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" Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude... "
The shipwright's vade-mecum [by D. Steel]. - Σελίδα 41
των David Steel - 1805
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A pocket encyclopædia, or library of general knowledge, Τόμοι 1-4

Edward Augustus Kendall - 1811 - 462 σελίδες
...number of the sides of these is greater : the circle being always limited between the "two polygons. 3. The area of a circle is equal to that of a triangle...the circumference, and perpendicular equal to the radins. And therefore the area of the circle is found by multiplying half the circumference into half...

Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and Polite ..., Τόμος 1

Edward Augustus Kendall - 1811 - 962 σελίδες
...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...

Elements of the Philosophy of the Human Mind, Τόμος 2

Dugald Stewart - 1814 - 560 σελίδες
...may be expressed by the formula a = a ? Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude ;" would it not be an obvious...

The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 σελίδες
...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 3

John Mason Good - 1819 - 694 σελίδες
...number«! the »ides of these it greater ; the circle being always limited between the two polygons. 3. The area of a circle is equal to that of a triangle...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,...

Hawney's Complete Measurer: Or, The Whole Art of Measuring: Being a Plain ...

William Hawney - 1820 - 336 σελίδες
...circumference of its inscribed polygon; hence the circle is always limited between these polygons. The area of a circle is equal to that of a triangle,...radius. Circles, like other similar plane figures, are in proportion to one another, as the squares of their diameters and the circumferences of circles,...

Elements of the Philosophy of the Human Mind, Τόμος 2

Dugald Stewart - 1821 - 348 σελίδες
...may be expressed by the formula a = a 1 Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radins for its altitude ;" would it • I do not think,...

The Glasgow Mechanics' Magazine; and Annals of Philosophy, Τόμος 1

1824 - 492 σελίδες
...the Circle, he demonstrates the following theorem, which is of the greatest practical utility : That the area of a circle is equal to that of a triangle...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...

Glasgow Mechanics' Magazine, and Annals of Philosophy, Τόμος 1

1824 - 492 σελίδες
...the Circle, he demonstrates the following theorem, which is of the greatest practical utility : That the area of a circle is equal to that of a triangle whose lane is equal to the circumference, and perpendicular equal to the radius. He also proved, That if...

The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 418 σελίδες
...may be expressed by the formula a = a ? Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude ; " would it not be an obvious...




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