A Treatise of Practical Surveying, ...1808 - 440 pages |
From inside the book
Results 1-5 of 64
Page
... is annexed a short table of difference of latitude and half departure , to every degree and quarter of a degree of the quadrant , the stationary distance being one one chain ; which will be found as ready , PREFACE .
... is annexed a short table of difference of latitude and half departure , to every degree and quarter of a degree of the quadrant , the stationary distance being one one chain ; which will be found as ready , PREFACE .
Page 13
... half the number of decimals that we have in the square . Thus , Root . 3857.300000 ( 62,107 Answer , 36 122 ) 257 244 1241 ) 1330 1241 124207 ) 890000 869449 20551 IF If to the square of this root we add the THE SQUARE ROOT . 13.
... half the number of decimals that we have in the square . Thus , Root . 3857.300000 ( 62,107 Answer , 36 122 ) 257 244 1241 ) 1330 1241 124207 ) 890000 869449 20551 IF If to the square of this root we add the THE SQUARE ROOT . 13.
Page 24
... half , third , fourth , & c . part . Note . Though these postulates are not always quoted , the reader will easily perceive where , and in what sense they are to be understood . AXIOMS or self - evident TRUTHS . 1. Things that are equal ...
... half , third , fourth , & c . part . Note . Though these postulates are not always quoted , the reader will easily perceive where , and in what sense they are to be understood . AXIOMS or self - evident TRUTHS . 1. Things that are equal ...
Page 31
... half the arc it subtends or stands on . Cor . 2. Hence all angles at the circumference of a circle which stand on the same chord as AB , are equal to each other , for they are all measured by half the arc they stand on , viz . by half ...
... half the arc it subtends or stands on . Cor . 2. Hence all angles at the circumference of a circle which stand on the same chord as AB , are equal to each other , for they are all measured by half the arc they stand on , viz . by half ...
Page 32
... half the arc AB , or the angle ADB is less than half a semicircle , and consequently less than a right an- gle . fig . 26 . Cor . 4. An angle in a segment less than a semi- circle , is greater than a right angle , for since the arc AEC ...
... half the arc AB , or the angle ADB is less than half a semicircle , and consequently less than a right an- gle . fig . 26 . Cor . 4. An angle in a segment less than a semi- circle , is greater than a right angle , for since the arc AEC ...
Other editions - View all
A Treatise of Practical Surveying: Which Is Demonstrated From Its First ... Robert Gibson No preview available - 2018 |
Common terms and phrases
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-fecant Secant Co-fine Co-tang column contained cyphers decimal decimal fraction diameter difference Dift Diſt distance line divided draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument latitude logarithm measure meridian distance method multiplied needle number of degrees object off-sets parallel parallelogram perpendicular piece of ground plane Plate pole Portmarnock PROB protractor quotient radius right angles right line scale of equal second station sect semicircle side sights sine square root stationary distance stationary line sun's survey taken tangent thence theo theodolite thro trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation Vulgar Fraction whence ΙΟ
Popular passages
Page 32 - 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 199 - ... that triangles on the same base and between the same parallels are equal...
Page 94 - 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 23 - Four quantities are said to be in proportion when the product of the extremes is equal to that of the means : thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D.
Page 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 37 - ABDE+ACGF the sum of the squares —BKLH-\-KCML, the sum of the two parallelograms or square BCMH; therefore the sum of the squares on AB and AC is equal to the square on BC.
Page 24 - Things that are equal to one and the same thing, are equal to each other. 2. Every whole is greater than its part. % 3. Every whole is equal to all its parts taken together. 4 If to equal things, equal things be added, the whole will be equal. 5. If from equal things, equal things be deducted the remainders will be equal.
Page 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Page 182 - VI. To find the content of a triangular piece of ground, Multiply the base by half the perpendicular, or the perpendicular by half the base ; or take half the product of the base into the perpendicular. The reason hereof is plain, from cor.
Page 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.