## A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |

### Dentro del libro

Resultados 1-5 de 5

Página 59

To find a

infinite blank lines CE , CD , anywise to make any angle . Lay the line A , from C

to F ; and the line B , from C , to G ; and draw the line FG ; lay again the line A ...

To find a

**third**proportional to two given right lines , A and B. Fig . 16 . Draw twoinfinite blank lines CE , CD , anywise to make any angle . Lay the line A , from C

to F ; and the line B , from C , to G ; and draw the line FG ; lay again the line A ...

Página 90

The first and

those of the second and fourth being also like to each other ; and the proportions

being direct ones , it follows ; that if the

The first and

**third**terms in the foregoing proportions , being of a like nature , andthose of the second and fourth being also like to each other ; and the proportions

being direct ones , it follows ; that if the

**third**term be greater or less than the first ... Página 113

The first proportion is extended on the line of numbers ; and it is no matter

whether you extend from the first to the

are all of the same kind : if you extend to the second , that distance applied to the

The first proportion is extended on the line of numbers ; and it is no matter

whether you extend from the first to the

**third**, or to the second term , since theyare all of the same kind : if you extend to the second , that distance applied to the

**third**... Página 239

first and second , the next by half the sum of the second and

half the sum of the

produced by the off - sets . Thus , in the foregoing field - book , the first stationary

line 22C ...

first and second , the next by half the sum of the second and

**third**, the next byhalf the sum of the

**third**and fourth , & c . The sum of these will be the areaproduced by the off - sets . Thus , in the foregoing field - book , the first stationary

line 22C ...

Página 295

In a pentangular field , beginning with the south side , and measuring round

towards the east , the first or south side is 2735 links , the second 3115 , the

2370 , the fourth 2925 , and the fifth 2220 ; also the diagonal from the first angle

to ...

In a pentangular field , beginning with the south side , and measuring round

towards the east , the first or south side is 2735 links , the second 3115 , the

**third**2370 , the fourth 2925 , and the fifth 2220 ; also the diagonal from the first angle

to ...

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### Términos y frases comunes

acres angle Answer base bearing called centre chains chord circle Co-sec Co-sine Co-tang column contained decimal difference direct distance divided division draw drawn east edge equal EXAMPLE feet field field-book figures four four-pole fourth give given greater ground half height Hence inches laid land Lat Dep length less logarithm manner measure method multiplied needle object observe opposite parallel perches perpendicular plain plane Plate pole prob PROBLEM proportion quantity quotient radius reduce remainder right angles right line root scale Secant sect side sights sine square station suppose survey taken Tang tangent theo THEOREM third triangle triangle ABC true turn variation whence whole

### Pasajes populares

Página 25 - 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 207 - ... that triangles on the same base and between the same parallels are equal...

Página 40 - 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 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.

Página 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Página 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.

Página 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.

Página 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.

Página 265 - 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. 45°.

Página 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.