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

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Página 66

other of 200 ; or one of 1000 , and the other of 2000 parts to an inch , diagonally

divided ; ( a view of the

a

other of 200 ; or one of 1000 , and the other of 2000 parts to an inch , diagonally

divided ; ( a view of the

**scale**will make all easy ; ) the first of these surveyors calla

**scale**of 10 , and the other a**scale**of 20 perches to an inch ; and are thus ... Página 91

the tangent of 45 ° is equal to the radius : for this reason the line of numbers of

10.00000 , the sine of 90 ° , and tangent of 45 ° being all equal , terminate at the

same end of the

the tangent of 45 ° is equal to the radius : for this reason the line of numbers of

10.00000 , the sine of 90 ° , and tangent of 45 ° being all equal , terminate at the

same end of the

**scale**; where there are small brass centres , usually placed to ... Página 211

A Map with its area being given , and its

mentioned ; to find the

area found Is to the square of the

of ...

A Map with its area being given , and its

**scale**omitted to be either drawn ormentioned ; to find the

**scale**. CAST up the map by any**scale**whatsoever , As thearea found Is to the square of the

**scale**by which you cast up , : : The given areaof ...

Página 248

ruple , as you enlarge to a

given one ; therefore great accuracy is required in enlarging a map . When you

have done with a station , give a dash with a pen or pencil to it , such as at the

station ...

ruple , as you enlarge to a

**scale**that is double , or treble , or quadruple of thegiven one ; therefore great accuracy is required in enlarging a map . When you

have done with a station , give a dash with a pen or pencil to it , such as at the

station ...

Página 251

But it is not always that a person is confined to a given area of parchment , or

paper ; in such cases , if there are many large maps to be united into one , reduce

each of them severally to a

the ...

But it is not always that a person is confined to a given area of parchment , or

paper ; in such cases , if there are many large maps to be united into one , reduce

each of them severally to a

**scale**of 160 perches to an inch , and unite those bythe ...

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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.