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

### Dentro del libro

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Página 19

The Extraction of the SQUARE

number multiplied by itself ; and the number so multiplied , is called the

that square ; thus 9 is the square of 3 , and 3 is the

is 9 .

The Extraction of the SQUARE

**ROOT**. A SQUARE number is the product of anumber multiplied by itself ; and the number so multiplied , is called the

**root**ofthat square ; thus 9 is the square of 3 , and 3 is the

**root**of 9 , for 3 multiplied by 3is 9 .

Página 20

What's the square

481 416 1086 ) .6516 6516 Because the number of figures in the given square

number is even , we find the nearest square number to the two first figures 29 ...

What's the square

**root**of this square number , 298116 ? 29,81,16 ( 546 25 104 )481 416 1086 ) .6516 6516 Because the number of figures in the given square

number is even , we find the nearest square number to the two first figures 29 ...

Página 21

the resolvend and thence deducted leaves nothing : so is 546 the

For if the

number given . 2. What is the square

.

the resolvend and thence deducted leaves nothing : so is 546 the

**root**sought .For if the

**root**546 be squared or multiplied by 546 the product will be the squarenumber given . 2. What is the square

**root**of 1710864 ? 1,71,08,64 ( 1308 Answer.

Página 22

Robert Gibson. If to the square of this

we shall have our given square , whose

Robert Gibson. If to the square of this

**root**we add the remaining figures 20551 ;we shall have our given square , whose

**root**was required . What is the square**root**of 16007.3104 ? Answer 126.52 . What is the square**root**of 348.17320836 ? Página 77

PROBLEM V. To extract the square

logarithm of the number , and that is the logarithm of its square

Required the square

PROBLEM V. To extract the square

**root**of any given number . Take half of thelogarithm of the number , and that is the logarithm of its square

**root**. EXAMPLE .Required the square

**root**of 1296 . Log . of 1296 3.11260 Its half is 1.55630 its ...### Comentarios de la gente - Escribir un comentario

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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.