A Treatise of Practical Surveying, ...1808 - 440 sider |
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Side 15
... the shortest that can be drawn between any two points , as the line AB . fig . 1 . but if it be not the shortest , it is then called a curve line , as AB . fig 2 . 6 A Plate I. 6. A superfices or surface is considered only THE ...
... the shortest that can be drawn between any two points , as the line AB . fig . 1 . but if it be not the shortest , it is then called a curve line , as AB . fig 2 . 6 A Plate I. 6. A superfices or surface is considered only THE ...
Side 19
... drawn from the centre thro ' the other end : thus BK is the tangent of the arc HB . fig . 8 . 25. And the line which terminates the tan- gent , that is CK , is called the secant of the arc HB . fig . 8 . 26. What an arc wants of a ...
... drawn from the centre thro ' the other end : thus BK is the tangent of the arc HB . fig . 8 . 25. And the line which terminates the tan- gent , that is CK , is called the secant of the arc HB . fig . 8 . 26. What an arc wants of a ...
Side 20
... draw- ing them according to def . 22 , there results the self same line ; thus HL is the sine of the arc HB , or of its supplement ADH . fig . 8 . 30. The measure of a right - lined angle , is the arc of a circle swept from the angular ...
... draw- ing them according to def . 22 , there results the self same line ; thus HL is the sine of the arc HB , or of its supplement ADH . fig . 8 . 30. The measure of a right - lined angle , is the arc of a circle swept from the angular ...
Side 23
... drawn from any one given point to another . 2. That a right line may be produced or con- tinued at pleasure . 3. That from any centre and with any radius , the circumference of a circle may be described . 4. It is also required that the ...
... drawn from any one given point to another . 2. That a right line may be produced or con- tinued at pleasure . 3. That from any centre and with any radius , the circumference of a circle may be described . 4. It is also required that the ...
Side 29
Robert Gibson . Plate I. Thro ' C , let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ...
Robert Gibson . Plate I. Thro ' C , let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 199 - ... that triangles on the same base and between the same parallels are equal...
Side 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.
Side 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.
Side 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 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.
Side 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.
Side 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Side 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.
Side 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.