A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Page 9
... parts , this number is called the denominator ; and if we chuse to take any number of such parts less than the whole , this is called the numerator of a fraction . B 7 . Denominator The numerator in the vulgar form , THE ...
... parts , this number is called the denominator ; and if we chuse to take any number of such parts less than the whole , this is called the numerator of a fraction . B 7 . Denominator The numerator in the vulgar form , THE ...
Page 11
... less , while the denomination of it increases , and becomes so many times greater , by prefixing one , or two , or three cyphers to it : and that any number of cyphers , before an integer , or after a decimal fraction , has no effect in ...
... less , while the denomination of it increases , and becomes so many times greater , by prefixing one , or two , or three cyphers to it : and that any number of cyphers , before an integer , or after a decimal fraction , has no effect in ...
Page 24
... . An obtuse angle is that which is wider or greater than a right one , as the angle ADE , fig . 7. and an acute angle is less than a right one , as EDB . fig . 7 . Plate 1 . 13. Acute and obtuse angles in general 24 GEOMETRY .
... . An obtuse angle is that which is wider or greater than a right one , as the angle ADE , fig . 7. and an acute angle is less than a right one , as EDB . fig . 7 . Plate 1 . 13. Acute and obtuse angles in general 24 GEOMETRY .
Page 25
... less as the radius is . 19. A chord is a right line drawn from one end of an arc or arch ( that is , any part of the circum- ference of a circle ) to the other ; and is the measure of the arc . Thus the right line HG , is the measure of ...
... less as the radius is . 19. A chord is a right line drawn from one end of an arc or arch ( that is , any part of the circum- ference of a circle ) to the other ; and is the measure of the arc . Thus the right line HG , is the measure of ...
Page 26
... 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 is a part thereof less than a ...
... 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 is a part thereof less than a ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 207 - ... that triangles on the same base and between the same parallels are equal...
Page 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.
Page 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 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.
Page 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.
Page 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.
Page 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°.
Page 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.