Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" CD. conseconsequently the whole polygon, or all the triangles added together which compose it, is equal to the- rectangle of the common altitude CD, and the halves of all the sides, or the half perimeter of the polygon. Now, conceive the number of sides... "
A Course of Mathematics: Composed for the Use of the Royal Military Academy - Page 344
by Charles Hutton - 1860 - 895 pages
Full view - About this book

A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...8)1 is equal to the rectangle of the half base AD and the altitude CD. conseconsequently the whole polygon, or all the triangles added together which...rectangle of the radius and half the circumference. 4. BD OF PLANES AND SOLIDS, DEFINITIONS. DBF. 88. The common Section of two Planes, is the line in...
Full view - About this book

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...the halves of all the sides, or the half perimeter of the polygon. Now, conceive the number of tides of the polygon to be indefinitely increased ; then...CD will become equal to the radius, and the whole polygen equal to the circle. Consequently the space of the circle, or of the polygon in that state,...
Full view - About this book

A Course of Mathematics for the Use of Academies: As Well as ..., Volume 1

Charles Hutton - Mathematics - 1825 - 608 pages
...added together which compose it, is equal to the rectangle of the common altitude CD. and the halve? of all the sides, or the half perimeter of the polygon....rectangle of the radius and half the circumference. %. ED OF PLANES AND SOLIDS. DEFINITIONS. DBF. 88. The common Section of two Planes, is the line in...
Full view - About this book

Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...to be increased indefinitely, and consequently the length of each side to be decreased indefinitely; then will its perimeter coincide with the circumference of the circle, and the perpendicular from the centre on one of its sides will become equal to the radius. Hence the surface...
Full view - About this book

A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 632 pages
...cor. 2), is equal to the rectangle of the half base AD and the altitude CD ; consequently the whole polygon, or all the triangles added together which...radius, and the whole polygon equal to the circle. Censequently the space of the circle, or of the polygon in that state, is equal to the rectangle of...
Full view - About this book

Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...the triangles added together which compose it, is equal to the rectangle of the common altitude OG, and the halves of all the sides, or the half perimeter...coincide with the circumference of the circle, and the altitude OG will become equal to the radius, and the whole polygon equal to the circle. Consequently,...
Full view - About this book

Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...sides. The area of the polygon will be equal to its perimeter multiplied by half of CD (Prop. VII.). Conceive the number of sides of the polygon to be indefinitely increased, by continually bisecting the arcs which subtend the sides; its perimeter will ultimately coincide with...
Full view - About this book

A Treatise on Problems of Maxima and Minima Solved by Algebra

Ramchundra - Algebra - 1850 - 222 pages
...triangle ABC is equal to a rectangle of half the base AD and the altitude CD, consequently; the whole polygon, or all the triangles added together which...rectangle of the radius and half the circumference. QED (8.) EVERY SPHERE IS TWO-THIRDS OF ITS CIRCUMSCRIBING CYLINDER. (Fig. ?•) By prop. 12 of Euclid,...
Full view - About this book

Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...The area of the polygon will be equal to its perimeter multiplied A. B by half of CD (Prop. VII.). Conceive the number of sides of the polygon to be indefinitely increased, by continually bisecting the arcs subtended by the sides ; its perimeter will ultimately coincide with...
Full view - About this book

A treatise on problems of maxima and minima, solved by algebra. Repr. under ...

Rāmachandra (son of Sundara Lāla.) - Maxima and minima - 1859 - 252 pages
...triangle ABC is equal to a rectangle of half the base AD and the altitude CD; consequently, the whole polygon, or all the triangles added together which...rectangle of the radius and half the circumference. QED (8.) EVERY SPHERE IS TWO-THIRDS OF ITS CIRCUMSCRIBING CYLINDER. (Fig. 7.) By prop. 12 of Euclid,...
Full view - About this book




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