## The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |

### From inside the book

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Page 27

Then , because the sum of the logarithms of numbers ,

Then , because the sum of the logarithms of numbers ,

**gives**the logarithm of their product ; and the difference of the logarithms ,**gives**the logarithm of ... Page 29

... for when any given number exceeds 400 , the fi st quotient , being added to the Logarithm of its next lesser number , will

... for when any given number exceeds 400 , the fi st quotient , being added to the Logarithm of its next lesser number , will

**give**the Logarithm sought ... Page 30

... their sum is the Logarithm of the product ; which Logarithm , being found in the Table , will

... their sum is the Logarithm of the product ; which Logarithm , being found in the Table , will

**give**a natural number , that is , the product required . Page 50

—the given angle will be equal to the sum of the other two ; or 180 — the sum of two given angles ,

—the given angle will be equal to the sum of the other two ; or 180 — the sum of two given angles ,

**gives**the other one . Cor . 2. Page 72

... which distance ed , measured on the same line of chords ,

... which distance ed , measured on the same line of chords ,

**gives**the quantity of the angle BAC , as required ; this is plain from def . 17 . PROB .### What people are saying - Write a review

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### Common terms and phrases

acres altitude angle Answer arch base bearing called centre chains chord circle Co-sec Co-sine Co-tang column compasses contained decimal degrees Dep Lat difference direct Dist distance divided divisions draw drawn east edge equal EXAMPLE extended feet figures fixed four fourth give given glass greater ground half hand height Horizon inches laid land Lat Dep latitude length less logarithm manner marked measure meridian method minutes multiplied natural object observed opposite parallel perches perpendicular plane pole PROB proportion Quadrant quotient radius reduce remainder right angles right line root rule scale Secant sect side sights sine square station Sun's suppose survey taken Tang tangent theo third triangle true whole

### Popular passages

Page 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.

Page 27 - 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.

Page 201 - RULE. From half the sum of the three sides subtract each side severally.

Page 2 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 108 - 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.

Page 2 - ... then multiply the second and third terms together, and divide the product by the first term, and the quotient will be the answer ; — in the same denomination with the third term.

Page 29 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.