meaningless poop
>>
>> ___ : ___ can be the unit.
meaningless shit.
>>
>> When we talk about 1 without measure, we mean the ABSTRACT UNIT.
not "we",
you birdbrain, as you ARE an ABSTRACT UNIT.
>>
>>> And I am a little curious why you need using book 5 to show book 7?
>>
>> Book 5 defines magnitudes and ratios of magnitudes. A magnitude is just the same as a size but without a stated measure.
making stuff up, from your imagination, or is it from your confusion ?
>>
>> ** A MAGNITUDE IS THE IDEA OF SIZE, EXTENT OR DIMENSION **
wrong, wiki for it. your daffynition is silly.
>>
>> That is what Euclid meant even though he wrote a very circular definition.
wrong again.
>>
>>> These books are not connected.
>>
>> They are very much connected. In fact, it is no coincidence or accident that Book 5 comes before Book 7. It lays the foundations in terms of ratios of magnitudes.
they are chapters in your birdbrain, all a tweeter with confusion.
>>
>> ** A NUMBER DESCRIBES THE MEASURE OF A MAGNITUDE **
wrong, as usual.
>>
>>> Book 5 (magnitudes), while book 7 (numbers),
>>
>> So, in geometry we deal with MAGNITUDES and can perform all the arithmetic operations on ANY magnitude (except for 0 which is NO magnitude at all).
Wrong, in 3 ways.
>>
>> To refer to such magnitudes without the geometric objects (constructions, diagrams, etc), we need to give them **names**. The names are nothing more than the MEASURE of said magnitudes.
Wrong again. Google Measure.
>>
>> Book V is important because it leads to the definition of UNIT in Book V:
no, none of your book is important, it is a Troll book, and you give it
away for free because it is worthless.
>>
>> A unit is a chosen ratio of EQUAL magnitudes. i.e, _ : _ OR _____ : _____ or whatever other ratio of equal magnitudes you choose.
wrong again, a Unit is a unit of distance, unit of time, unit of viscosity,
you are way over your head on this, and it shows you never had basic
algebra.
>>
>> However, in Book V, we move away from a measured UNIT to an ABSTRACT UNIT from which the rational numbers are derived.
>>
units do not derive rational numbers, but your brain is like soup,
everything swimming around.
>>> KON
>