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i8o
Mathematical Lectures. Lect.X.
out of the Way, and at the fame Time to imagine
the fame Things as exifting are direct Contradictions. It follows then that Space is rather the Idea
of Things as poffible. But, he fays, No Body
afifii ms that there is Space, for that Reafon becaufe
it is occupied* but becaufe it can be occupied: Where
he differs not from the Truth, but from himfelf:
For Space by Occupation ceafes in fome fort to
be Space, as far as Power is extinguifhed by Act,
and a Thing ceafes to be farther poffible which
already exifts: Nor is it improperly fpoke by the
Vulgar, that Nothing can be poured into a full Veffel*
hut the Want of Space.
But I know not what bewitching Siren has drawn
me upon her Rocks, and held me entangled in
her Nets, while I am doing what in me lies to
avoid them. This out of the way Philofophy has
put a stop to my Courfe, while I am failing with
all my Speed to the principal Port of the Mathematics. That I may therefore finifli this Digref-
fion concerning Space (indeed too prolix and fpa-
cicus), and circutnfcribe it as a Figure within
Bounds, I will only remark one Thing more conducing to my Purpofe •, viz. that whatfoever natural Philofophers do determine, this Method of
conceiving Space* which I have been defcribing, is
molt agreeable, and abundantly fufficient for Geometricians : If any Thing more can be difcovered
in it, or attributed to it, it will no where make
againft them •, but they require no more than to
have fuch an Interval granted, whereby the Figures of Magnitudes and their Properties may
continue fafe, that they may not be confounded or
perverted by a poffible Annihilation or Remotion.
Ex. gr. If two Circles or two Spheres do touch
one another, and any two Points without the
Contact be taken, as above, in the Circumference
of a Circle, or the Superfice of a Sphere, then
Geometry
| Title | Usefulness of mathematical learning explained and demonstrated. |
| Alternative Title | The usefulness of mathematical learning explained and demonstrated, being mathematical lectures read in the publick schools at the University of Cambridge, by Isaac Barrow... To which is prefixed the oratorical preface of our learned author, spoke before the university on his being elected Lucasian professor of mathematics. Tr. by the Revd. Mr. John Kirkby. |
| Reference Title | Barrow, Isaac, 1734, Usefulness of mathematical learning. |
| Creator | Barrow, Isaac, 1630-1677 |
| Subject | Mathematics -- Philosophy |
| Publisher | London, S. Austen. |
| DateOriginal | 1734 |
| Format | JP2 |
| Extent | 31 cm. |
| Identifier | 1135 |
| Call Number | QA7.B3 1734 |
| Language | English |
| Collection | History of Mathematics |
| Rights | http://www.lindahall.org/imagerepro/ |
| Data contributor | Linda Hall Library, LHL Digital Collections. |
| Type | Image |
| Title | Page 180. |
| Format | tiff |
| Identifier | 1135_218 |
| Relation-Is part of | Is part of : The usefulness of mathematical learning explained and demonstrated, being mathematical lectures read in the publick schools at the University of Cambridge, by Isaac Barrow... To which is prefixed the oratorical preface of our learned author, spoke before the university on his being elected Lucasian professor of mathematics. Tr. by the Revd. Mr. John Kirkby. |
| Rights | http://www.lindahall.org/imagerepro/ |
| Type | Image |
| OCR transcript | i8o Mathematical Lectures. Lect.X. out of the Way, and at the fame Time to imagine the fame Things as exifting are direct Contradictions. It follows then that Space is rather the Idea of Things as poffible. But, he fays, No Body afifii ms that there is Space, for that Reafon becaufe it is occupied* but becaufe it can be occupied: Where he differs not from the Truth, but from himfelf: For Space by Occupation ceafes in fome fort to be Space, as far as Power is extinguifhed by Act, and a Thing ceafes to be farther poffible which already exifts: Nor is it improperly fpoke by the Vulgar, that Nothing can be poured into a full Veffel* hut the Want of Space. But I know not what bewitching Siren has drawn me upon her Rocks, and held me entangled in her Nets, while I am doing what in me lies to avoid them. This out of the way Philofophy has put a stop to my Courfe, while I am failing with all my Speed to the principal Port of the Mathematics. That I may therefore finifli this Digref- fion concerning Space (indeed too prolix and fpa- cicus), and circutnfcribe it as a Figure within Bounds, I will only remark one Thing more conducing to my Purpofe •, viz. that whatfoever natural Philofophers do determine, this Method of conceiving Space* which I have been defcribing, is molt agreeable, and abundantly fufficient for Geometricians : If any Thing more can be difcovered in it, or attributed to it, it will no where make againft them •, but they require no more than to have fuch an Interval granted, whereby the Figures of Magnitudes and their Properties may continue fafe, that they may not be confounded or perverted by a poffible Annihilation or Remotion. Ex. gr. If two Circles or two Spheres do touch one another, and any two Points without the Contact be taken, as above, in the Circumference of a Circle, or the Superfice of a Sphere, then Geometry |
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