 | John McGregor (teacher of mathematics.) - Mathematics - 1792 - 532 pages
...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... | |
 | David Steel - 1805 - 392 pages
...and its circumference greater than the perimeter of the latter. The area of a circle is equal to that of a triangle, whose base is equal to the circumference, and perpendicular equal to the radius. Circles, like other similar plane figures, are to one another as the square of their diameters; and... | |
 | Edward Augustus Kendall - 1811 - 462 pages
...the circle being always limited between the "two polygons. 3. The area of a circle is equal to that of a triangle whose base is equal to the circumference, and perpendicular equal to the radins. And therefore the area of the circle is found by multiplying half the circumference into half... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 962 pages
...circle being always limited between the two polygons. ," -8. The area of a circle is equal to that of ;i triangle whose base is equal to the circumference, and perpendicular equal to the radius. And there* fore the area of the circle is found by multiplying; half the circumference into half the... | |
 | Thomas Keith - 1817 - 306 pages
...hence the circle is always limited between these polygons. The area of a circle is equal to that of u triangle, whose base is equal to the circumference, and perpendicular equal to tha radius. Circles, like other similar plane figures, are in proportion to one another, as the squares... | |
 | John Mason Good - 1819 - 694 pages
...the circle being always limited between the two polygons. 3. The area of a circle is equal to that of a triangle whose base is equal to the circumference, and perpendicular equal to the radius. A nd therefore the area of the circle is found by drawing half the circumference into half the diameter,... | |
 | William Hawney - Geometry - 1820 - 336 pages
...polygon; hence the circle is always limited between these polygons. The area of a circle is equal to that of a triangle, whose base is equal to the circumference, and perpendicular equal to the radius. Circles, like other similar plane figures, are in proportion to one another, as the squares of their... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...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... | |
 | 1824 - 492 pages
...following theorem, which is of the greatest practical utility : That the area of a circle is equal to that of a triangle whose base is equal to the circumference, and perpendicular equal to the radius. He also proved, That if the diameter of a circle be reckoned unity, the circumference will be between... | |
 | George Crabb - Industrial arts - 1830 - 438 pages
...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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Area of a circle is equal to the area of a triangle whose base equals the circumference and perpendicular equals the radius. 
