FREE BOOKS

Author's List




PREV.   NEXT  
|<   256   257   258   259   260   261   262   263   264   265   266   267   268   269   270   271   272   273   274   275   276   277   278   279   280  
281   282   283   284   285   286   287   288   289   290   291   292   293   294   295   296   297   298   299   300   301   302   303   304   305   >>   >|  
a Demonstration of Mr. _Rook_'s, in confutation of Mr. _Hobs_'s Duplication of the Cube. Which when he had repeated, _pag._ 43. He doth then (that it might seem absurd) change those words, _aequales {293} quatuor cubis_ DV; (_pag._ 43. _line_ 33.) into these (p. 44. l. 5.) _aequalia quatuor Lineis, nempe quadruplus Recta_ DV: And would thence perswade you, that Mr. _Rook_ had assigned a _Solide_, equal to a _Line_. But Mr. _Rook's_ Demonstration was clear enough without Mr. _Hobse's_ Comment. Nor do I know any Mathematician (unless you take _Mr. Hobs_ to be one) who thinks that _a Line multiplyed by a Number will make a Square_; (what ever _Mr. Hobs_ is pleased to teach us.) But, That _a Number multiplyed by a Number, may make a Square Number_; and, That _a Line drawn into a Line may make a Square Figure_, _Mr. Hobs_ (if he were, what he would be thought to be) might have known before now. Or, (if he had not before known it) he might have learned, (by what I shew him upon a like occasion, in my _Hob. Heaut._ _pag._ 142. 143. 144.) _How_ to understand that language, without an Absurdity. Just in the same manner he doth, in the next page, deal with _Clavius_, for having given us his words, pag. 45 l. 3. 4. _Dico hanc Lineam Perpendicularem extra circulum cadere_ (because neither _intra Circulum_, nor in _Peripherea_;) He doth, when he would shew an errour, first make one, by falsifying his word, _line_ 15. where instead of _Lineam Perpendicularem_, he substitutes _Punctum A._ As if _Euclide_ or _Clavius_ had denyed the _Point A._ (the utmost point of the _Radius_,) to be in the Circumference: Or, as if Mr. _Hobs_, by proving the _Point A._ to be in the Circumference, had thereby proved, that the _Perpendicular Tangent A E_ had also lyen in the Circumference of the Circle. But this is a Trade, which Mr. _Hobs_ doth drive so often, as if he were as well faulty in his _Morals_, as in his _Mathematicks_. The _Quadrature of a Circle_, which here he gives us, _Chap._ 20. 21. 23. is one of those _Twelve_ of his, which in my _Hobbius Heauton-timorumenus_ (from _pag._ 104. to _pag._ 119) are already confuted: And is the _Ninth_ in order (as I there rank them) which is particularly considered, _pag._ 106. 107. 108. I call it _One_, because he takes it so to be; though it might as well be called _Two_. For, as there, so here, it consisteth of _Two branches_, which are Both false; and each overthrow the other. For if the _Arch of
PREV.   NEXT  
|<   256   257   258   259   260   261   262   263   264   265   266   267   268   269   270   271   272   273   274   275   276   277   278   279   280  
281   282   283   284   285   286   287   288   289   290   291   292   293   294   295   296   297   298   299   300   301   302   303   304   305   >>   >|  



Top keywords:

Number

 

Square

 
Circumference
 

multiplyed

 

Circle

 
Perpendicularem
 

Demonstration

 

Lineam

 

Clavius

 

quatuor


Peripherea

 

Euclide

 
substitutes
 

Punctum

 
Perpendicular
 
Tangent
 
proved
 

proving

 

Radius

 

denyed


falsifying

 

utmost

 
errour
 

considered

 

overthrow

 

called

 
consisteth
 

branches

 

Circulum

 

Quadrature


faulty

 

Morals

 

Mathematicks

 

Twelve

 

confuted

 

Hobbius

 

Heauton

 
timorumenus
 

Solide

 

assigned


perswade

 

Comment

 
thinks
 
Mathematician
 

quadruplus

 

absurd

 

change

 
repeated
 

confutation

 

Duplication