An Introductory Treatise on Mensuration in Theory and Practice ...Simms and M'Intyre, 1850 - 12 páginas |
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Términos y frases comunes
12 feet 40 inches 9 inches Acres altitude angle axes base breadth bung diameter called cask centre chord circle circular segment circumference computed conic conic sections content in imperial cosine COTAN cube cubic inches curve cylinder decimals diagonal diagram divided ellipse equal equidistant Euclid EXAMPLES expression feet 6 inches feet 9 figure find the area find the solid fixed axis follows foot found by multiplying frustum geometry half head diameter Hence hyperbola hyperboloid hypotenuse imperial gallons learner length logarithm measures middle section middle zone multiply the sum opposite ordinates parabola paraboloid parallel parallelogram parallelopiped perpendicular plane prism prismoid PROBLEM pyramid quotient radius rectangle regular polygon Required the area Required the solid rhombus right-angled triangle rule secant sine slant height solid content specific gravity sphere spheroid square root square yard straight line subtract tangent thickness trapezium trapezoid ullage vertex
Pasajes populares
Página 28 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 24 - RULE. From half the sum of the three sides subtract each side severally ; multiply the half sum and the three remainders continually together, and the square root of the last product will be the area.* * DEMONSTRATION.
Página 85 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Página 151 - From three times the diameter of the sphere subtract twice the height of the segment; multiply this remainder by the square of the height and the product by 0.5236.
Página 139 - Pyramid. RULE. — Multiply the sum of the perimeters of the two ends by the slant height or side of the frustum, and half the product will be the surface required.
Página 222 - Add into one sum 39 times the square of the bung diameter, 25 times the square of the head diameter, and 26 times the product of the...
Página 31 - Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Página 17 - To measure a Parallelogram, or long square. RULE. Multiply the length by the breadth, and the product will be the area or superficial content.
Página 55 - Ans. 23° 3' 55". 4. 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...
Página 86 - Multiply half the circumference by half the diameter, and the product will be the area. Or, divide the product of the whole circumference and diameter -by 4, and the quotient will be the area. 2. Multiply the square of the diameter by .7854, and the product will be the area.