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

### Dentro del libro

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Página 32

Every

together . 4 If to equal things , equal things be added , the

If from equal things , equal things be deducted the remainders will be equal . 6.

Every

**whole**is greater than its part . 3. Every**whole**is equal to all its parts takentogether . 4 If to equal things , equal things be added , the

**whole**will be equal . 5.If from equal things , equal things be deducted the remainders will be equal . 6.

Página 70

Because any number consisting of both integers and decimals is equal , to the

quotient of the

the decimal part ; and since by the nature of logarithms , subtraction in them

answers ...

Because any number consisting of both integers and decimals is equal , to the

quotient of the

**whole**considered as an integer , divided by the denominator ofthe decimal part ; and since by the nature of logarithms , subtraction in them

answers ...

Página 141

The figure is sufficient to render the

the chains will be the horizontal measure of the base of the for de = A0 , fg = op ,

hi = pq , & c . therefore de + fg + hi , & c . Ao + op + pq , & c . = AC , the base of the

...

The figure is sufficient to render the

**whole**evident ; and to shew that the sum ofthe chains will be the horizontal measure of the base of the for de = A0 , fg = op ,

hi = pq , & c . therefore de + fg + hi , & c . Ao + op + pq , & c . = AC , the base of the

...

Página 250

I have also from the same methods reduced a large book of maps , each of which

was an entire skin of parchment , and the

acres , to a pocket volume ; and afterwards connected all these maps into one

map ...

I have also from the same methods reduced a large book of maps , each of which

was an entire skin of parchment , and the

**whole**contained upwards of 46000acres , to a pocket volume ; and afterwards connected all these maps into one

map ...

Página 268

... concerning surveys in general . i If you have a large quantity of ground to

survey , which consists of many fields or holdings , and that it be required to map

and give the respective contents of the same , it is best to make a survey of the

... concerning surveys in general . i If you have a large quantity of ground to

survey , which consists of many fields or holdings , and that it be required to map

and give the respective contents of the same , it is best to make a survey of the

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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.