## A Treatise on Practical Surveying: Which is Demonstrated from Its First Principles. Wherein Everything that is Useful and Curious in that Art, is Fully Considered and Explained |

### Dentro del libro

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Página 62

B C -D E F From the point A , to any point , F , in the line CD , draw the line AF ; with the interval FA , and one

B C -D E F From the point A , to any point , F , in the line CD , draw the line AF ; with the interval FA , and one

**foot**in F , describe the arc AE , and with the like interval and one**foot**in A , describe the arc BF , making BF = AE ... Página 86

From what has been said , we may easily find the sine , tangent , or secant of any arc , from the tables , by looking for the given number of degrees at the head or

From what has been said , we may easily find the sine , tangent , or secant of any arc , from the tables , by looking for the given number of degrees at the head or

**foot**of the page , according as they are less or greater than 45 ... Página 87

Look at the

Look at the

**foot**of the page ( because the proposed degrees are more than 45. ) for 54 degrees , and in the right hand column for 30 minutes ; -then in the column marked tangent at its bottom , and on the same line with the 30 minutes ... Página 105

... lay 300 from A to B ; on B erect an infinite blank perpendicular line , with AC 500 , from the same scale , and one

... lay 300 from A to B ; on B erect an infinite blank perpendicular line , with AC 500 , from the same scale , and one

**foot**of the compass , in A , cross the perpendicular line in C ; and the triangle is constructed . By prob . Página 115

... by an infinite blank line ; with BC 200 , from a like scale of equal parts that AB was taken , and one

... by an infinite blank line ; with BC 200 , from a like scale of equal parts that AB was taken , and one

**foot**in B , describe the arc DC to cut the last blank line in the points D and C. Now if the angle C had been required obtuse ...### Comentarios de la gente - Escribir un comentario

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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2021 |

### Términos y frases comunes

acres angle Answer base bearing called centre chains chord circle Co-sine Co-tang column contained decimal Deg Dist difference direct Dist distance divided division double draw drawn east edge equal EXAMPLE feet field field-book figures foot four four-pole give given greater ground half height Hence inches laid land length less logarithm manner measure meridian distance method multiplied needle object observe off-sets opposite parallel parallelogram perches perpendicular plane pole PROB proceed proportion quantity quotient radius reduce remainder right angles right line root scale secant sect side sights sine square station stationary suppose survey taken tangent theo THEOREM third triangle triangle ABC true turn variation whole

### Pasajes populares

Página 44 - 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 101 - ... on a side, denotes its length to be given in feet, yards, perches, or miles, &c. and this mark", either in an angle or on a side, denotes the angle or side to be required. ; From these proportions it may be observed ; that to find a side, when the angles and one side are given, any side may be made the radius; and to find an angle, one of the given sides must be made the radius. So that in the 1st, 2d, and 3d cases, any side as well required as given may be made the radius, and in the first statings...

Página 48 - Triangles upon equal bases, and between the same parallels, are equal to one another.

Página 95 - 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 116 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Página 6 - POMEROY, of the said District, hath deposited in this Office the title of a Book, the right whereof he claims as Proprietor, in the words following, to wit : . . "Biography of the Signers to the Declaration of Independence.

Página 50 - 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 117 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Página 177 - ... the two cardinal points of your compass the point of the needle lies between (the north, south, east, and west being called the four cardinal points, and are graved on the bottom of the box), putting down those points together by their initial letters, and thereto annexing the number of degrees, counting from the north or south, as before, thus ; if the point of your needle lies between the north and east, north and west, south and east, or south and west points in the bottom of the box, then...

Página 286 - But if one corner cannot be seen from the other, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner: then...