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

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Página 27

and so BD becomes a quadrant or the

radius DC is always the sine of a quadrant , or of the

Sines are said to be of as many degrees as the arc contains parts of 360 : so the

...

and so BD becomes a quadrant or the

**fourth**part of the periphery : therefore theradius DC is always the sine of a quadrant , or of the

**fourth**part of the circle BD .Sines are said to be of as many degrees as the arc contains parts of 360 : so the

...

Página 76

Let the three proposed numbers be 36 , 48 , 66 , to find a

log . of 48 Add log . of 66 1.68124 1.81954 Sum Take log . of 36 3.50078 1.55630

1.94448 the number is 88 the

Let the three proposed numbers be 36 , 48 , 66 , to find a

**fourth**proportional . Tolog . of 48 Add log . of 66 1.68124 1.81954 Sum Take log . of 36 3.50078 1.55630

1.94448 the number is 88 the

**fourth**required . Again , let three numbers be 240 ... Página 90

The first and third terms in the foregoing proportions , being of a like nature , and

those of the second and

being direct ones , it follows ; that if the third term be greater or less than the first ...

The first and third terms in the foregoing proportions , being of a like nature , and

those of the second and

**fourth**being also like to each other ; and the proportionsbeing direct ones , it follows ; that if the third term be greater or less than the first ...

Página 205

11 , which place opposite the middle of those perpendiculars , in the

column , under the word content . Having thus obtained the content of each

respective triangle and trapezium which the map contains , add them all together

, and their ...

11 , which place opposite the middle of those perpendiculars , in the

**fourth**column , under the word content . Having thus obtained the content of each

respective triangle and trapezium which the map contains , add them all together

, and their ...

Página 258

Add this

give a fifth arc ; from which if the complement of the latitude be taken , the

remainder will give a sixth arc . Then say , As radius Is to the tangent of the

altitude , So ...

Add this

**fourth**arc and half the complement of the latitude together , their sum willgive a fifth arc ; from which if the complement of the latitude be taken , the

remainder will give a sixth arc . Then say , As radius Is to the tangent of the

altitude , So ...

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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.