A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ...Lewis Nichols, 1806 - 452 sider |
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Resultat 1-5 av 29
Side 10
... proportion : for and 00 which in the decimal form we denote by .3 .03 and .003 , are fractions , of which the first is ten times greater than the second ; and the second , ten times greater than the third . 1000 3 03 Hence it appears ...
... proportion : for and 00 which in the decimal form we denote by .3 .03 and .003 , are fractions , of which the first is ten times greater than the second ; and the second , ten times greater than the third . 1000 3 03 Hence it appears ...
Side 31
... 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. POSTULATES OR PETITIONS . 1. That a right line may be drawn ...
... 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. POSTULATES OR PETITIONS . 1. That a right line may be drawn ...
Side 46
... proportion . So AB : ab :: BC : bc ; the same way the rest may be proved to be proportional . THEOREM XVII . If from a point A without a circle DBCE there be drawn two lines ADE , ABC , each of them cut- ting the circle in two points ...
... proportion . So AB : ab :: BC : bc ; the same way the rest may be proved to be proportional . THEOREM XVII . If from a point A without a circle DBCE there be drawn two lines ADE , ABC , each of them cut- ting the circle in two points ...
Side 47
... proportion between themselves as their bases BA and BD . Let any aliquot part of AB be taken , which will also measure BD : suppose that to be Ag , which will be contained twice in AB , and three times in BD , the parts Ag , gB , Bh ...
... proportion between themselves as their bases BA and BD . Let any aliquot part of AB be taken , which will also measure BD : suppose that to be Ag , which will be contained twice in AB , and three times in BD , the parts Ag , gB , Bh ...
Side 48
... proportion- als . THEOREM XIX . Triangles ABC , DEF , standing upon equal ba- ses AB and DE , are to each other as their alti- tudes CG and FH . fig . 2 . Let BI be perpendicular to AB and equal to CG , in which let KB - FH , and let AI ...
... proportion- als . THEOREM XIX . Triangles ABC , DEF , standing upon equal ba- ses AB and DE , are to each other as their alti- tudes CG and FH . fig . 2 . Let BI be perpendicular to AB and equal to CG , in which let KB - FH , and let AI ...
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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-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
Populære avsnitt
Side 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.
Side 207 - ... that triangles on the same base and between the same parallels are equal...
Side 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.
Side 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 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.
Side 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.
Side 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.
Side 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°.
Side 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.