Search Images Maps Play YouTube News Gmail Drive More »
 Books Books
SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have...
An essay on mechanical geometry, explanatory of a set of models - Page 42
by Benjamin Donne - 1796

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...cylinders of the same altitude are to one another as their bases. QED PROPOSITION XII. THEOREM. Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. Let the cones and cylinders of which the bases are the circles ABCD, EFGH, and the diameters...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...cylinders upon them of the same altitude. Cones and cylinders, therefore, &c. PROP. XII. THEOR. — Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. If there be similar cones and cylinders of which the hases are the circles ABCD, EFGH ;...

## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...THEOREM. Cones and cylinders of the same altitude are to one another as their PROP. XII. THEOREM. Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. PROP. XIII. THEOREM. If a cylinder be cut by a plane parallel to its opposite planes, or...

## The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...upon them of the same altitude. PROPOSITION XII. THEOREM.—If cones and cylinders are similar, they have to one another, the triplicate ratio of that which the diameters of their bases have. DEMONSTRATION. Let the cones and cylinders of which the bases are the circles ABCD, EFGH,...

## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...altitude are to one another as their bases. QED PROP. XII. THEOREM. Similar cones and cylinders ham to one another the triplicate ratio of that which the diameters of their bases have. Let the conts and cylinders of which the circles AB СD and EFGH are the bases, A С and...

## The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pages
...them of the' same altitude. PROPOSITION XII. THEOBEM. — If cones and cylinders are similar, they have to one another, the triplicate ratio of that which the diameters of their bases have. DEMONSTRATION. Let the cones and cylinders of which the bases are the circles ABCD, EFGH,...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...cylinders of the same altitude are to one another as their \ases. PROPOSITION XII. THEOREM. Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. PROPOSITION XIII. THEOREM. If a cylinder be cot by a plane parallel to its opposite planes,...