| 1 2 3 4 5 6 7 { A cylinder | 1 | : : : : : : { +----+ : : : : : : { A cone |1/3 | : : : : : : { +----+----+ : : : : : { A three-sided fig. of 1 mean |2/4 | | : : : : : { +----|----+ : : : : : The { A three-sided fig. of 2 means |3/5 |3/7 | : : : : : solids{ +----+----+----+----+ : : : of { A three-sided fig. of 3 means |4/6 |4/8 |4/10| | : : : { +----+----+----+----+----+ : : { A three-sided fig. of 4 means |5/7 |5/9 |5/11|5/13| | : : { +----+----+----+----+----+----+ : { A three-sided fig. of 5 means |6/8 |6/10|6/12|6/14|6/16| | : { +----+----+----+----+----+----+----| { A three-sided fig. of 6 means |7/9 |7/11|7/13|7/15|7/17|7/19| | { +----+----+----+----+----+----+----+ { A three-sided fig. of 7 means |8/10|8/12|8/14|8/16|8/18|8/20|8/22| +----+----+----+----+----+----+----+ [Sidenote: In what proportion the same figures exceed a cone of the same altitude and base.] 8. Lastly, the excess of the solids of the said three-sided figures above a cone of the same altitude and base, are set down in the table which follows: 1 2 3 4 5 6 7 The Cone | 1 : : : : : : : +-----+ {Of the solid of a three-}| 6/12| : : : : : : { sided figure of 1 mean}| | The ex- { +-----+-----+ cesses {Ditto ditto, 2 means |12/15| 6/21| : : : : : of the { +-----+-----+-----+ solids {Ditto ditto, 3 means |18/18|12/24| 6/30| : : : : of these{ +-----+-----+-----+-----+ three- {Ditto ditto, 4 means |24/21|18/27|12/33| 6/39| : : : sided { +-----+-----+-----+-----+-----+ figures {Ditto ditto, 5 means |30/24|24/30|18/36|12/42| 6/48| : : above a { +-----+-----+-----+-----+-----+-----+ cone. {Ditto ditto, 6 means |36/27|30/33|24/39|18/45|12/51| 6/57| : { +-----+-----+-----+-----+-----+-----+-----+ {Ditto ditto, 7 means |42/30|36/36|30/42|24/48|18/54|12/60| 6/66| +-----+-----+-----+-----+-----+-----+-----+