A Treatise of Practical Surveying, ...1808 - 440 sider |
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Side 17
... circles are equal . 16. The diameter of a circle is a right line drawn thro ' the centre , and terminating on either side of the circumference ; and it divides the circle and circumference into two equal parts called semicir- cles ; and ...
... circles are equal . 16. The diameter of a circle is a right line drawn thro ' the centre , and terminating on either side of the circumference ; and it divides the circle and circumference into two equal parts called semicir- cles ; and ...
Side 18
... circle into two segments . 2. The less the chord is , the more unequal are the segments . 3. When the chord is greatest it becomes a di- ameter , and then the segments are equal ; and each segment is a semicircle . 21. A sector of a circle ...
... circle into two segments . 2. The less the chord is , the more unequal are the segments . 3. When the chord is greatest it becomes a di- ameter , and then the segments are equal ; and each segment is a semicircle . 21. A sector of a circle ...
Side 19
... circle BD . Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine of a quadrant , becomes the sine of 90 degrees , or the fourth part of the circle , which is 360 degrees . 23. The ...
... circle BD . Sines are said to be of as many degrees as the arc contains parts of 360 : so the radius being the sine of a quadrant , becomes the sine of 90 degrees , or the fourth part of the circle , which is 360 degrees . 23. The ...
Side 20
... circle swept from the angular point , and contained between the two lines that form the angle thus the angle HCB ( fig . 8. ) is measured by the arc HB , and is said to contain so many degrees as the arc HB does ; so if the arc HB is 60 ...
... circle swept from the angular point , and contained between the two lines that form the angle thus the angle HCB ( fig . 8. ) is measured by the arc HB , and is said to contain so many degrees as the arc HB does ; so if the arc HB is 60 ...
Side 23
... , the circumference of a circle may be described . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that that it is possible for one right line to be GEOMETRY . 23.
... , the circumference of a circle may be described . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that that it is possible for one right line to be GEOMETRY . 23.
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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.