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

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Página 56

Hence it is manifest , that CD not only bisects AB , but is

def . 11. ) PROBLEM V. On a given point A , in a right line , EF , to erect a

distances , AC ...

Hence it is manifest , that CD not only bisects AB , but is

**perpendicular**to it . ( bydef . 11. ) PROBLEM V. On a given point A , in a right line , EF , to erect a

**perpendicular**. fig . 11 . From the point A lay off on each side , the equaldistances , AC ...

Página 95

the lower line of the angle , and from the point where it cuts the other line in C , let

fall a

measures of AC and AB , from the same scale that BC was taken , will answer ...

the lower line of the angle , and from the point where it cuts the other line in C , let

fall a

**perpendicular**BC ( by prob . 7. sect . 1. ) and the triangle is constructed : themeasures of AC and AB , from the same scale that BC was taken , will answer ...

Página 118

To find the height of a

the length of the shadow given . Provide a rod , or staff , whose length is given ,

let that be set

the ...

To find the height of a

**perpendicular**object , on an horizontal plane ; by havingthe length of the shadow given . Provide a rod , or staff , whose length is given ,

let that be set

**perpendicular**, by the help of a quadrant , thus ; apply the side ofthe ...

Página 193

Perch . S. Base 49.52 Perp . 27.12 9904 4952 34664 9904 1342.9824 A. R. P.

671.4912 = 4.0.31 . The map may be readily drawn , having the distance from

either end of the base , to the

figure ...

Perch . S. Base 49.52 Perp . 27.12 9904 4952 34664 9904 1342.9824 A. R. P.

671.4912 = 4.0.31 . The map may be readily drawn , having the distance from

either end of the base , to the

**perpendicular**given ; as may be evident from thefigure ...

Página 204

Your map being thus prepared , rule a table with four columns ; the first of which

is for the number of the triangle , the second for the base of it , the third for the

measure ...

Your map being thus prepared , rule a table with four columns ; the first of which

is for the number of the triangle , the second for the base of it , the third for the

**perpendicular**, and the fourth for the content in perches . Then proceed tomeasure ...

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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.