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<head><del>Observations</del> <add>Definitions</add> concerning</head> | |||
<note>DEFINIENDA</note> | |||
<note>Physical Point</note> | |||
<p>A Point may be physically <hi rend="underline">Indivisable</hi> for if the given<lb/> | |||
point is <del>not</del> divisable, divide still <del>you</del> as much as possible<lb/> | |||
and what remains must be and Indivisible point.<lb/> | |||
There certainly is <del>nothing</del> <add>no <del><gap/> <gap/>:</del> matter</add> so small but it can be supposed to be<lb/> | |||
divided, therefore there is no Metaphysical point, but<lb/> | |||
there <del>certainly</del> must be some bounds to Physical divisions<lb/> | |||
although <del><gap/></del> they may be indeterminate</p> | |||
<p><del>May not the</del></p> | |||
<note>Middle of a Line<lb/> | |||
or Point no<lb/> | |||
Material <sic>Architype</sic></note> | |||
<p>If there are no bounds to division may not the<lb/> | |||
middle of a <add>physical</add> line be what is meant by a Geometrical<lb/> | |||
line, I think when we may speak and treat of<lb/> | |||
the middle of a line without having any material<lb/> | |||
<sic>Architype</sic> in our mind.</p> | |||
<note>Definition of<lb/> | |||
Magnitude | |||
DEFINING<lb/> | |||
Geometrical<lb/> | |||
Definitions</note> | |||
<p><!-- This paragraph is crossed through -->A magnitude is anything that is susceptible of more<lb/> | |||
or less, Increase and decrease, whether line, superficies,<lb/> | |||
solid, line, Number &c. Augmentation or diminuation<lb/> | |||
Vid: Geometrical definitions in Murray's Shipbuilding</p> | |||
<note>DEFINIENDA</note> | |||
<note>Altitudinal Line<lb/> | |||
of a Triangle</note> | |||
<p><del>By altitudinal <add>The altitude of any</add> line is meant, a line drawn from</del></p> | |||
<p>The altitudinal line of a Triangle is a lin drawn from<lb/> | |||
any angle of it <del>to</del> either square to the boundary subtending<lb/> | |||
that angle or to such boundary produced.</p> | |||
<note>of a Parallelogram</note> | |||
<p>The altitudinal line of a Parallelogram is a line drawn<lb/> | |||
from <hi rend="underline">any part</hi> of <del>one</del> <add>either</add> boundary to <gap/> to the opposite one<lb/> | |||
itself or to such produced.<add>[+]</add><note>The length of this<lb/>Line determines the<lb/>Altitude of a figure</note> I say from <hi rend="underline">any part</hi><lb/> | |||
of either boundary to the opposite because all lines drawn<lb/> | |||
square from or making equal angles with parallel<lb/> | |||
lines are equal <add>+</add><note><del>New Prop.</del></note> <del>All lines drawn from one line to<lb/> | |||
another which is parallel to it if they make equal angles are<lb/>equal.</del></p> | |||
<note>Parallel<lb/> | |||
Def: of.</note> | |||
<p>Parallel <del>lines are</del> <add>is a</add> relative term, for one line cannot<lb/> be parallel but with respect to another but when<lb/> associated, compared with another.</p> | |||
Observations Definitions concerning
DEFINIENDA Physical Point
A Point may be physically Indivisable for if the given
point is not divisable, divide still you as much as possible
and what remains must be and Indivisible point.
There certainly is nothing no : matter so small but it can be supposed to be
divided, therefore there is no Metaphysical point, but
there certainly must be some bounds to Physical divisions
although they may be indeterminate
May not the
Middle of a Line
or Point no
Material Architype
If there are no bounds to division may not the
middle of a physical line be what is meant by a Geometrical
line, I think when we may speak and treat of
the middle of a line without having any material
Architype in our mind.
Definition of
Magnitude
DEFINING
Geometrical
Definitions
A magnitude is anything that is susceptible of more
or less, Increase and decrease, whether line, superficies,
solid, line, Number &c. Augmentation or diminuation
Vid: Geometrical definitions in Murray's Shipbuilding
DEFINIENDA
Altitudinal Line
of a Triangle
By altitudinal The altitude of any line is meant, a line drawn from
The altitudinal line of a Triangle is a lin drawn from
any angle of it to either square to the boundary subtending
that angle or to such boundary produced.
of a Parallelogram
The altitudinal line of a Parallelogram is a line drawn
from any part of one either boundary to to the opposite one
itself or to such produced.[+]The length of this
Line determines the
Altitude of a figure I say from any part
of either boundary to the opposite because all lines drawn
square from or making equal angles with parallel
lines are equal +New Prop. All lines drawn from one line to
another which is parallel to it if they make equal angles are
equal.
Parallel
Def: of.
Parallel lines are is a relative term, for one line cannot
be parallel but with respect to another but when
associated, compared with another.
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[[watermarks::gr [with crown] [britannia motif]]] |
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