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

### Dentro del libro

Resultados 1-5 de 5

Página 10

But fractions , whose denominators consist of an unit prefixed to one or more

cyphers , are called

without their denominators , and are distinguished from integers by a point

prefixed : thus x ...

But fractions , whose denominators consist of an unit prefixed to one or more

cyphers , are called

**decimal**fractions ; the numerators of which are writtenwithout their denominators , and are distinguished from integers by a point

prefixed : thus x ...

Página 11

arithmetic is enlarged , and becomes ten or an hundred , or a thousand times

greater , by placing one or two , or three cyphers after it ; so in

the value of any figure or number of figures , decreases , and becomes ten , or a ...

arithmetic is enlarged , and becomes ten or an hundred , or a thousand times

greater , by placing one or two , or three cyphers after it ; so in

**decimal**arithmetic ,the value of any figure or number of figures , decreases , and becomes ten , or a ...

Página 16

Because the number of

quotient will be integers . Divide 2.00000 by 3.1416 3.1416 ) 2.000000.636618

115040 207920 194240 57440 260240 8912 There being 4

Because the number of

**decimal**figures in the divisor and dividend , are alike , thequotient will be integers . Divide 2.00000 by 3.1416 3.1416 ) 2.000000.636618

115040 207920 194240 57440 260240 8912 There being 4

**decimal**figures in ... Página 17

EXAMPLES Reduce to a

one shilling , yard , perch , & c . is equal to one fourth of three shillings , yards ,

perches , & c . therefore if 3 be divided by 4 , the quotient will be the answer .

Reduce ...

EXAMPLES Reduce to a

**Decimal**Fraction . 4 ) 3.00 ( .75 Answer . 20 For 1 ofone shilling , yard , perch , & c . is equal to one fourth of three shillings , yards ,

perches , & c . therefore if 3 be divided by 4 , the quotient will be the answer .

Reduce ...

Página 70

Because any number consisting of both integers and

quotient of the whole considered as an integer , divided by the denominator of

the

answers ...

Because any number consisting of both integers and

**decimals**is equal , to thequotient of the whole considered as an integer , divided by the denominator of

the

**decimal**part ; and since by the nature of logarithms , subtraction in themanswers ...

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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.