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

### Dentro del libro

Resultados 1-5 de 5

Página 25

be fastened at the end C , and the other end B , be carried quite round , then the

space comprehended is called a

B , is called the circumference or the periphery of the

be fastened at the end C , and the other end B , be carried quite round , then the

space comprehended is called a

**circle**; and the curve line described by the pointB , is called the circumference or the periphery of the

**circle**; the fixed point C is ... Página 39

Cor . Hence if from any point in a perpendicular which bisects a given line , there

be drawn right lines to the extremities of the given one , they with it will form an

isosceles triangle . THEOREM VII . The angle BCD at the centre of a

...

Cor . Hence if from any point in a perpendicular which bisects a given line , there

be drawn right lines to the extremities of the given one , they with it will form an

isosceles triangle . THEOREM VII . The angle BCD at the centre of a

**circle**ABED...

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AB : ab :: AC : ac AB : ab : : BC : be and AC : ac :: BC : bc For the triangles being

inscribed in two

consequently the chord BC is to bc , as the radius of the

AB : ab :: AC : ac AB : ab : : BC : be and AC : ac :: BC : bc For the triangles being

inscribed in two

**circles**, it is plain since the angle A = a , the arc BDC = bd c , andconsequently the chord BC is to bc , as the radius of the

**circle**ABC is to the ... Página 84

Because the sine , tangent , or secant of any given arc in one

, tangent , or secant of a like arc ( or to one of the like number of degrees ) in

another

sine ...

Because the sine , tangent , or secant of any given arc in one

**circle**, is to the sine, tangent , or secant of a like arc ( or to one of the like number of degrees ) in

another

**circle**; as the radius of the one is to the radius of the other therefore thesine ...

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To find the area of a

ellipsis by 7854 for the area . Or , subtract 0.10491 from the double logarithm of

the

To find the area of a

**circle**, or an ellipses . Rule . Multiply the square of the**circle's**diameter , or the product of the longest and shortest diameters of theellipsis by 7854 for the area . Or , subtract 0.10491 from the double logarithm of

the

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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.