Some considerations rising vpon the 23 p. of |
Archimedes de Quadratura parabolis & the 17 & 18 chap. of |
viaetus his responsa. pa. 29. ||
If there be nombers in subduple proportion infinitely to find out |
there summe. ||
as. $8\cdot4\cdot2\cdot1\cdot\frac{1}{2}\cdot\frac{1}{4}\cdot\frac{1}{8}\cdot\frac{1}{16}\space\&c.$||
The first dubled is the summe. that is in this example, 8. dubled is is $16$
In this <kinde of> progression if the nomber of places be finite. the summe is found |
thus. also . duble the first as here. $8$. which maketh $16$. from it subtracte the |
last & the remayne wilbe the somme. for alwayes the <somme> last doth lacke of |
the double of the first by his somme <the> quantyty of the last. or |