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<p>1. Need of means of facilitation<lb/> | <p>1. Need of means of facilitation<lb/> | ||
2. | 2. Means viz <del><gap/></del> After<lb/> | ||
Discarding the useless<lb/> | Discarding the useless<lb/> | ||
matter.</p> | matter <add>baggage</add>.</p> | ||
<head>117 or 2</head> | <head>117 or 2</head> | ||
| Line 26: | Line 24: | ||
<p>2 Furnishing an all comprehensive<lb/> | <p>2 Furnishing an all comprehensive<lb/> | ||
view of of it, | view of of it, as <hi rend="underline">thus</hi></p> | ||
<p><del>Posology is either 1. | <p><del>Posology is either 1. alegomorphic<lb/> | ||
or 2. morphoscopic</del></p> | or 2. morphoscopic</del></p> | ||
| Line 55: | Line 53: | ||
or<lb/> | or<lb/> | ||
<hi rend="underline">holodiagrammatic</hi> or<lb/> | <hi rend="underline">holodiagrammatic</hi> or<lb/> | ||
<note> | <note>holosemantic.</note><lb/> | ||
3. <sic>Mixt</sic> — composed of the<lb/> | 3. <sic>Mixt</sic> — composed of the<lb/> | ||
two exhibited together.</p> | two exhibited together.</p> | ||
<head>120 or 5. Morphoscopic<lb/> | <head>120 or 5. Morphoscopic<lb/> | ||
Aneudiag<lb/> | |||
Uses</head> | Uses</head> | ||
| Line 73: | Line 71: | ||
of possessors.</p> | of possessors.</p> | ||
<head><del>121</del> | <head><del>121</del> or 6. Elucidation<lb/> | ||
Morphoscopic<lb/> | Morphoscopic<lb/> | ||
Aplodiagr<lb/> | Aplodiagr<lb/> | ||
| Line 93: | Line 91: | ||
<head>Elucidation<lb/> | <head>Elucidation<lb/> | ||
Means of Facilitation<lb/> | Means of Facilitation<lb/> | ||
122 or 7 | 122 or 7. Morphoscopic<lb/> | ||
Diffusion</head> | Diffusion</head> | ||
| Line 128: | Line 126: | ||
<head>125 or 10. Elucidation<lb/> | <head>125 or 10. Elucidation<lb/> | ||
Alegomor<gap/><lb/> | |||
Morphoscop<gap/></head> | Morphoscop<gap/></head> | ||
| Line 137: | Line 135: | ||
alegomorphic.</p> | alegomorphic.</p> | ||
<!-- Section 127 following has been pinned over part of the original column --> | |||
<head>Means of facilitation<lb/> | <head>Means of facilitation<lb/> | ||
127 or 15 Elucidation of<lb/> | 127 or 15 Elucidation of<lb/> | ||
| Line 146: | Line 145: | ||
indication of its <hi rend="underline">uses</hi><lb/> | indication of its <hi rend="underline">uses</hi><lb/> | ||
<del><gap/></del> immediate<lb/> | <del><gap/></del> immediate<lb/> | ||
or non- | or non-immediate<lb/> | ||
but | but interventional,<lb/> | ||
with reference to<lb/> | with reference to<lb/> | ||
propositions of <sic>mixt</sic><lb/> | |||
mathematics.</p> | mathematics.</p> | ||
<head><gap/> 12 Alegomorphic</head> | <head><del><gap/></del> 12 Alegomorphic</head> | ||
<p>Showing the <hi rend="underline">equivalence</hi>,<lb/> | <p>Showing the <hi rend="underline">equivalence</hi>,<lb/> | ||
| Line 158: | Line 157: | ||
calculus integral and<lb/> | calculus integral and<lb/> | ||
differential; as per<lb/> | differential; as per<lb/> | ||
Leibniz &c and<lb/> | |||
fluxions; as per | fluxions; as per Newton<lb/> | ||
&c</p><pb/> | &c</p><pb/> | ||
<!-- Sections 128 to 131 following have been pinned over part of the original column --> | |||
<head>Means of facilitation<lb/> | |||
Elucidation<lb/> | |||
Morphoscopics<lb/> | |||
128 or 14<add>#</add> or 1</head> | |||
<p><hi rend="underline">Circle</hi> & <hi rend="underline">Ring</hi> — confusion<lb/> | |||
and ambiguity<lb/> | |||
from their non-distinction.</p> | |||
<p>The <hi rend="underline">ring</hi> does what<lb/> | |||
the <hi rend="underline">three</hi> right lines<lb/> | |||
do in the <hi rend="underline">triangle</hi>, &<lb/> | |||
the <hi rend="underline">four</hi> in the<lb/> | |||
parallelogram.</p> | |||
<head>129 or 2. Elucidation of<lb/> | |||
Morphoscopics</head> | |||
<p>By compasses is described<lb/> | |||
what is called "<hi rend="underline">a circle</hi>,"<lb/> | |||
but is no more than a ring.</p> | |||
<head>130 or 3. Elucidation of<lb/> | |||
Morphoscopics</head> | |||
<p>By nothing but a twig<lb/> | |||
or a bar could a<lb/> | |||
circle be described.</p> | |||
<p>131 or 4:</p> | |||
<p>Boundaries of areas (superficies)<lb/> | |||
are thus<lb/> | |||
throughout confounded<lb/> | |||
with the areas — confusion<lb/> | |||
thus in the<lb/> | |||
minds of learners<lb/> | |||
and even teachers.</p> | |||
<p><gap/>ons to Music as<lb/> | |||
<gap/>alcot did the<lb/> | |||
Multiplication<lb/> | |||
<gap/>ble.</p> | |||
<p>138 or 19.<lb/> | |||
<gap/>mploy English sprung<lb/> | |||
in lieu of Greek —<lb/> | |||
<gap/>prung appellatives</p> | |||
<p>139 20<lb/> | |||
Exhibit the <hi rend="underline">solids</hi><lb/> | |||
natural and artificial,<lb/> | |||
from<lb/> | |||
whence the<lb/> | |||
ideas of the<lb/> | |||
several abstract<lb/> | |||
fictitious entities,<lb/> | |||
boundaries<lb/> | |||
of those same<lb/> | |||
solids, may have<lb/> | |||
been deduced.</p> | |||
<p>140 or 21.<lb/> | |||
In Bookkeeping, <unclear>expound</unclear><lb/> | |||
the technical by the<lb/> | |||
natural expression</p><pb/> | |||
<head>Methods of learning<lb/> | |||
and teaching<lb/> | |||
Historical<lb/> | |||
141 1</head> | |||
<p>Modes of learning are<lb/> | |||
applied posology.<lb/> | |||
1. The Expositive<lb/> | |||
2. The Historical.</p> | |||
<head>142 2. Historical</head> | |||
<p>The Expository regards<lb/> | |||
present state.</p> | |||
<head>143 3. Historical</head> | |||
<p>The Historical, all<lb/> | |||
prior states.</p> | |||
<head>144 4. Interrogative<lb/> | |||
teaching</head> | |||
<p>Modes of teaching<lb/> | |||
1. the didactic<lb/> | |||
2. the interrogative.</p> | |||
<p>145 or 5<lb/> | |||
The didactic, what.</p> | |||
<p>146. 6<lb/> | |||
The interrogative<lb/> | |||
what.</p> | |||
<p>147 or 7<lb/> | |||
Applicable to all<lb/> | |||
branches of art &</p> | |||
<!-- The remainder has been placed over the original column --> | |||
<head>152 20 (a) 4<lb/> | |||
Means of facilitation Elucidation<lb/> | |||
of<lb/> | |||
Morphoscopics<lb/> | |||
Historical</head> | |||
<p>1. Stone <sic>dropt</sic> in water<lb/> | |||
shows a <hi rend="underline">circle</hi><lb/> | |||
2. Path of any body <hi rend="underline">falling</hi><lb/> | |||
shows a <hi rend="underline">line</hi>.<lb/> | |||
3. Form-showing solids<lb/> | |||
are<lb/> | |||
1. Natural — 2. Artificial<lb/> | |||
4. Form-showing <hi rend="underline">natural</hi><lb/> | |||
solids, common salt.<lb/> | |||
crystals: correspondent<lb/> | |||
<hi rend="underline">artificial</hi>, dice.<lb/> | |||
5. Cylinder.. <hi rend="underline"><gap/></hi> <gap/><lb/> | |||
into <hi rend="underline">pillars</hi>: <unclear>then <hi rend="underline">straw</hi></unclear><lb/> | |||
5. A commencement<lb/> | |||
this of the conjectural<lb/> | |||
history of Mathematics.<lb/> | |||
See the chapter so<lb/> | |||
<sic>intituled</sic>.</p> | |||
<!-- Horizontal line --> | |||
<!-- The following paragraph has been deleted --> | |||
<p>3 May 1831<lb/> | |||
☞ Add to the idea of<lb/> | |||
equivalent synonyms<lb/> | |||
the idea of <hi rend="underline">translated</hi></p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
1831. Mar. 9. Seen May 4
Posology
7
Introduction?
1.I.4.1
"mind
"a
116 or Means of Facilitation
1. Need of means of facilitation
2. Means viz After
Discarding the useless
matter baggage.
117 or 2
2.
2 Furnishing an all comprehensive
view of of it, as thus
Posology is either 1. alegomorphic
or 2. morphoscopic
118 or 3. Alegomorphic
Quid
Alegomorphic
1. consists of an exhibition
of equivalent expressions.
2. by which abbreviation
is produced.
3. thereby facilitation of
acquisition.
4. augmentation of the
quantity acquired
119 or 4. Alegomorphic
Quid.
Morphoscopic is
1. portraiture-not-employing,
or say aneudiagrammatic
or
2. portraiture asemantic asemantic-alone
-employing or say aplodiagrammatic
or
holodiagrammatic or
holosemantic.
3. Mixt — composed of the
two exhibited together.
120 or 5. Morphoscopic
Aneudiag
Uses
Aneudiagrammatic — its
uses
1. Augmenting clearness
and comprehensiveness
of conception.
2. Augmenting facility of
possession.
3. Augmenting thereby the number
of possessors.
121 or 6. Elucidation
Morphoscopic
Aplodiagr
Uses
Obtained by means of the
aplodiagrammatic mode
is
1. a simultaneous view
of the whole matter.
2. observation of the genealogy
of the several
parts.
3. thence of the uses of all
sources services rendered by each
preceding, in leading to the
knowledge of each succeeding part.
---page break---
Elucidation
Means of Facilitation
122 or 7. Morphoscopic
Diffusion
Rendering the only intrinsically
useful pa
of a proposition — viz
the enunciative — possessible
knowable by many
whom the demonstrative
would be
unintelligible. ☞ Tab
all three.
123 8. Elucidation
Morphoscop
Indicating the only
remaining part of
every proposition, —
viz. the preparati
thereby giving clearness
to the concept
of the whole.
124 or 9. Elucidation
Alegomorp
& Morphoscop
Employing the easily,
viz. the alegomorphic
the exclusion of the
difficultly, acquiva
mode — the morphoscopic.
125 or 10. Elucidation
Alegomor
Morphoscop
Discarding the
morphoscopic, wh
by a fiction, employed,
instead of
alegomorphic.
Means of facilitation
127 or 15 Elucidation of
Morphoscopic
In the aplodiagrammatic
Table to each
proposition attach an
indication of its uses
immediate
or non-immediate
but interventional,
with reference to
propositions of mixt
mathematics.
12 Alegomorphic
Showing the equivalence,
as between
calculus integral and
differential; as per
Leibniz &c and
fluxions; as per Newton
&c
---page break---
Means of facilitation
Elucidation
Morphoscopics
128 or 14# or 1
Circle & Ring — confusion
and ambiguity
from their non-distinction.
The ring does what
the three right lines
do in the triangle, &
the four in the
parallelogram.
129 or 2. Elucidation of
Morphoscopics
By compasses is described
what is called "a circle,"
but is no more than a ring.
130 or 3. Elucidation of
Morphoscopics
By nothing but a twig
or a bar could a
circle be described.
131 or 4:
Boundaries of areas (superficies)
are thus
throughout confounded
with the areas — confusion
thus in the
minds of learners
and even teachers.
ons to Music as
alcot did the
Multiplication
ble.
138 or 19.
mploy English sprung
in lieu of Greek —
prung appellatives
139 20
Exhibit the solids
natural and artificial,
from
whence the
ideas of the
several abstract
fictitious entities,
boundaries
of those same
solids, may have
been deduced.
140 or 21.
In Bookkeeping, expound
the technical by the
natural expression
---page break---
Methods of learning
and teaching
Historical
141 1
Modes of learning are
applied posology.
1. The Expositive
2. The Historical.
142 2. Historical
The Expository regards
present state.
143 3. Historical
The Historical, all
prior states.
144 4. Interrogative
teaching
Modes of teaching
1. the didactic
2. the interrogative.
145 or 5
The didactic, what.
146. 6
The interrogative
what.
147 or 7
Applicable to all
branches of art &
152 20 (a) 4
Means of facilitation Elucidation
of
Morphoscopics
Historical
1. Stone dropt in water
shows a circle
2. Path of any body falling
shows a line.
3. Form-showing solids
are
1. Natural — 2. Artificial
4. Form-showing natural
solids, common salt.
crystals: correspondent
artificial, dice.
5. Cylinder..
into pillars: then straw
5. A commencement
this of the conjectural
history of Mathematics.
See the chapter so
intituled.
3 May 1831
☞ Add to the idea of
equivalent synonyms
the idea of translated
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