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

### Dentro del libro

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Página 67

The nature therefore of

multiplication of their corresponding ... if we take the

those numbers , and add them together , the sum will be the

to ...

The nature therefore of

**logarithms**is such , that addition of them answers to themultiplication of their corresponding ... if we take the

**logarithms**answering tothose numbers , and add them together , the sum will be the

**logarithm**answeringto ...

Página 68

Again when one number is proposed to be divided by another ; if from the

shall be the

Again when one number is proposed to be divided by another ; if from the

**logarithm**of the dividend , we subtract the**logarithm**of the divisor , the remaindershall be the

**logarithm**of the quotient . Most tables of**logarithms**contain the**logarithms**... Página 75

From the sum of the

EXAMPLE . Let the three proposed numbers be 36 , OF

From the sum of the

**logarithms**of the second and third numbers ; deduct the**logarithm**of the first , the remainder will be the**logarithm**of the fourth required .EXAMPLE . Let the three proposed numbers be 36 , OF

**LOGARITHMS**. 75. Página 76

... 6.24827 Take the log . of 240 2.38021 3.86806 its number 7380 the 4th

required . PROBLEM IV . To find the square of any given number . Multiply the

given number's

EXAMPLE .

... 6.24827 Take the log . of 240 2.38021 3.86806 its number 7380 the 4th

required . PROBLEM IV . To find the square of any given number . Multiply the

given number's

**logarithm**by 2 , and the product is the**logarithm**of its square .EXAMPLE .

Página 391

A TABLE OF

figures 1 , of three figures 2 , of four figures 3 ; being always an unit less than the

number of ...

A TABLE OF

**LOGARITHMS**, FROM 1 To 10,000 . NOTE . The index of the**logarithm**of every integer number consisting of only one figure is 0 , of twofigures 1 , of three figures 2 , of four figures 3 ; being always an unit less than the

number of ...

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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.