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

### Dentro del libro

Resultados 1-5 de 5

Página 25

is called the semidiameter or radius , or any line from the centre to the

circumference : whence all radii of the same or of

The diameter of a circle is a right line drawn through the centre , and terminating

on either ...

is called the semidiameter or radius , or any line from the centre to the

circumference : whence all radii of the same or of

**equal**circles are**equal**. 16.The diameter of a circle is a right line drawn through the centre , and terminating

on either ...

Página 32

Things that are

Every whole is greater than its part . 3. Every whole is

together . 4 If to

Things that are

**equal**to one and the same thing , are**equal**to each other . 2.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. Página 36

And the sum of the internal angles on the same side , are

angles ; that is BEF + DFE are

as one ...

And the sum of the internal angles on the same side , are

**equal**to two rightangles ; that is BEF + DFE are

**equal**to two right angles , and AEF + CFE are**equal**to two right angles . 1. Since AB is parallel to CD , they may be consideredas one ...

Página 38

If in any two triangles , ABC , DEF , there be two sides , AB , AC in the one ,

severally

two sides in the one ,

one , will ...

If in any two triangles , ABC , DEF , there be two sides , AB , AC in the one ,

severally

**equal**to DE , DF in the other , and the angle A contained between thetwo sides in the one ,

**equal**to D in the other : then the remaining angles of theone , will ...

Página 181

Let ABCD represent a rectangular parallelogram or oblong : let the side AB , or

DC , contain 8

line AB be moved in the direction of AD , till it has come to EF ; where AE , or BF ...

Let ABCD represent a rectangular parallelogram or oblong : let the side AB , or

DC , contain 8

**equal**parts : and the side AD , or BC , three of such parts ; let theline AB be moved in the direction of AD , till it has come to EF ; where AE , or BF ...

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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.