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

### Dentro del libro

Resultados 1-5 de 5

Página 58

I. fig . 17 . Make BC perpendicular and equal to AB ; and from A and C , with the

line AB , or BC , let two arcs be described , cutting each other in D , from whence

...

**Plate**II . PROBLEM IX . . Upon a given line AB to describe a square ABCD .**Plate**I. fig . 17 . Make BC perpendicular and equal to AB ; and from A and C , with the

line AB , or BC , let two arcs be described , cutting each other in D , from whence

...

Página 86

made the radius , is to radius , So is the other given side , to its name . Thus if the

legs were given to find the angle A , and if AB be made the radius , it will be AB ...

**Plate**V. When an angle is required we use this proportion , viz . As the side that ismade the radius , is to radius , So is the other given side , to its name . Thus if the

legs were given to find the angle A , and if AB be made the radius , it will be AB ...

Página 116

surveying ; as shall be particularly shewn , when we treat of their descriptions

and uses . Most quadrants have a pair of sights fixed on the edge AC , with small

...

**Plate**V. An angle of altitude may be also taken by any of the instruments used insurveying ; as shall be particularly shewn , when we treat of their descriptions

and uses . Most quadrants have a pair of sights fixed on the edge AC , with small

...

Página 120

to 90 ° which is 34 ° 45 ' . ACB the difference of the given angle 24 ° 00 ' , The

sides AB , 250. Required , BC . This is performed as case 2. of oblique angular ...

**Plate**V. fig . 21 . In the triangle ABC there is given , ABE the complement of EABto 90 ° which is 34 ° 45 ' . ACB the difference of the given angle 24 ° 00 ' , The

sides AB , 250. Required , BC . This is performed as case 2. of oblique angular ...

Página 121

from A to B ; from B , let fall the perpendicular BD ; and that will be the height of

the hill : produce BD upwards by a blank line : again , at A , make the angle DAC

...

**Plate**V. fig . 22 . Geometrically . Make the angle DAB = 48 ° 30 ' , and lay 136 feetfrom A to B ; from B , let fall the perpendicular BD ; and that will be the height of

the hill : produce BD upwards by a blank line : again , at A , make the angle DAC

...

### Comentarios de la gente - Escribir un comentario

No encontramos ningún comentario en los lugares habituales.

### 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.