This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Early English Books Online Text Creation Partnership. Searching, reading, printing, or downloading EEBO-TCP texts is reserved for the authorized users of these project partner institutions. Permission must be granted for subsequent distribution, in print or electronically, of this text, in whole or in part. Please contact project staff at eebotcp-info@umich.edu for further information or permissions.
IF of two equal Reasons the one is greater than a third, the other shall be so like∣wise.
| AB: | CD: | EF. |
Demonstration. Seeing there is a greater reason of A to B, than of E to F, A shall contain more times any aliquot part of B, than E contains a like aliquot part of F, (by the 6th. Definition.) Now C contains a like aliquot part of D, as ma∣ny times as A contains that of B, seeing there is the same reason of A to B, as of
C to D: so then C contains an aliquot part of D, more times than E contain∣eth a like aliquot part of F; thence there is a greater reason of C to D, than of E to F.