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' | <head>1820 May 27 M<lb/> | ||
Posology <add>1</add></head> | |||
<note>II Morphoscopics<lb/> | |||
46</note> | |||
<p>2</p> | |||
<note>7<lb/> | |||
<add>Mode of</add> Explaining irregular<lb/> | |||
figures, division<lb/> | |||
into regular ones.</note> | |||
<p>Question 7 In what manner are irregular figures explained<lb/> | |||
<del><gap/></del> by the relation they have to <del>some</del> regular<lb/> | |||
figures?</p> | |||
<p>Ans. By being conceived to be, and thence spoken of as<lb/> | |||
if they were divided into such or such regular figures</p> | |||
<note>8<lb/> | |||
Mode of explaining<lb/> | |||
complex figures, division<lb/> | |||
into simple</note> | |||
<p>Question 8 In what manner are complicated figures<lb/> | |||
explained?</p> | |||
<p>Ans. By the relation they <unclear>bear</unclear> to the most simple<lb/> | |||
figures: by being conceived to be and thence spoken of as if<lb/> | |||
they were, divided into such or such regular <add>and simple</add> figures.</p> | |||
<note>9<lb/> | |||
Mode of directing an<lb/> | |||
irregular into regular<lb/> | |||
figures — Example<lb/> | |||
1. A field — having<lb/> | |||
sides more than one<lb/> | |||
divided into <unclear>trilateral</unclear><lb/> | |||
figures called <hi rend="underline">triangles</hi><lb/> | |||
more than one</note> | |||
<p>Question 9. What examples can you produce of a more<lb/> | |||
complicated <del><gap/></del> figure being divided into <del><gap/></del> a number<lb/> | |||
of more <add>the most</add> simple ones</p> | |||
<p>Ans. A field<add>+</add>,<lb/> | |||
<note><add>+</add> if Polygonal<lb/> | |||
not if curvilinear<lb/> | |||
shaped</note><lb/> | |||
be it ever so irregular, and have<lb/> | |||
ever so many sides to it, may, I am told, be divided into<lb/> | |||
a certain number of <add>parts called</add> triangles: and then in order that measure <add>may be taken of</add> <note>it, and</note> if then<lb/> | |||
<del><gap/></del> quantity of ground <add>employable surface</add> contained in it may be known,<lb/> | |||
it is necessary, I am told, that it should be divided<lb/> | |||
into such triangles: but as to what a triangle is, and the<lb/> | |||
manner in which <del><gap/></del> a field is <add>can</add> thus to be divided, this is<lb/> | |||
a matter which I have yet to learn, and hope to learn<lb/> | |||
in due time.</p> | |||
<note>10<lb/> | |||
☞ Here exhibit an<lb/> | |||
example of this sort<lb/> | |||
from Euclid's Elements</note> | |||
<p>☞ N. B. Here exhibited on a field <add>the diagram</add> in the form of an irregular<lb/> | |||
polygon: and <del><gap/></del> <add>by the side of it</add> another of the same form and size,<lb/> | |||
but divided into triangles.</p> | |||
1820 May 27 M
Posology 1
II Morphoscopics
46
2
7
Mode of Explaining irregular
figures, division
into regular ones.
Question 7 In what manner are irregular figures explained
by the relation they have to some regular
figures?
Ans. By being conceived to be, and thence spoken of as
if they were divided into such or such regular figures
8
Mode of explaining
complex figures, division
into simple
Question 8 In what manner are complicated figures
explained?
Ans. By the relation they bear to the most simple
figures: by being conceived to be and thence spoken of as if
they were, divided into such or such regular and simple figures.
9
Mode of directing an
irregular into regular
figures — Example
1. A field — having
sides more than one
divided into trilateral
figures called triangles
more than one
Question 9. What examples can you produce of a more
complicated figure being divided into a number
of more the most simple ones
Ans. A field+,
+ if Polygonal
not if curvilinear
shaped
be it ever so irregular, and have
ever so many sides to it, may, I am told, be divided into
a certain number of parts called triangles: and then in order that measure may be taken of it, and if then
quantity of ground employable surface contained in it may be known,
it is necessary, I am told, that it should be divided
into such triangles: but as to what a triangle is, and the
manner in which a field is can thus to be divided, this is
a matter which I have yet to learn, and hope to learn
in due time.
10
☞ Here exhibit an
example of this sort
from Euclid's Elements
☞ N. B. Here exhibited on a field the diagram in the form of an irregular
polygon: and by the side of it another of the same form and size,
but divided into triangles.
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Identifier: | JB/135/236/001"JB/" can not be assigned to a declared number type with value 135. |
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1820-05-27 |
7-10 |
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135 |
posology |
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236 |
posology |
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001 |
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jeremy bentham |
c wilmott 1819 |
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andreas louriottis |
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1819 |
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46354 |
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