A Treatise of Practical Surveying, ...1808 - 440 páginas |
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Página 38
... scale are formed , is the chord of 60 de- grees on the line of chords . THE O. XVI . If in two triangles ABC , abc , all the angles of one , be each respectively equal to all the angles of the other , that is , A — a , B — b , C = c ...
... scale are formed , is the chord of 60 de- grees on the line of chords . THE O. XVI . If in two triangles ABC , abc , all the angles of one , be each respectively equal to all the angles of the other , that is , A — a , B — b , C = c ...
Página 54
... scale of chords take 60 degrees , for 60 is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from the line AB ; take 45 degrees the quan- tity of the given angle , from the same ...
... scale of chords take 60 degrees , for 60 is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from the line AB ; take 45 degrees the quan- tity of the given angle , from the same ...
Página 55
... scale , produce them to that or a greater length , and between them so ... equal to a given quadrila- teral figure ABCD . fig . 6 . Draw the diagonal ... equal , therefore if ABC be added to each , then ABCD = BEC . PROB . XIX . To make a ...
... scale , produce them to that or a greater length , and between them so ... equal to a given quadrila- teral figure ABCD . fig . 6 . Draw the diagonal ... equal , therefore if ABC be added to each , then ABCD = BEC . PROB . XIX . To make a ...
Página 57
... equal parts . By this method the signs , tangents , & c . may be drawn to any radius ; and if after , they be transferred to lines on a rule , we shall have the scales of signs , tangents , & c . ready for use . Concerning Scales of equal ...
... equal parts . By this method the signs , tangents , & c . may be drawn to any radius ; and if after , they be transferred to lines on a rule , we shall have the scales of signs , tangents , & c . ready for use . Concerning Scales of equal ...
Página 79
... scale of equal parts , from A to C ; from C , let fall the perpendicular BC ( by prob . 7. sect . 1. ) and that will constitute the triangle ABC . Measure the lines BC , and AB , from the same scale of equal parts that AC was taken from ...
... scale of equal parts , from A to C ; from C , let fall the perpendicular BC ( by prob . 7. sect . 1. ) and that will constitute the triangle ABC . Measure the lines BC , and AB , from the same scale of equal parts that AC was taken from ...
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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.