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

### Dentro del libro

Resultados 1-5 de 5

Página 19

The Extraction of the

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

that

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 of

that

**square**; thus 9 is the**square**of 3 , and 3 is the root of 9 , for 3 multiplied by 3is 9 .

Página 22

Robert Gibson. If to the

we shall have our given

root of 16007.3104 ? Answer 126.52 . What is the

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 51

ABC : abc :: the

abc :: ADC : ad c , in like manner we may shew that ADC : adc :: EAD : e ad :

Therefore it ...

ABC : abc :: the

**square**of AC to the**square**of ac , and also ADC : adc :: the**square**of AC , to the**square**of ac ; therefore from equality of proportions ABC :abc :: ADC : ad c , in like manner we may shew that ADC : adc :: EAD : e ad :

Therefore it ...

Página 182

After the same manner it will appear , that the oblong ADCB will contain three

times as many squares as the side AB contains equal parts ; and in general , that

every rectangular parallelogram , whether

After the same manner it will appear , that the oblong ADCB will contain three

times as many squares as the side AB contains equal parts ; and in general , that

every rectangular parallelogram , whether

**square**or oblong , contains as many ... Página 183

resting to the left are acres , because 10

and the remaining figures are decimal parts of an acre . Multiply the five figures to

the right by 4 , cutting 5 figures from the product , and if any figure be to the left ...

resting to the left are acres , because 10

**square**four - pote chains make an acre ,and the remaining figures are decimal parts of an acre . Multiply the five figures to

the right by 4 , cutting 5 figures from the product , and if any figure be to the left ...

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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.