Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books 1 - 10 of 40 on to prove that the area of a circle is equal to the product of its circumference by....
" to prove that the area of a circle is equal to the product of its circumference by the half of its radius "
Reflexions on the Metaphysical Principles of the Infinitesimal Analysis - Page 85
by Lazare Carnot - 1832 - 132 pages
Full view - About this book

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...each other as their radii AC, DO; hence arc. AB : arc. DE : : AC : DO. PROPOSITION XII. THEOREM. The area of a circle is equal to the product of its circumference by half the radius Let us designate the surface of the circle whose radius is CA by surf. CA; we shall...
Full view - About this book

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 224 pages
...^ntire circles ; but the entire circles are as the squares of their radii; therefore THEOREM. 289. The area of a circle is equal to the product of its circumference by half of the radius. Demonstration. Denoting by surf. CA the surface or area of a circle whose radius...
Full view - About this book

Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...the polygon its perimeter multiplied by half the radius of the inscribed circle. 105. THEOREM.— The area of a circle is equal to the product of its circumference by half the radius. DEM.—This follows directly from the preceding. For the circumference of the circle...
Full view - About this book

Elements of geometry: with practical applications, for the use of schools

Timothy Walker - Geometry - 1829 - 104 pages
...area of the polygon its perimeter multiplied by half the radius of the inscribed . circle. 105. —The area of a circle is equal to the product of its circumference by half the radius—. This follows directly from the preceding. For the circumference of the circle is...
Full view - About this book

Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1831 - 129 pages
...the polygon its perimeter multiplied by half the radius of the inscribed circle. 105. THEOREM.— The area of a circle is equal to the product of its circumference by half the radius. DEM.—This follows directly from the preceding. For the circun.ference of the circle...
Full view - About this book

Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...squares of their radii; therefore sect. ACB : sect. DOE : : AC 2 : DO 2 . PROPOSITION XII. THEOREM. The area of a circle is equal to the product of its circumference by half the radius.* Let ACDE be a circle whose centre is O and radius OA : then will area OA—^OAxcirc....
Full view - About this book

Elements of geometry and trigonometry

Adrien Marie Legendre - Geometry - 1839 - 359 pages
...squares of their radii; therefore sect. ACB : sect. DOE : : AC 2 : DO 2 . PROPOSITION XII. THEOREM. The area of a circle is equal to the product of its circumference by half the radius. Let ACDE be a circle whose centre is O and radius OA : then will area OA=|OAxc?rc....
Full view - About this book

Elements of Geometry and Trigonometry

Geometry - 1843 - 359 pages
...squares of their radii; therefore sect. ACB : sect. DOE : : AC 2 : DO 2 . PROPOSITION XII. THEOREM. The area of a circle is equal to the product of its circumference by half the radius. Let ACDE be a circle whose centre is O and radius OA : then will area OA=|OAxcirc....
Full view - About this book

Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...squares of their radii; therefore, sect. ACB : sect. DOE : : AC 1 : DO". PROPOSITION XI. THEOREM. The area of a circle is equal to the product of its circumference by half the radius. Let the area of the circle whose radius is OT, be designated by area ON; then will...
Full view - About this book

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

1845
...reasoning as employed in (Prop. XXIV. and Cor. B. IV) will also apply to this. PROPOSITION XV. THEOREM. The area of a circle is equal to the product of its circumference by half the radius. For if about a circle whose radius is OH, we describe a regular polygon, ABCD, &c.,...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF