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

### Dentro del libro

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Página 153

Let a mark be fixed at any point in the ground , as at H , from whence all the

angles can be seen ; let the measures of the lines HA , HB , HC , & c . be

every angle of the field from the point H ; and let those be placed opposite to No.

Let a mark be fixed at any point in the ground , as at H , from whence all the

angles can be seen ; let the measures of the lines HA , HB , HC , & c . be

**taken**toevery angle of the field from the point H ; and let those be placed opposite to No.

Página 160

... to go back to the foregoing station , to oversee the chaining , and by this means

to walk three times over every line , which is a slavery not to be borne . Or a back

and a fore - sight may be

... to go back to the foregoing station , to oversee the chaining , and by this means

to walk three times over every line , which is a slavery not to be borne . Or a back

and a fore - sight may be

**taken**at one station , thus ; with the south of the box to ... Página 242

there be

half the sum of Bb , and Cc multiplied by bc , will be the area of the trapezium

bBCC ; after the same manner , half the sum of Cc , and Dd , multiplied by cd , will

...

there be

**taken**bBAGFeb , the remainder will be the map ABCDEFGA . As beforehalf the sum of Bb , and Cc multiplied by bc , will be the area of the trapezium

bBCC ; after the same manner , half the sum of Cc , and Dd , multiplied by cd , will

...

Página 243

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

respective stations from whence they were

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 ...

Página 244

When we here speak of stations , we do not mean such as are usually

every particular angle of the field : for it is to be apprehended , that every skilful

surveyor , particularly such who use calculation , will take the longest distances ...

When we here speak of stations , we do not mean such as are usually

**taken**atevery particular angle of the field : for it is to be apprehended , that every skilful

surveyor , particularly such who use calculation , will take the longest distances ...

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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.