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25S Mathematical Lectures. Lect. XIV.
fifth Book of his Conies* names the Right Line intercepted between the Vertex and Point in the Diameter affigned, a Meafure ; becaufe there occurs
none fimpler, or greater, for determining the Quantity of the other Branches. The fame Way, becaufe among Superficies a plane one is molt fimple and uniform, and among right lined Figures
the Square is the fimpleft and eafieft known ; therefore a Square is ufually called and accounted the
Meafure of fuperficial Figures, and their Quantities
are referred to this, as far as it may be done.
And the fame Reafon holds of a Cube in Solids,
to which the Quantities of other Solids are reduced,
becaufe of its manifeit Determination, and the eafily
conceivable Property of its Nature. A right
Angle alfo obtains the Place of a received Mea- \
fure in rectilineal Angles, becaufe it is in fome Degree more known than others, obtains a peculiar
Name, and feems to include a more fimple Relation of the infifting Line to that upon which it
ftands. So laftly Geometricians endeavour to reduce all curved and cosnpound Lines to a Right
Line, which is the fimpleft of all Lines, and determine their Quantities from fome Relation which
they obtain to this. And the fame Method is ob-
ferved in other Quantities: For becaufe the diurnal
Revolution of the Heavens, or (according to the
more received Hypothefis in our Times) of the
Earth is the moft conftant, uniform, and known
of all Motions ; therefore it is affumed and ufed
for the Meafiure of other Motions, Times, and
Velocities. And the Quantities of other Weights
are by the Mailers of Statics reduced to the Quantity of Gold as the heavieft Body, or of Oyl as
the lightest. And in every other kind of Quantity, for Convenience fakfe, fuch an one is always
required for a Meafiure, as is remarkable for its
Simplicity or Mobility.
But
| 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 258. |
| Format | tiff |
| Identifier | 1135_296 |
| 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 | 25S Mathematical Lectures. Lect. XIV. fifth Book of his Conies* names the Right Line intercepted between the Vertex and Point in the Diameter affigned, a Meafure ; becaufe there occurs none fimpler, or greater, for determining the Quantity of the other Branches. The fame Way, becaufe among Superficies a plane one is molt fimple and uniform, and among right lined Figures the Square is the fimpleft and eafieft known ; therefore a Square is ufually called and accounted the Meafure of fuperficial Figures, and their Quantities are referred to this, as far as it may be done. And the fame Reafon holds of a Cube in Solids, to which the Quantities of other Solids are reduced, becaufe of its manifeit Determination, and the eafily conceivable Property of its Nature. A right Angle alfo obtains the Place of a received Mea- \ fure in rectilineal Angles, becaufe it is in fome Degree more known than others, obtains a peculiar Name, and feems to include a more fimple Relation of the infifting Line to that upon which it ftands. So laftly Geometricians endeavour to reduce all curved and cosnpound Lines to a Right Line, which is the fimpleft of all Lines, and determine their Quantities from fome Relation which they obtain to this. And the fame Method is ob- ferved in other Quantities: For becaufe the diurnal Revolution of the Heavens, or (according to the more received Hypothefis in our Times) of the Earth is the moft conftant, uniform, and known of all Motions ; therefore it is affumed and ufed for the Meafiure of other Motions, Times, and Velocities. And the Quantities of other Weights are by the Mailers of Statics reduced to the Quantity of Gold as the heavieft Body, or of Oyl as the lightest. And in every other kind of Quantity, for Convenience fakfe, fuch an one is always required for a Meafiure, as is remarkable for its Simplicity or Mobility. But |
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