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" Any circle whose diameter is double that of another contains four times the area of the other. "
Annual Report of the Board of Regents of the Smithsonian Institution - Сторінка 101
автори: Smithsonian Institution. Board of Regents - 1891
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A Complete Treatise on Practical Mathematics: Including the Nature and Use ...

John McGregor (teacher of mathematics.) - 1792 - 532 стор.
...OF OF THE CIRCLE. A. CIRCLE may be confidered as a regular polygon of an infinite number of fidesThe area of a circle is equal to the area of a triangle, whofe, bafe is equal to the circumference, and height the radius. The proportion of the diameter to...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 стор.
...circumscribing cylinders; and has left us his attempt at the quadrature of the circle. He demonstrated that the area of a circle is equal to the area of a right-angled triart gle, of which one of its sides about the right angle is equal to tlie radius, and...
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A Dictionary of General Knowledge: Or, An Explanation of Words and Things ...

George Crabb - 1830 - 438 стор.
...circumscrihing cylinders, and has left us his attempt at the quadrature of the circle. He demonstrated that the area of a circle is equal to the area of a right-angled triangle, of which one of its sides about the right angle is equal to the radius, and...
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A Family Encyclopaedia: Or, An Explanation of Words and Things Connected ...

George Crabb - 1831 - 426 стор.
...circumscribing cylinders, and lias left us his attempt at the quadrature of the circle. He demonstrated that the area of a circle is equal to the area of a right-angled triangle, of which one of its sides about the right angle is equal to the radius, and...
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A Family Encyclopaedia: Or, An Explanation of Words and Things Connected ...

George Crabb - 1831 - 434 стор.
...circumscribing cylinder«, and has left us his attempt at the quadrature of the circle. He demonstrated that the area of a circle is equal to the area of н right-angled triangle, of which one of its sides ahoat the rieht anele is rqual to the rndiun, and...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1833 - 224 стор.
...Any circle whose diameter is double that of another contains four times the area of the other. 4. — The area of a circle is equal to the area of a triangle whose base is equal to the circumference, and perpendicular equal to the radius. 6. — The area of...
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Appendix to the Mensuration: For the Use of Teachers

1837 - 136 стор.
...answers all the purposes to which it may be applied. From what has been said, it is easy to conceive that the area of a circle is equal to the area of a right angled triangle, whose altitude is equal to the radius of a circle, and base equal to its circumference....
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The complete mathematical and general navigation tables, Том 2

Thomas Kerigan - 1838 - 700 стор.
...multiplied, its perimeter is generated into the curve of its circumscribing circle ; and therefore the area of a circle is equal to the area of a parallelogram whose shortest side is represented Ьт the semidiameter, and its longest side by a straight...
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The American Arithmetic: In which the Principles of Numbers are Explained ...

James Robinson - 1850 - 342 стор.
...same kind of iron, the side of which is 18 inches? COMPARISON OF DISS IM IL AR SU RF A CES. Aft* 271. The area of a circle is equal to the area of a triangle of which the radius of the circle is the perpendicular, and the circumference of the circle is the...
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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - 1855 - 544 стор.
...Any circle whose diameter is double that of another, contains four times the area of the other. 4. The area of a circle is equal to the area of a triangle whose base is equal to the circumference, and perpendicular equal to the radius. 5. The area of a circle...
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