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 91
... Multiply the length by the height or perpen- dicular breadth , and the product will be the area . That is , AB X AC the area . Note . Because the length of a fquare is equal to its height , its area will be found by multiplying the fide ...
... Multiply the length by the height or perpen- dicular breadth , and the product will be the area . That is , AB X AC the area . Note . Because the length of a fquare is equal to its height , its area will be found by multiplying the fide ...
Σελίδα 97
... multiply the half fum and the three remainders H ** DEMONSTRATION . aa - cc For , baca - c : = AP - PC ; therefore 16+ 26 aa - cc bb + aa - cc 26 b = AP : hence bb + aa -CC aa - ( ) 2 = A 26 -- c4 ✓ 2a2 b2 — ba + 2b2 c2 — aa + 2a2 c2 ...
... multiply the half fum and the three remainders H ** DEMONSTRATION . aa - cc For , baca - c : = AP - PC ; therefore 16+ 26 aa - cc bb + aa - cc 26 b = AP : hence bb + aa -CC aa - ( ) 2 = A 26 -- c4 ✓ 2a2 b2 — ba + 2b2 c2 — aa + 2a2 c2 ...
Σελίδα 102
... multiply the difference by the tangent of the angle formed by the diagonals , and of the product will be the area . S That is , ABCD2 DA2 + BC2 X tan . Or Asradius : tan . R :: AB + CD2 2 Rarea , DA2 + BC2 : area . Note . This rule ...
... multiply the difference by the tangent of the angle formed by the diagonals , and of the product will be the area . S That is , ABCD2 DA2 + BC2 X tan . Or Asradius : tan . R :: AB + CD2 2 Rarea , DA2 + BC2 : area . Note . This rule ...
Σελίδα 103
... multiply any two adjacent fides together , and the other two fides toge- ther ; and multiply the fum of thefe two products by the fine of the angle included by either of the pairs of fides which are multiplied together ; fo fhall half ...
... multiply any two adjacent fides together , and the other two fides toge- ther ; and multiply the fum of thefe two products by the fine of the angle included by either of the pairs of fides which are multiplied together ; fo fhall half ...
Σελίδα 105
... multiply the four remainders conti- nually together , and the fquare root of the laft pro- duct will be the area . That is , ✓a + b + c - d 2 the area . a + b - c + d X X 2 a = b + c + d -a + b + c + d 2 X 2 Or if s be half the fum of ...
... multiply the four remainders conti- nually together , and the fquare root of the laft pro- duct will be the area . That is , ✓a + b + c - d 2 the area . a + b - c + d X X 2 a = b + c + d -a + b + c + d 2 X 2 Or if s be half the fum of ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
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.