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

### Dentro del libro

Resultados 1-5 de 5

Página 62

8. the lines DE and FG , must each pass through the

of intersection H , must be the

circle may be found , by having only a segment of it given . PROBLEM XVI .

8. the lines DE and FG , must each pass through the

**centre**, therefore , their pointof intersection H , must be the

**centre**. SCHOLIUM . By this method the**centre**of acircle may be found , by having only a segment of it given . PROBLEM XVI .

Página 169

There is another

is in the middle between the two ends . To this

frame , there are the divisions of a semi - circle , or 180 degrees ; and these ...

There is another

**centre**hole about 1 of the ta . ble's breadth from one edge , andis in the middle between the two ends . To this

**centre**hole on the other side of theframe , there are the divisions of a semi - circle , or 180 degrees ; and these ...

Página 247

these last points fall within your paper , the map may be increased on it to a scale

as large again as its own ' ; and if the like distances be again set outwards in right

lines from the

these last points fall within your paper , the map may be increased on it to a scale

as large again as its own ' ; and if the like distances be again set outwards in right

lines from the

**centre**, and if these last points fall within your paper , it will ... Página 248

From what has been said it is plain , that if a map is to be enlarged to one whose

scale is double the given one , that the distances from the respective stations to

the

enlarged ...

From what has been said it is plain , that if a map is to be enlarged to one whose

scale is double the given one , that the distances from the respective stations to

the

**centre**, being set over by the ruler's edge , will give the points for theenlarged ...

Página 249

to the

for your enlarged map , for these points will be four times further from the

than are the stations of the map . When a map is enlarged to another , whose

scale ...

to the

**centre**, being set three times beyond sạid stations , will lay out the pointsfor your enlarged map , for these points will be four times further from the

**centre**than are the stations of the map . When a map is enlarged to another , whose

scale ...

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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.