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<p>Ch. Means, Instruments, <lb/>causes, sources <lb/>Foundations of knowledge <lb/>on the subject <lb/>of quantity —<lb/>N.B. as on any other <lb/>subject.</p><p>1. Experience.</p> <p>2. Observation.</p> <p>3. Experiment.</p><p>Their agreements and <lb/>differences</p> <p><hi rend="underline">Sums</hi> employed on those <lb/>several operations</p> <p>Ch. Operations by <lb/>means of which our <lb/>knowledge of the subject <lb/>of quantity is <lb/>obtained</p> <p>1. Denomination</p> <p>2 <del>Definition</del> or<lb/> Exposition m<gap/><lb/> Definition</p> <p>3. Assumption <lb/>(Axioms)</p> <p>4. Postulation.</p> <p>Ch.1 Of Denomination <lb/>Principle in regard to <lb/>denomination</p> <p>1. Aids to conception <lb/>and retention in regard <lb/>to Denomination.</p> <p>1. As to the objects individually <lb/>considered</p> <p>2. As to the groups of <lb/>objects considered in relation <lb/>to each other <add>one another</add> — <lb/>analogy.</p><pb/> | <p>Ch. Means, Instruments, <lb/>causes, sources <lb/>Foundations of knowledge <lb/>on the subject <lb/>of quantity —<lb/>N.B. as on any other <lb/>subject.</p><p>1. Experience.</p> <p>2. Observation.</p> <p>3. Experiment.</p><p>Their agreements and <lb/>differences</p> <p><hi rend="underline">Sums</hi> employed on those <lb/>several operations</p> <p>Ch. Operations by <lb/>means of which our <lb/>knowledge of the subject <lb/>of quantity is <lb/>obtained</p> <p>1. Denomination</p> <p>2 <del>Definition</del> or<lb/> Exposition m<gap/><lb/> Definition</p> <p>3. Assumption <lb/>(Axioms)</p> <p>4. Postulation.</p> <p>Ch.1 Of Denomination <lb/>Principle in regard to <lb/>denomination</p> <p>1. Aids to conception <lb/>and retention in regard <lb/>to Denomination.</p> <p>1. As to the objects individually <lb/>considered</p> <p>2. As to the groups of <lb/>objects considered in relation <lb/>to each other <add>one another</add> — <lb/>analogy.</p><pb/> | ||
Ch. Expenditure — Modes applicable to quantity 1. Dif and in particular to figured quantity 1. Exemplification — med 1.Definition <gap/> of examples 2. Definition. viz if the manner of the transfer of <gap/>. See 3. Origination 1. B<gap/>s medication of the origin of the mode in which the operation by which the source from which <gap/> the conception has been obtained. This source is either 1. Analytic Operation Means concerned Observation 2. Synthetic - Obs Efficient operation by Experiment. | |||
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Titles of Chapters Rudiments
Consideranda
Subjects of Posology
1. Objects the objects
quantities themselves
2. Relations - of the quantities
one to another
Universally applicable
Relations of quantity
to quantity
1. Greatness
2. Lesserness
Equality
For expositive of greaterness
and lesserness employ
goodness and badness
Magnitudes as
employed by Euclid
are quantities considered
in relation to figures
configurated quantities
Ch. Magnitude
Magnitudes are
1. in analytic order
1. Solids
2. Surfaces.
3 Lines
4. Points
II. in synthetic order
1. Points
2. Lines
3. Surfaces
4. Solids
Ch. of solids. their
dimensions their bound Solids
regular and irregular
See surfaces, and Lines
Angles - their relation
to surfaces and lines
---page break---
Subject & Posology
[+] Quantities in question.
i.e. entities,
real and fictitious,
susceptible of quantity
1. Bodies
2. Spaces
3. Times
4. Events
Events are
1. Metia
2. Roots
Example of Roots
1 the Roots employed in
M
10 July 1820
Consideranda in the
field of Posology
Quantities {1.
2. Relation (between th of }2 Position
3. Operation - for bringing to
view their relation
4. of these Operations
5 of the Contrivance by which the Operation
Quantities are — was correlateby
1. Integral viz 1. Substances.
2. Species 3.
1
4 Elementary viz Surfaces
2.
Elementary peculiar to Bodies
Substance
Quantities viz. Integral & Elementary viz the origin
1. Natural 2. Fictitious
III Operations
1 : viz Diminutive
viz. of the Relation: correspondent
are the Results
2. Mediate or Preparatory, or
instrumentary
Generally applicable
1. Definition or Exposition
including Euclid Axioms
2. Assumptions Euclids postulates
3 Prepar particularly or
individually applicable
Preparations Operations
---page break---
Ch. Means, Instruments,
causes, sources
Foundations of knowledge
on the subject
of quantity —
N.B. as on any other
subject.
1. Experience.
2. Observation.
3. Experiment.
Their agreements and
differences
Sums employed on those
several operations
Ch. Operations by
means of which our
knowledge of the subject
of quantity is
obtained
1. Denomination
2 Definition or
Exposition m
Definition
3. Assumption
(Axioms)
4. Postulation.
Ch.1 Of Denomination
Principle in regard to
denomination
1. Aids to conception
and retention in regard
to Denomination.
1. As to the objects individually
considered
2. As to the groups of
objects considered in relation
to each other one another —
analogy.
---page break---
Ch. Expenditure — Modes applicable to quantity 1. Dif and in particular to figured quantity 1. Exemplification — med 1.Definition of examples 2. Definition. viz if the manner of the transfer of . See 3. Origination 1. Bs medication of the origin of the mode in which the operation by which the source from which the conception has been obtained. This source is either 1. Analytic Operation Means concerned Observation 2. Synthetic - Obs Efficient operation by Experiment.
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