A Treatise on Mensuration, Both in Theory and Practice |
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Results 1-5 of 7
Page xii
For , by preserving this distinction fo entire , as to determine the measure of all
kinds of lines in the first part , and of all kinds of surfaces in the second , I
immediately perceived that the book could not be so conveniently adapted to the
proper ...
For , by preserving this distinction fo entire , as to determine the measure of all
kinds of lines in the first part , and of all kinds of surfaces in the second , I
immediately perceived that the book could not be so conveniently adapted to the
proper ...
Page 152
D A B с 2 + 13 : 9 x 1969 First VAL ? + BC = V ( 3 16.9 = Ac ; and V 37 * 9 12 * * IV
37.9 X 4 • 1 X 13.9 X 19-9 = V 42982.4279 = 51.8305098 = the area of the
triangle Adc . And 2 2 * Some of the questions in this section are taken from other
...
D A B с 2 + 13 : 9 x 1969 First VAL ? + BC = V ( 3 16.9 = Ac ; and V 37 * 9 12 * * IV
37.9 X 4 • 1 X 13.9 X 19-9 = V 42982.4279 = 51.8305098 = the area of the
triangle Adc . And 2 2 * Some of the questions in this section are taken from other
...
Page 157
+ De2 = 762 +82 = 7100 = 10 = AE . Quest . 10. If from a triangle whose fides are
13 , 14 , 15 , be cut off by a line drawn parallel to the longest lide , an area of 24 ;
what are the lengths of the sides including that area ? First , 13 + 14 + ...
+ De2 = 762 +82 = 7100 = 10 = AE . Quest . 10. If from a triangle whose fides are
13 , 14 , 15 , be cut off by a line drawn parallel to the longest lide , an area of 24 ;
what are the lengths of the sides including that area ? First , 13 + 14 + ...
Page 168
First , by prob . 2 fect . I , the area of the triangle zyx is C 14196 square chains . D
But , it appears from rule 2 of the same problem , that the areas of triangles ,
having one angle E В , common , are as the rectangles of the sides including the
...
First , by prob . 2 fect . I , the area of the triangle zyx is C 14196 square chains . D
But , it appears from rule 2 of the same problem , that the areas of triangles ,
having one angle E В , common , are as the rectangles of the sides including the
...
Page 565
... for square equal , at • 886 , the side of a square which is equal to the same
circle ; and c for circumference , at 3'1416 , the circumference of the same circle .
Upon the second face , or that opposite the first , are a flider and four lines ,
marked ...
... for square equal , at • 886 , the side of a square which is equal to the same
circle ; and c for circumference , at 3'1416 , the circumference of the same circle .
Upon the second face , or that opposite the first , are a flider and four lines ,
marked ...
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abſciſs alſo altitude angle baſe become breadth called caſk circle circumference common cone conjugate conſequently Corol corollary curve DEMONSTRATION deſcribe diameter difference diſtance divided double draw drawn ellipſe equal evident EXAMPLE feet fides figure firſt fixed folidity fruſtum gallons give given greater half height hence hyperbola inches laſt length leſs mean meaſure method middle multiply muſt nearly Note oppoſite ordinate parabola parallel perpendicular places plane prob PROBLEM proportional putting quantity quotient radius remainder root rule ſaid ſame ſection ſegment ſeries ſet ſhall ſide ſimilar ſolid ſphere ſpheroid ſpindle ſquare ſtation ſum ſuppoſing ſurface taken tangent theſe thoſe triangle uſed verſed whole whoſe yards zone
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
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Page 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.
Page 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.
Bibliographic information
| Title | A Treatise on Mensuration, Both in Theory and Practice |
| Author | Charles Hutton |
| Illustrated by | Thomas Bewick |
| Publisher | G. G. J. and J. Robinson, and R. Baldwin; and G. and T. Wilkie, 1788 |
| Original from | the University of Michigan |
| Digitized | 11 Jun 2007 |
| Length | 703 pages |
| Export Citation | BiBTeX EndNote RefMan |