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

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Página 58

Make BC perpendicular and equal to AB ; and from A and C , with the line AB , or

BC , let two arcs be described , cutting each other in D , from

let the lines AD , DC be drawn ; so is ABCD the square required . For all the ...

Make BC perpendicular and equal to AB ; and from A and C , with the line AB , or

BC , let two arcs be described , cutting each other in D , from

**whence**to A and C ,let the lines AD , DC be drawn ; so is ABCD the square required . For all the ...

Página 127

Make a station at B , from

top of the tree ; measure any convenient distance backward to A , from

also let an angle be taken to the foot , and another to the top ; and you have the ...

Make a station at B , from

**whence**take an angle to the foot , and another to thetop of the tree ; measure any convenient distance backward to A , from

**whence**also let an angle be taken to the foot , and another to the top ; and you have the ...

Página 140

If the distance exceeds 10 , 20 , 30 , & c . chains , when the leader's pegs are all

exhausted , the hinder chainman , at the extremity of the 10 chains , delivers him

all the pegs ; from

If the distance exceeds 10 , 20 , 30 , & c . chains , when the leader's pegs are all

exhausted , the hinder chainman , at the extremity of the 10 chains , delivers him

all the pegs ; from

**whence**they proceed to measure as before , till the leader's ... Página 240

L ET ABCDEFG be a field , H and I two places on the outside of it , from

an object at every angle of the field may be seen . Take the bearing and distance

between H and I , set that at the head of your field - book , as in the annexed one

...

L ET ABCDEFG be a field , H and I two places on the outside of it , from

**whence**an object at every angle of the field may be seen . Take the bearing and distance

between H and I , set that at the head of your field - book , as in the annexed one

...

Página 243

In your protraction as you proceed , let every intersection be laid off from the

respective stations from

continued ; if they all converge or meet in one point , we thence conclude all is

right , so far as ...

In your protraction as you proceed , let every intersection be laid off from the

respective stations from

**whence**they were taken , and let these lines becontinued ; if they all converge or meet in one point , we thence conclude all is

right , so far as ...

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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.