The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)Hobbes, Thomas
Philosophy
The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Hobbes, Thomas
Philosophy, English -- 17th century
1 2 3 4 5 6 7
The triangle | 1 : : : : : :
+---+
{A three-sided fig. of 1 mean |1/3| : : : : : :
{ +---+----+
{A three-sided fig. of 2 means|2/4| 1/5| : : : : :
{ +---+----+----+
The {A three-sided fig. of 3 means|3/5| 2/6| 1/7| : : : :
{ +---+----+----+----+
excess{A three-sided fig. of 4 means|4/6| 3/7| 2/8| 1/9| : : :
{ +---+----+----+----+----+
of {A three-sided fig. of 5 means|5/7| 4/8| 3/9|2/10|1/11| : :
{ +---+----+----+----+----+----+
{A three-sided fig. of 6 means|6/8| 5/9|4/10|3/11|2/12|1/13| :
{ +---+----+----+----+----+----+----+
{A three-sided fig. of 7 means|7/9|6/10|5/11|4/12|3/13|2/14|1/15|
+---+----+----+----+----+----+----+
[Sidenote: A table of solid deficient figures described in a cylinder.]
7. In the next table are set down the proportion of a cone and the
solids of the said three-sided figures, namely, the proportions between
them and a cylinder. As for example, in the concourse of the second
column with the three-sided figures of four means, you have 5⁄9; which
gives you to understand, that the solid of the second three-sided figure
of four means is to the cylinder as 5⁄9 to 1, or as 5 to 9.
Public-domain text, read in full here on John Shaqi.
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