Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes... "
The Elements of Solid Geometry - Page 46
by William C. Bartol - 1893 - 95 pages
Full view - About this book

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 630 pages
...other as the squares of their homologous sides ; hence, the convex surfaces of similar cones are to each other as the squares of their altitudes, or as the squares of the radii of their bases. If the cones arc conjugate, the areas of their generating triangles are equal ; and the convex surfaces...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...R) 2w(A + R r H+R h + r IT h* That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of...altitudes, or as the squares of the radii of their bases. PROPOSITION III.— PROBLEM. 12. The volume of a cylinder is equal to the product of its base by i&...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...total areas, of similar cones of revolution are to each other as the squares of their slant heights, or as the squares of their altitudes, or as the squares of the radii of their bases. /"r\ -.vA-.y PROPOSITION VI.— THEOREM. >.. 26. The lateral area of a frustum of a cone of revolution...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...~ A2 : ^R H+R ~ rh + r R IP A' That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of...altitudes, or as the squares of the radii of their bases. PROPOSITION III.— PROBLEM. 12. The volume of a cylinder is equal to the product of its base by itt...
Full view - About this book

A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 566 pages
...demonstrated. FIQ. 80Z. PROPOSITION XV. 498. Theorem. — The convex surfaces of similar cylinders of revolution are to each other as the squares of their altitudes, and as the squares of the radii of their bases. DEM. — Let H and h be the altitudes, and R and r...
Full view - About this book

A Treatise on Special, Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...demonstrated. FIG. 382. PROPOSITION XT. 498. Theorem, — The convex surfaces of similar cylinders of revolution are to each other as the squares of their altitudes, and as the squares of the radii of their bases. DEM.— Let H and h be the altitudes, and R and r the...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1875 - 390 pages
...' h ~~ h' ~~ r* ' -R) R H+RH* That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the square* of the radii of their bases. PROPOSITION III.— PROBLEM. 12. The volume of a cylinder is equal...
Full view - About this book

A Treatise on Elementary Geometry, with Appendices Containing a Collection ...

William Chauvenet - Geometry - 1879 - 380 pages
...total areas, of similar cones of revolution are to each other as the squares of their slant heights, or as the squares of their altitudes, or as the squares of the radii of tfieir bases. PROPOSITION VI.— THEOREM. 26. The lateral area of a frustum of a cone of revolution...
Full view - About this book

Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1882 - 434 pages
...R ' (JJ' + R') ~Tl' \Jj' + R' That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of...altitudes, or as the squares of the radii of their bases. 334 GEOMETRY BOOK VII. PROPOSITION XXX. THEOREM. 623. The volume of a cylinder is equal to the product...
Full view - About this book

Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 354 pages
...QED r J ' bxh v m3 h3 PROPOSITION XVII. 605. Theorem. — The convex surfaces of similar cylinders of revolution are to each other as the squares of their altitudes, and as the squares of the radii of their bases. DEMONSTRATION. Let H and / be the altitudes, and...
Full view - About this book




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