A Treatise of Practical Surveying, ...1808 - 440 páginas |
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Página
... greater improvements from the pens of the most eminent mathematicians , while this seems to have been neglected ; insomuch that I have not been able to meet with one author , who has sufficiently ex- plained the whole art in its theory ...
... greater improvements from the pens of the most eminent mathematicians , while this seems to have been neglected ; insomuch that I have not been able to meet with one author , who has sufficiently ex- plained the whole art in its theory ...
Página 2
... greater than the second ; and the second ten times than the third . 03 1000 greater Hence it appears , that as the value and deno- mination of any figure or numbers of figures in common arithmetic is enlarged , and becomes ten or an ...
... greater than the second ; and the second ten times than the third . 03 1000 greater Hence it appears , that as the value and deno- mination of any figure or numbers of figures in common arithmetic is enlarged , and becomes ten or an ...
Página 3
... greater , by prefixing one , or two , or three cyphers to it and that any number of cyphers , before an integer , or after a decimal fraction , has no effect in changing their values , Integers . Decimals . 1 2 7 1 6 3 5 1 2 3 6 7 ...
... greater , by prefixing one , or two , or three cyphers to it and that any number of cyphers , before an integer , or after a decimal fraction , has no effect in changing their values , Integers . Decimals . 1 2 7 1 6 3 5 1 2 3 6 7 ...
Página 16
... . An obtuse angle is that which is wider or greater than a right one , as the angle ADE . fig . 7. and an acute angle is less than a right one , as EDB . fig . 7 . Plate I. 13. Acute and obtuse angles in general are 13. Acute 16 GEOMETRY .
... . An obtuse angle is that which is wider or greater than a right one , as the angle ADE . fig . 7. and an acute angle is less than a right one , as EDB . fig . 7 . Plate I. 13. Acute and obtuse angles in general are 13. Acute 16 GEOMETRY .
Página 17
... greater or less as the radius is . 19. A chord is a right line drawn from one end of an arc or arch ( that is , any part of the circum- ference of a circle ) to the other ; and is the measure of the arc . Thus the right line HG , is the ...
... greater or less as the radius is . 19. A chord is a right line drawn from one end of an arc or arch ( that is , any part of the circum- ference of a circle ) to the other ; and is the measure of the arc . Thus the right line HG , is the ...
Otras ediciones - Ver todas
A Treatise of Practical Surveying: Which Is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2018 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 199 - ... that triangles on the same base and between the same parallels are equal...
Página 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.
Página 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.
Página 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Página 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.
Página 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.