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<p>must be sufficiently great when it comes<lb/> | <p>must be sufficiently great when it comes<lb/> | ||
up to the Accuracy with which we can<lb/> | up to the Accuracy with which we can<lb/> | ||
conceive it the measure of it and describe<lb/> | conceive <del>it</del> the measure of <del>it</del> and describe<lb/> | ||
it in mixt Mathematics.</p> | it in mixt Mathematics.</p> | ||
—<lb/> | —<lb/> | ||
<p>Axioms, <sic>deffinitions</sic>, <sic>Postilates</sic> and demonstrated <note>New Deffin:</note><lb/> | <p>Axioms, <sic>deffinitions</sic>, <sic>Postilates</sic> and demonstrated <note>New Deffin:</note><lb/> | ||
previous Propositions, may be stiled with respect<lb/> | previous Propositions, may be <sic>stiled</sic> with respect<lb/> | ||
to a Prop to be demonstrated by them<lb/> | to a Prop to be demonstrated by them,<lb/> | ||
<hi rend="underline">Media of Proof</hi> This is a general name</p> | <hi rend="underline">Media of Proof</hi> This is a general name</p> | ||
| Line 23: | Line 23: | ||
from the Ideas<lb/> | from the Ideas<lb/> | ||
of Figure</note><lb/> | of Figure</note><lb/> | ||
<del> | <del>Produc</del> numerical language the <hi rend="underline">Product</hi><lb/> | ||
of 2 | of 2 numbers. so the square of a number<lb/> | ||
might be stiled the product of that number<lb/> | might be stiled the product of that number<lb/> | ||
for product implies multiplication and as no<lb/> | for product implies multiplication and as no<lb/> | ||
| Line 30: | Line 30: | ||
the number in question is to serve as multiplier<lb/> | the number in question is to serve as multiplier<lb/> | ||
and multiplicand. so in the same manner<lb/> | and multiplicand. so in the same manner<lb/> | ||
the | the <unclear>Cube</unclear> may be stiled the duplicate product<lb/> | ||
and so in triplicate Quadruplicate &c.<lb/> | and so in triplicate Quadruplicate &c.<lb/> | ||
But if it should be found more < | But if it should be found more <sic>usefull</sic> to<lb/> | ||
<del>keep</del><add>borrow</add> the terms Square of | <del>keep</del><add>borrow</add> the terms Square of Cube of &c<lb/> | ||
from Geometrical figures, it may also<lb/> | from Geometrical figures, it may also<lb/> | ||
for the sake of analogy in the root be<lb/> | for the sake of analogy in the root be<lb/> | ||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
GEOMETRY
must be sufficiently great when it comes
up to the Accuracy with which we can
conceive it the measure of it and describe
it in mixt Mathematics.
—
Axioms, deffinitions, Postilates and demonstrated New Deffin:
previous Propositions, may be stiled with respect
to a Prop to be demonstrated by them,
Media of Proof This is a general name
The Rectangle of 2 numbers is the in Numerical
Terms
borrowed
from the Ideas
of Figure
Produc numerical language the Product
of 2 numbers. so the square of a number
might be stiled the product of that number
for product implies multiplication and as no
other number is expressed it would follow that
the number in question is to serve as multiplier
and multiplicand. so in the same manner
the Cube may be stiled the duplicate product
and so in triplicate Quadruplicate &c.
But if it should be found more usefull to
keepborrow the terms Square of Cube of &c
from Geometrical figures, it may also
for the sake of analogy in the root be
better also to borrow rectangle, and if
so one may also borrow Circumference
and diagonal, as for example the diagonal
of the Square of 20 bears the same
proportion to 20 as the Diagonal of the Square
0f 30 does to 30. These Terms may be convenient: an why not use them?
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Identifier: | JB/135/061/004"JB/" can not be assigned to a declared number type with value 135. |
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135 |
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061 |
geometry |
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004 |
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copy/fair copy sheet |
4 |
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recto |
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sir samuel bentham |
[[watermarks::gr [with crown] [britannia motif]]] |
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46179 |
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