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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

## 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...

## 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&...

## 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...

## 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...

## 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...

## 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...

## 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...

## 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...