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# JB/135/022/002

Completed

Memoranda

Cor. concerning
the angles of Triangles
DEMONSTRAN

Let there be a Corrollary to some Prop. Declaring that
a Triangle cannot have more than one obtuse angle,
also that a Triangle cannot have more than one right
angle from which it will follow that every Triangle
must have 2 acute angles. These may be given for
the reason for calling those Triangles that have, one
right angle right angled, those that have one obtuse,
obtuse angled and those that have three acute,
acute angled.

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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 square any square angled Figure be produced the exteriour angles which they
the produced parts make with each other shall be right angles.

Demonstranda

New Prop.

A Figure must have as many sides as it has angles and
vice versa

Description
Method of

In 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
Defin: of.

Oblique Triangles are such as have no right angle
the species of these are acute orand obtuse.
N3 equilateral Triangles need be acute.

More regular
right lined Figures

Many other right lined figures may be called
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 &c a species of parallelogram.

Identifier: | JB/135/022/002
"JB/" can not be assigned to a declared number type with value 135.

not numbered

135

022

memoranda

002

private material

2

recto

sir samuel bentham

[[watermarks::gr [with crown] [britannia motif]]]

46140