A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ...Lewis Nichols, 1806 - 452 σελίδες |
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Σελίδα 25
... centre . 15. The describing line CB . ( fig . 8. ) is called the semidiameter or radius , or any line from the centre to the circumference : whence all radii of the same or of equal circles are equal . 16. The diameter of a circle is a ...
... centre . 15. The describing line CB . ( fig . 8. ) is called the semidiameter or radius , or any line from the centre to the circumference : whence all radii of the same or of equal circles are equal . 16. The diameter of a circle is a ...
Σελίδα 26
... centre , and so become the ra- dius hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . 8. ) must be per- pendicular to the diameter ( by def . 22 ...
... centre , and so become the ra- dius hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . 8. ) must be per- pendicular to the diameter ( by def . 22 ...
Σελίδα 27
... centre thro ' the other end : thus BK is the tangent of the arc HB . fig . 8 . 25. And the line which terminates the tangent , that is , CK is called the secant of the arc HB . fig . 8 . 26. What an arc wants of a quadrant is called the ...
... centre thro ' the other end : thus BK is the tangent of the arc HB . fig . 8 . 25. And the line which terminates the tangent , that is , CK is called the secant of the arc HB . fig . 8 . 26. What an arc wants of a quadrant is called the ...
Σελίδα 31
... centre and with any radius , 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 it is possible for one right line to be perpendi ...
... centre and with any radius , 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 it is possible for one right line to be perpendi ...
Σελίδα 39
... centre of a circle ABED , is double the angle BAD at the circumference , standing upon the same arc BED . fig . 25 . Through the point A , and the centre C , draw the line ACE : then the angle ECD = CAD + CDA ; ( by theo . 4. ) but ...
... centre of a circle ABED , is double the angle BAD at the circumference , standing upon the same arc BED . fig . 25 . Through the point A , and the centre C , draw the line ACE : then the angle ECD = CAD + CDA ; ( by theo . 4. ) but ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-sine Co-tang Tang column contained cyphers decimal decimal fraction diameter difference distance line divided divisor draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument Lat Dep Lat latitude line of numbers logarithm measure meridian distance multiplied needle number of degrees off-sets parallel parallelogram perpendicular piece of ground plane Plate prob PROBLEM proportion protractor quotient radius right angles right line scale of equal SCHOLIUM Secant second station sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance tangent thence theo theodolite THEOREM trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation whence
Δημοφιλή αποσπάσματα
Σελίδα 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 207 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 40 - 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.
Σελίδα 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.
Σελίδα 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.
Σελίδα 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.
Σελίδα 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Σελίδα 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.