
Página 47 - EXAMPLE. If the diameter of a circle be 7 inches, and the circumference 22, what is the circumference of another circle, the diameter of which is 14 inches ? Extend from 7 to 22, that extent will reach from 14 to 44 the same way.
Página 217 - Then if the true and magnetic amplitudes be both north or both south their difference is the variation, but if one be north and the other south their sum is the variation ; and to know whether it be easterly or westerly, suppose the observer looking towards that point of the compass representing the magnetic amplitude; then if the true amplitude be to the...
Página 220 - Ъои) on the east, or both on the west side of the meridian, their difference is the variation : but if one be on the east, and the other on the west side of the meridian, their sum is the variation ; and to know if it be east or west, suppose the observer looking towards that point of the compass representing the magnetic azimuth ; then if the true •azimuth be to the right of the magnetic, the variation is east, but if the true be to the left of the magnetic, the variation is west. EXAMPLE....
Página 215 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N.
Página 219 - . 2. Subtract the Sun's declination from 90«, when the latitude and declination are of the same name, or add it to 90*, when they are of contrary names ; and the sum, or remainder, will be the Sun's polar distance. , 3. Add together the Sun's polar distance, the latitude of the place, and the altitude of the Sun; take the difference between half their sum and the polar distance, and note the remainder.
Página 49 - ... degrees of the quadrant, begins at the right hand against 90° on the sines, and from thence is numbered towards the left hand thus : 10, 20...