A Treatise on Mensuration, Both in Theory and PracticeG. G. J. and J. Robinson, and R. Baldwin; and G. and T. Wilkie, 1788 - 703 σελίδες |
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Σελίδα vi
... curve figures which he attempted , are the circle and sphere ; and when he could not accurately determine their measures , he gave an excellent method of approximating to them , by fhewing how in a circle to infcribe a regular polygon ...
... curve figures which he attempted , are the circle and sphere ; and when he could not accurately determine their measures , he gave an excellent method of approximating to them , by fhewing how in a circle to infcribe a regular polygon ...
Σελίδα viii
... curves were measured ; and although feveral of them could not be exactly fquared or cubed , yet general and infinite ap- proximating feries were affigned , of which the laws of their continuation were manifeft , and in fome of which the ...
... curves were measured ; and although feveral of them could not be exactly fquared or cubed , yet general and infinite ap- proximating feries were affigned , of which the laws of their continuation were manifeft , and in fome of which the ...
Σελίδα ix
... curves to coincide with right lines ; but propofed it in fuch a form as admits of a ftrict geometrical demonftration ... curve , whofe quadrature was unfuc- cessfully attempted by the ancients , became by this method perfectly quadrable ...
... curves to coincide with right lines ; but propofed it in fuch a form as admits of a ftrict geometrical demonftration ... curve , whofe quadrature was unfuc- cessfully attempted by the ancients , became by this method perfectly quadrable ...
Σελίδα xii
... curve furfaces , excepting that of the fphere . In the third part , which treats of folids , I have generally placed the problems which relate to the measures of the lines , furfaces , and folidities of each particular figure ...
... curve furfaces , excepting that of the fphere . In the third part , which treats of folids , I have generally placed the problems which relate to the measures of the lines , furfaces , and folidities of each particular figure ...
Σελίδα xiii
... curves in general . In which are contained fome of the most univerfal and important propofitions that can be made in the fubject . Sect . 2. Contains the equidiftant - ordinate method ; or , the approximate quadrature and cubature of curves ...
... curves in general . In which are contained fome of the most univerfal and important propofitions that can be made in the fubject . Sect . 2. Contains the equidiftant - ordinate method ; or , the approximate quadrature and cubature of curves ...
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Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.