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

### Dentro del libro

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Página 19

Let the double of the said root be made a divisor to all the figures of that last

quotient ; and having multiplied it into the numbers so formed , deduct the product

from the ...

Let the double of the said root be made a divisor to all the figures of that last

**remainder**, except the last ; put the quotient thereof with the root , or formerquotient ; and having multiplied it into the numbers so formed , deduct the product

from the ...

Página 80

Which is Demonstrated from Its First Principles ... Robert Gibson. The co - sine

taken from the sine added to 90 , or radius , which is 10.00000 , the

the tangent . ( By part 1. theo . 24. ) EXAMPLE . 1. Suppose the tangent of 41o .

Which is Demonstrated from Its First Principles ... Robert Gibson. The co - sine

taken from the sine added to 90 , or radius , which is 10.00000 , the

**remainder**isthe tangent . ( By part 1. theo . 24. ) EXAMPLE . 1. Suppose the tangent of 41o .

Página 81

From twice the radius , which is 20.00000 , take the co - tangent , the

the co - tangent , ( by theo . 24. part . 5. ) EXAMPLE . Required , the tangent of

29o . 50 ' being defaced , as also the sine and co - sine defaced , by the co ...

From twice the radius , which is 20.00000 , take the co - tangent , the

**remainder**isthe co - tangent , ( by theo . 24. part . 5. ) EXAMPLE . Required , the tangent of

29o . 50 ' being defaced , as also the sine and co - sine defaced , by the co ...

Página 197

From half the sum of the three sides subtract each side severally ; take the

logarithms of half the sum and three

logarithm of the area : or , take the square root of the continued product of the half

sum ...

From half the sum of the three sides subtract each side severally ; take the

logarithms of half the sum and three

**remainders**, anŭ half their total will be thelogarithm of the area : or , take the square root of the continued product of the half

sum ...

Página 286

... upper edge of that vane to cut at the height of 6 feet 5 inches and two tenths ,

then will these two vanes be on a level . From 6 feet 5.2 inches subtract 3 feet 4.6

inches and reserve the

...

... upper edge of that vane to cut at the height of 6 feet 5 inches and two tenths ,

then will these two vanes be on a level . From 6 feet 5.2 inches subtract 3 feet 4.6

inches and reserve the

**remainder**3 feet 0.6 inches . Now , remove the instrument...

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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.