A Treatise of Practical Surveying, ...1808 - 440 páginas |
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Resultados 1-5 de 30
Página 31
... sum is double to either of them , that is , DAC + ADC is double to CAD , and therefore ECD is double to CAD ; af ... half the arc it subtends or stands on . Cor . 2. Hence all angles at the circumference of a circle which stand on the same ...
... sum is double to either of them , that is , DAC + ADC is double to CAD , and therefore ECD is double to CAD ; af ... half the arc it subtends or stands on . Cor . 2. Hence all angles at the circumference of a circle which stand on the same ...
Página 36
... sum of the squares made on the other two sides AB and ẶC , that is , to ABDE and ACGF , fig . 32 . Through A draw ... half of the square ABDE ( by cor . 2. theo . 12. ) and the triangle ABH is half the parallelogram BKLH ( by the same ...
... sum of the squares made on the other two sides AB and ẶC , that is , to ABDE and ACGF , fig . 32 . Through A draw ... half of the square ABDE ( by cor . 2. theo . 12. ) and the triangle ABH is half the parallelogram BKLH ( by the same ...
Página 37
... sum of the other two angles is 120 degrees ( by cor . 1. theo . 5. ) but since AC = CB , the an- gle CAB CBA ( by lemma preceding theo . 7. ) consequently each of them will be 60 , the half of 120 degrees , and the three angles will be ...
... sum of the other two angles is 120 degrees ( by cor . 1. theo . 5. ) but since AC = CB , the an- gle CAB CBA ( by lemma preceding theo . 7. ) consequently each of them will be 60 , the half of 120 degrees , and the three angles will be ...
Página 92
... half the logarithm of the sum of the squares of the two sides , will be the logarithm of the hypothenuse . Thus , The sum of squares , as before , is 124609 ; its log . is 5.09554 , the half of which is 2.54777 ; and the corresponding ...
... half the logarithm of the sum of the squares of the two sides , will be the logarithm of the hypothenuse . Thus , The sum of squares , as before , is 124609 ; its log . is 5.09554 , the half of which is 2.54777 ; and the corresponding ...
Página 94
... half of each side is the sine of its opposite angle ; but the sines of those angles , in tabular parts , are ... sum of the two . given sides AB and BC , including a given angle ABC , is to their difference , as the tangent of half the ...
... half of each side is the sine of its opposite angle ; but the sines of those angles , in tabular parts , are ... sum of the two . given sides AB and BC , including a given angle ABC , is to their difference , as the tangent of half the ...
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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.