A Treatise on Mensuration, Both in Theory and PracticeG. G. J. and J. Robinson, and R. Baldwin; and G. and T. Wilkie, 1788 - 703 Seiten |
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Seite 148
... seg . APQDGA . The double 395'4369250 , is the zone ABCD , the fame as before . PROBLEM XII . To find the Area of the Ring included between the Cir- cumferences ABPA , DEQD of two concentric Circles . W B A R T F P E S RULE I. Multiply ...
... seg . APQDGA . The double 395'4369250 , is the zone ABCD , the fame as before . PROBLEM XII . To find the Area of the Ring included between the Cir- cumferences ABPA , DEQD of two concentric Circles . W B A R T F P E S RULE I. Multiply ...
Seite 197
... Seg- ment or Zone of it . Multiply the circumference of the sphere by the height of the part required , and the product will be the curve furface , whether it be fegment , zone , he- mifphere , or the whole fphere . * 03 Note ...
... Seg- ment or Zone of it . Multiply the circumference of the sphere by the height of the part required , and the product will be the curve furface , whether it be fegment , zone , he- mifphere , or the whole fphere . * 03 Note ...
Seite 665
Charles Hutton. A NEW AND ACCURATE TABLE OF THE AREAS OF CIRCULAR SEGMENTS , FOR EVERY TEN - THOUSANDTH PART O F THE DIAMETER . ? Verf . fine Seg . Verf . Seg . Verf.
Charles Hutton. A NEW AND ACCURATE TABLE OF THE AREAS OF CIRCULAR SEGMENTS , FOR EVERY TEN - THOUSANDTH PART O F THE DIAMETER . ? Verf . fine Seg . Verf . Seg . Verf.
Seite 666
Charles Hutton. Verf . fine Seg . Verf . Seg . Verf . Seg . area fine area fine area 000 I 00000133 0046 00041540 0091 00115427 00000377 0047 00042901 0092 00117332 00000693 0048 00044277 ' c093 00119247 00001067 0049 00045666 0094 ...
Charles Hutton. Verf . fine Seg . Verf . Seg . Verf . Seg . area fine area fine area 000 I 00000133 0046 00041540 0091 00115427 00000377 0047 00042901 0092 00117332 00000693 0048 00044277 ' c093 00119247 00001067 0049 00045666 0094 ...
Seite 667
Charles Hutton. Verf . fine Seg . Verf . Seg . Verf . Seg . area fine arca fine area 0226 00449919 00325582 0227 00452895 00328259 0228 00455877 0229 00455866 0136 00210604 OISI 00322912 0137 00212925 0182 0138 00215254 0183 0139 ...
Charles Hutton. Verf . fine Seg . Verf . Seg . Verf . Seg . area fine arca fine area 0226 00449919 00325582 0227 00452895 00328259 0228 00455877 0229 00455866 0136 00210604 OISI 00322912 0137 00212925 0182 0138 00215254 0183 0139 ...
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abfcifs againſt alfo altitude angle area fine area bafe baſe becauſe breadth bung cafe cafk circle whofe circumference cofine cone confequently conjugate Corol corollary correfponding curve defcribe dimenfions diſtance divided divifion draw ellipfe equal expreffed faid fame example fcale fecond fection feet fegment feries fhall fides figure fince find the area firft firſt fixed axe fluxion folid fome fphere fpheroid fpindle fquare fruftum ftands ftation fubtract fuch fuppofing furface gallons girt given half head diameter hence hoof hyperbola inches inftrument interfecting laft problem laſt lefs length meaſure multiply muſt nearly oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule SCHOLIUM ſhall Sliding Rule tangent thefe theſe thofe tranfverfe trapezium ufed uſed Verf whofe height whole whoſe
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Seite 535 - ... being entirely dependent on them, and therefore they should be taken of as great length as possible ; and it is best for them to run along some of the hedges or boundaries of one or more fields, or to pass through some of their angles. All things being determined for these stations, you must take more inner stations, and continue to divide and subdivide, till at last you come to single fields ; repeating the same work for the inner stations as for the outer ones, till the whole is finished.
Seite 91 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Seite 2 - A Right Angle is that which is made by one line perpendicular to another. Or when the angles on each side are equal to one another, they are right angles.
Seite 614 - ... for the double row of slates at the bottom, or for how much one row of slates or tiles is laid over another. When the roof is of a true pitch, that is, forming a right angle at top ; then the breadth of the building, with its half added, is the girt over both sides nearly.
Seite 617 - The length of a room being 20 feet, its breadth 14 feet 6 inches, and height 10 feet 4 inches ; how many yards of painting are in it, deducting a...
Seite 6 - A quadrant, or quarter of a circle, is a sector, having a quarter of the circumference for its arc, and the two radii are perpendicular to each other, as G.
Seite 608 - Chimneys are commonly measured as if they were solid, deducting only the vacuity from the hearth to the mantle, on account of the trouble of them. All windows, doors, &c, are to be deducted out of the contents of the walls in which they are placed.
Seite 62 - From the edge of a ditch 18 feet wide, surrounding a fort, I took the angle of elevation of the top of the wall and found it 62° 40...
Seite 7 - The Measure of an angle, is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Seite 461 - Ans. the upper part 13'867. the middle part 3 '605. the lower part 2-528. QUEST. 48. A gentleman has a bowling green, 300 feet long, and 200 feet broad, which he would raise 1 foot higher, by means of the earth to be dug out of a ditch that goes round it : to what depth must the ditch be dug, supposing its breadth to be every where 8 feet i Ans. 7f-| feet. QUEST. 49. How high above the earth must a person be raised, that he may see j. of its surface ? Ans. to the height of the earth's diameter.