* 1.1Proportion composed, or composition of proportion is, when the antecedent and the consequent are both as one compared vnto the consequent.
Suppose that in the former foure
[illustration]
The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed
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- Title
- The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed
- Author
- Euclid.
- Publication
- Imprinted at London :: By Iohn Daye,
- [1570 (3 Feb.]]
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- Subject terms
- Geometry -- Early works to 1800.
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http://name.umdl.umich.edu/A00429.0001.001
- Cite this Item
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"The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A00429.0001.001. University of Michigan Library Digital Collections. Accessed June 7, 2024.
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magnituds in proportiō, A, B, C, D, as A is to B, so is C to D:* 1.2 if ye adde A and B the antecedent and the consequent of the first proportion together, and compare them so added as one antecedent to B the consequent of the first proportion as to hys consequent: and likewise if ye adde together
Page 134
C and D the antecedent and the consequent of the second proportion, and so ad∣ded, compare them as one antecedent to D the consequent of the second propor∣tion, as to his consequent: then shall ye haue the magnitudes in this order. As AB to B, so CD to D, for either of them is tripla. And this is called composed propor∣tion, or composition of proportion. And so also in numbers.* 1.3 As 8. to 4, so 6. to 3: 8. and 4, the antecedent and consequen•• of the first pro∣portion
[illustration]
Notes
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* 1.1
The fourtenth definition.
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* 1.2
Example of this definition in magnituds.
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* 1.3
Example in numbers.