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" 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 - Σελίδα 40
των Benjamin Donne - 1796
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...and cylinders of the f.ime altitude, are to one another as their bafcs. D. PROP. XII. THE OR. OIMILAR cones and cylinders have to one another the *'****...of that which the diameters of their bafes ha.ve. Let the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of the...

Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - 1769 - 536 σελίδες
...1. в . " PROPOSITION XII. THEOREM 311. OIMILAR cones (BFE & LOM), and cylinders (B ak E & L с d M) have to one another the triplicate ratio of that which the diameters (CD & IH) of their baies (BYDEP &c LTHMR), have. Hypothec«. Thefis. fíe ernes BFE W LOM, liiewife...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...another as their bafes. Q^ED PROP. XII. THEO R. MILAR cones and cylinders have to ofle another s«N, the triplicate ratio of that which the diameters of their bafes have. .tJUtA the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...as their bafes. Q..ED PRO P. XII. TH, EO R. SIMILAR cones and cylinders have to one another See N. the triplicate ratio of that which the diameters of their bafes have.' Let the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of the...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...another as their bafes. Q ED PROP. XII. THEOR. SIMILAR cones and cylinders have to one another ?ee N. the triplicate ratio of that which the diameters of their bafes have. Let the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of the...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...and cylinders of the same altitude are to one another as their bases. QED PROP. XII. THEOR. 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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...Cones and cylinders of the same altitude, are to one another as their bases. Prop. XII. Theor. Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. Prop. XIII. Theor. If a cylinder be cut by a plane parallel to its opposite planes, or...

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

Euclid, James Thomson - 1837 - 410 σελίδες
...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 bases are the circles ABCD, EFGH;...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...and cylinders of the same altitude are to one another as their bases. QED PROP. XII. THEOR. 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 Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...and cylinders of the same altitude are to one another as their bases. QED PROP. XII. THEOR. 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 arc the circles ABCD, EFGH, and the diameters...




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