## The Field Engineer: A Handy Book of Practice in the Survey, Location, and Track-work of Railroads; Containing a Large Collection of Rules and Tables, Original and Selected, Applicable to Both the Standard and the Narrow Gauge ... |

### Dentro del libro

Página 10

Plane Trigonometry treats of the solution of plane tri .

triangle there are six parts , – three sides and three

parts are given , one being a side , the remaining parts may be found by

computation ...

Plane Trigonometry treats of the solution of plane tri .

**angles**. In every planetriangle there are six parts , – three sides and three

**angles**. When three of theseparts are given , one being a side , the remaining parts may be found by

computation ...

Página 11

A plane

centre of the circle being at the vertex , and its radius being 1. The circle , for

convenience , is divided into 360 equal parts called degrees ; 90 of these parts

are ...

A plane

**angle**is measured by the arc of a circle included between its sides ; thecentre of the circle being at the vertex , and its radius being 1. The circle , for

convenience , is divided into 360 equal parts called degrees ; 90 of these parts

are ...

Página 13

If the

and for the minutes in the right - hand column ; then follow the corresponding line

towards the left , till you come to the column designated at the bottom by sine ...

If the

**angle**is greater than 45 ° , look for the degrees at the bottom of the page ,and for the minutes in the right - hand column ; then follow the corresponding line

towards the left , till you come to the column designated at the bottom by sine ...

Página 15

GENERAL PROPOSITIONS . 1. In any right - angled triangle the hypothenuse is

to one of the legs as the radius to the sine of the

one of the legs is to the other as the radius to the tangent of the

...

GENERAL PROPOSITIONS . 1. In any right - angled triangle the hypothenuse is

to one of the legs as the radius to the sine of the

**angle**opposite to that leg . Andone of the legs is to the other as the radius to the tangent of the

**angle**opposite to...

Página 16

When a side and an

effected by proposition 2 of the preceding section . If a side be required , say , As

the sine of the given

other ...

When a side and an

**angle**are two of the given parts , the solution may beeffected by proposition 2 of the preceding section . If a side be required , say , As

the sine of the given

**angle**is to its opposite side , So is the sine of either of theother ...

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### Términos y frases comunes

4º curve A. D. Min added adjustment angle base called central angle centre CHORD column correct corresponding Cosine Cotang Cube curve decimal deflection degree of curvature difference direction dist distance divided elevation engineer equal error Example feet field figure fixed follows frog functions gauge given gives grade ground half height Hence inches intersection length located logarithm mark means measure method middle minutes Move multiplied natural observation opposite outer parallel practice quotient radii radius rail range record reference remaining Roots rule screws side Sine slope Square stake straight Subtract Suppose switch-rail Table Table XVI tabular taken Tang tangent telescope terminal tion track triangle turn turnout vernier vertical Ιο

### Pasajes populares

Página 18 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.

Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Página 11 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.

Página 11 - ... plane triangles. In every plane triangle there are six parts, — three sides and three angles. When three of these parts are given, one being a side, the remaining parts may be found by computation. The operation of finding the unknown parts is called the solution of the triangle.

Página 19 - Call the word written upon each side the name of each side ; then say, As the name of the given side, Is to the given side ; So is the name of the required side, To the required side.

Página 3 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number.

Página 195 - NB The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below.

Página i - SHUNK, WF The Field Engineer. A Handy Book of practice in the Survey, Location and Track-work of Railroads, containing a large collection of Rules and Tables, original and selected, applicable to both the Standard and Narrow Gauge, and prepared with special reference to the wants of the young.

Página 19 - To find an angle. Assume one side to be radius, and mark the remaining sides as before. Then say, As the side made radius is to radius, So is the other given side to the name of that side; Which determines the opposite angle.

Página 13 - If the angle is greater than 45°, look for the degrees at the bottom of the page, and for the minutes in the right-hand column ; then follow the corresponding...