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yb Mathematical Lectures. Lect.V.
capable of a real Exiftence •, and there is no need
of a long Day to teach, but one only Difcovery
of Senfe will abundantly evince, that all Mathematical Hypothefes are poffible, that Magnitudes
can be compofed, divided, moved, fill Space, &c.
And here by the Way we may take notice of
their Opinion who will have Mathematical Figures
to have no other Exiftence in the Nature of Things
than in the Mind alone. And it is wonderful to
me that this Opinion fhould be embraced by Per-
fons, who are otherwife molt excellently fkilled in
the Mathematics: Among whom we may reckon
(/) Blancanus, whofe Words are thefe ; Though
Mathematical Beings have no real Exiftence, yet
becaufe their Ideas do exift both in the Divine and
Human Mind* as the moft exabl Types of Things*
therefore the Mathematician treats of thofe Ideas
which of themfelves are primarily intended, and are
true Beings. And of the fime Sentiment is (m) Vofi-
fiius. There is not any Sphere (fays he) in the Nature of Things that only touches in a Point; for it
always with fome Part of its Superfice touches the
fiubjecled Plane in a Line, as (n) Ariftotle jhews
Protagoras to have objected againft the Geometricians. Which Sentiment notwithstanding is abfo-
lutely falfe, and eafy to be refuted from the foregoing Difcurfus, and what is moft oppofste to it
feems, in my Opinion, to be moft true ; viz.
That all imaginable Geometrical Figures are really
inherent in every Particle of Matter, I fay really
inherent in Fact and to the utmoft Perfection,
though not apparent to the Senfe •, juft as the Effigies of Ccefiar lies hid under the unhewn Marble,
and is no new Thing made by the Statuary, but
only is difcovered and brought to Sight by his
Lect.
(I) Libro de Natura Mathem. p
de Mathem. p. 4
(n) I. Metaph. cap. 2.
(m) VoiTius
Work-
| 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 76. |
| Format | tiff |
| Identifier | 1135_114 |
| 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 | yb Mathematical Lectures. Lect.V. capable of a real Exiftence •, and there is no need of a long Day to teach, but one only Difcovery of Senfe will abundantly evince, that all Mathematical Hypothefes are poffible, that Magnitudes can be compofed, divided, moved, fill Space, &c. And here by the Way we may take notice of their Opinion who will have Mathematical Figures to have no other Exiftence in the Nature of Things than in the Mind alone. And it is wonderful to me that this Opinion fhould be embraced by Per- fons, who are otherwife molt excellently fkilled in the Mathematics: Among whom we may reckon (/) Blancanus, whofe Words are thefe ; Though Mathematical Beings have no real Exiftence, yet becaufe their Ideas do exift both in the Divine and Human Mind* as the moft exabl Types of Things* therefore the Mathematician treats of thofe Ideas which of themfelves are primarily intended, and are true Beings. And of the fime Sentiment is (m) Vofi- fiius. There is not any Sphere (fays he) in the Nature of Things that only touches in a Point; for it always with fome Part of its Superfice touches the fiubjecled Plane in a Line, as (n) Ariftotle jhews Protagoras to have objected againft the Geometricians. Which Sentiment notwithstanding is abfo- lutely falfe, and eafy to be refuted from the foregoing Difcurfus, and what is moft oppofste to it feems, in my Opinion, to be moft true ; viz. That all imaginable Geometrical Figures are really inherent in every Particle of Matter, I fay really inherent in Fact and to the utmoft Perfection, though not apparent to the Senfe •, juft as the Effigies of Ccefiar lies hid under the unhewn Marble, and is no new Thing made by the Statuary, but only is difcovered and brought to Sight by his Lect. (I) Libro de Natura Mathem. p de Mathem. p. 4 (n) I. Metaph. cap. 2. (m) VoiTius Work- |
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