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<p><note><!-- Red Ink -->Demonstranda</note> A Figure must have as many sides as it has angles and<lb/> | <p><note><!-- Red Ink -->Demonstranda</note> A Figure must have as many sides as it has angles and<lb/> | ||
<note>New Prop.</note> vice versa</p> | <note>New Prop.</note> vice versa</p> | ||
<p> <note>Description<lb/> | |||
Method of</note> For description of species of Figures first state the<lb/> | |||
several <del>diff</del> <gap/> that can happen determining<lb/> | |||
the species and then give names to each.</p> | |||
<p><note> Synonimous terms<lb/> | |||
enumerated</note> When a Term is defined write all those that are synonimous<lb/> | |||
which are used by any Geometrician.</p> | |||
<note><!-- Red ink -->Definienda</note><lb/> | |||
<p>Oblique Triangles are such as have no right angle<lb/> | |||
<note>Oblique Triangles<lb/> | |||
Defin: of.</note> the species of these are acute <del>or</del><add>and</add> obtuse.<lb/> | |||
<unclear>A3</unclear> equilateral Triangles need be acute</p> | |||
<p>Many other right lined figures may called<lb/> | |||
<note>More regular<lb/> | |||
right hand Figures</note> regular besides those mentioned by Euclid<lb/> | |||
for example the opposite boundaries of a trapezium<lb/> | |||
may be equal and yet not parallel<lb/> | |||
<del>but</del><add>and</add> in such figures the angles [ ] at the correspondent<lb/> | |||
ends of opposite boundaries may be equal or &c.<lb/> | |||
<note>Trapezium<lb/> | |||
Genus<lb/> | |||
Parallelogram<lb/> | |||
Species.</note> Trapezium should be the highest Genus of all<lb/> | |||
four sided figures Parallelogram a Species<lb/> | |||
rectangle rhombus for a species of parallelogram.</p><pb/> | |||
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Let there be a Corrollary to some Prop. Declaring that Cor. concerning
the angles of Triangles
a Triangle cannot have more than one obtuse angle,
also that a Triangle cannot have more than one right DEMONSTRAN
angle from which it will follow that every Triangle
must have 2 acute angles. These may be given for
the reason for calling these Triangle that have, one
right angle right angled, those that have one obtuse,
obtuse angled and those that have three acute,
acute angled.
---page break---
Description vice
Definition. Where a definition can not be had we must be content
with a description.
Demonstranda
Cor. concerning
the exteriour angles
of a Square. If the sides of a squareany square angled Figure be produced the exteriour angles which they
the produced parts make with each other shall be right angles.
Demonstranda A Figure must have as many sides as it has angles and
New Prop. vice versa
Description
Method of For description of species of Figures first state the
several diff that can happen determining
the species and then give names to each.
Synonimous terms
enumerated When a Term is defined write all those that are synonimous
which are used by any Geometrician.
Definienda
Oblique Triangles are such as have no right angle
Oblique Triangles
Defin: of. the species of these are acute orand obtuse.
A3 equilateral Triangles need be acute
Many other right lined figures may called
More regular
right hand Figures regular besides those mentioned by Euclid
for example the opposite boundaries of a trapezium
may be equal and yet not parallel
butand in such figures the angles [ ] at the correspondent
ends of opposite boundaries may be equal or &c.
Trapezium
Genus
Parallelogram
Species. Trapezium should be the highest Genus of all
four sided figures Parallelogram a Species
rectangle rhombus for a species of parallelogram.
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Identifier: | JB/135/022/002"JB/" can not be assigned to a declared number type with value 135. |
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sir samuel bentham |
[[watermarks::gr [with crown] [britannia motif]]] |
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