Difference between revisions of ".Mzcw.NzE1Ng"
(Created page with "(1) XI. Of Proportion note A6. /note") |
|||
| Line 2: | Line 2: | ||
XI. Of Proportion | XI. Of Proportion | ||
| − | [[note]] A6. [[/note | + | [[note]] A6. [[/note]] When ^ [[addition]] we [[/addition]] compare two quantities, we may consider |
| + | [[note]] 10. [[/note]] either how much the one exceeds or is exceeded | ||
| + | by the other or 20. how often the one contains, | ||
| + | or is contained in the other. For instance, if | ||
| + | the numbers 4 & 12 [[unclear]] to be compared, I might | ||
| + | [[note]] 10. [[/note]] barely consider that 12 exceeds 4 by 8; or | ||
| + | [[note]] 20. [[/note]] I might consider that 12 contains 4 three | ||
| + | times. From the first consideration arrises | ||
| + | the notion of [[underline]] Arithmetical ratio [[/underline]] & from | ||
| + | the second arises the notion of [[underline]] Geometrical | ||
| + | ratio [[/underline]] or what is simply called [[underline]] ratio [[/underline]] by | ||
| + | Mathematicians; because arithmetical ratio | ||
| + | is better expressed by the word [[underline]] difference. [[/underline]] | ||
| + | In general if there be two quanties a & b, | ||
| + | their arithmetical ratio or difference | ||
| + | will be expressed by a-b or b-a; & their Geo | ||
Latest revision as of 19:28, 8 August 2018
(1) XI. Of Proportion
note A6. /note When ^ addition we /addition compare two quantities, we may consider note 10. /note either how much the one exceeds or is exceeded by the other or 20. how often the one contains, or is contained in the other. For instance, if the numbers 4 & 12 unclear to be compared, I might note 10. /note barely consider that 12 exceeds 4 by 8; or note 20. /note I might consider that 12 contains 4 three times. From the first consideration arrises the notion of underline Arithmetical ratio /underline & from the second arises the notion of underline Geometrical ratio /underline or what is simply called underline ratio /underline by Mathematicians; because arithmetical ratio is better expressed by the word underline difference. /underline In general if there be two quanties a & b, their arithmetical ratio or difference will be expressed by a-b or b-a; & their Geo
