Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" PROP. V. THEOR. The area of any circle is equal to the rectangle contained by the semidiameter, and a straight line equal to half the circumference. Let ABC be a circle of which the centre is D, and the diameter AC ; if in AC produced there be taken AH... "
Alternate circles and their connection with the ellipse - Page 1
by Edward Adolphus Seymour (11th duke of Somerset.) - 1851
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...A and B are not unequal, that is, they are equal to each other. / PROP. V. THEOR. ' THE area of any circle is equal to the rectangle contained by the semidiameter and a straight line equal to half the circumference. Let ABC be a circle, of which the centre is D, and the diameter AC...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...Therefore, A and B are not unequal ; that is, they are equal to one another. PROP. V. THEOR. The area of any circle is equal to the rectangle contained by the semidiameter, and a straight line equal to half the circumference. Let ABC be a circle of which the centre is D, and the diameter AC...
Full view - About this book

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...other inscribed in it, which shall differ from one another by a space less than any given space. V. The area of a circle is equal to the rectangle contained by the semi. diameter, and a straight line equal to half the circumference. Cor. 2. Hence a polygon may...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...Therefore, A and B are not unequal ; that is, they are equal to one another. PROP. V. THEOR. The area of any circle is equal to the rectangle contained by the semi-diameter, and a straight line equal to half the circumference. Let ABC be a circle of which the centre is D, and the diameter AC...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...Therefore, A and B are not unequal ; that is, they are equal to one another. PROP. V. THEOR. The area of any circle is equal to the rectangle contained by the semi-diameter, and a straight line equal to half the circumference. Let ABC be a circle of which the centre is D, and the diameter AC...
Full view - About this book

An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...the circle are not unequal, that is, they are equal to one another. PROP. IX. THEOR. The area of any circle is equal to the rectangle contained by the semidiameter, and a straight line equal to half the circumference. Let ABC (fig. 8) be a circle, of which the centre is L, and diameter...
Full view - About this book

Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 pages
...greater than cir. circle OQ, it follows that, CA ; OQ : ! cir. circle CA ; cir. circle OQ. 75. THEOREM. The area of a circle is equal to the rectangle contained by its circumference and half the radius : that is, area circle CD = cir. circle CD x ^ CD. For if cir....
Full view - About this book

The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...a pyramid is equal to the third part of that of a prism of the same base and altitude. 2. Show that the area of a circle is equal to the rectangle contained by the circumference and half the radius. 4. Investigate a general expression for the solidity of a rectangular...
Full view - About this book

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...therefore A and B are not unequal j that is, they are equal to one another. PROPOSITION VII. THEOREM. Every circle is equal to the rectangle contained by the semidiameter, and a straight line equal to half the circumference. Let ABC be a circle of which the centre is D, and the diameter AC...
Full view - About this book

The Mathematical Monthly, Volume 2

1860 - 462 pages
...CONSTRUCTION OF ТНК ARKA OF A CIRCLE.* By CHAUNCKY SMITH, of the Suffolk Bar, Boston. PROPOSITION. The area of a circle is equal to the rectangle contained by its semicircuniference and semidiameter. Children usually find this proposition in their arithmetics,...
Full view - About this book




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