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<p>19. A segment of a circle is a figure<lb/> | <p>19. A segment of a circle is a figure<lb/> | ||
contained <del><gap/></del> <add>between</add> a | contained <del><gap/></del> <add>between</add> a right line & part<lb/> | ||
of the circumference to a circle.</p> | of the circumference to a circle.</p> | ||
<p>20. S | <p>20. S A Sector of a circle is a wedged<lb/> | ||
formed figure having for its boundaries<lb/> | formed figure having for its boundaries<lb/> | ||
any two lines <del>by</del> which <del>an angle is</del> <add>being equal</add> to<lb/> | any two lines <del>by</del> which <del>an angle is</del> <add>being equal</add> to<lb/> | ||
each other are the boundaries of an angle<lb/> | each other are the boundaries of an angle:<lb/> | ||
then for its other boundary it has<lb/> | |||
the corresponding portion of the circle:<lb/> | the corresponding portion of the circle:<lb/> | ||
<del>it has</del> <add>as</add> also <del>the</del> <add>a</add> right line which is<lb/> | <del>it has</del> <add>as</add> also <del>the</del> <add>a</add> right line which is<lb/> | ||
the secant of that same circle. In as<lb/> | the secant of that same circle. In as<lb/> | ||
much as <del>the two ends</del> <add>the | much as <del>the two ends</del> <add>the parts of each end of the secant <del>are</del> is common</add><lb/> | ||
<add>to that & the correspondent end of the portion of the</add><lb/> | <add>to that & the correspondent end of the portion of the</add><lb/> | ||
<del>the boundaries of that same secant<lb/> | <del>the boundaries of that same secant<lb/> | ||
& the <gap/> portion of the circle<lb/> | & the <gap/> portion of the</del> circle<lb/> | ||
of the same line.</del> cut off by it.</p> | <del>of the same line.</del> cut off by it.</p> | ||
<p>In this case the term sector is applied<lb/> | <p>In this case the term sector is applied<lb/> | ||
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2
H Jany. 3, 1832. Posology
Euclid's
Definitions
/ from Stone's Euclid
17. The two parts into which this
line divides the circle are equal to
each other.
17. A diameter of a circle is a
right line drawn through the circle &
terminated on each side by the circumference
& divides the circle into two
equal parts.
The two parts into which this line
divides the circle are equal to each other.
Unexceptionable
18. A semicircle is a figure contained
between a diameter & that part of the
circumference of a circle cut off by that diameter.
19. A segment of a circle is a figure
contained between a right line & part
of the circumference to a circle.
20. S A Sector of a circle is a wedged
formed figure having for its boundaries
any two lines by which an angle is being equal to
each other are the boundaries of an angle:
then for its other boundary it has
the corresponding portion of the circle:
it has as also the a right line which is
the secant of that same circle. In as
much as the two ends the parts of each end of the secant are is common
to that & the correspondent end of the portion of the
the boundaries of that same secant
& the portion of the circle
of the same line. cut off by it.
In this case the term sector is applied
to a portion of a circle but with equal
propriety it may be applied to a
portion of a sphere: for a sector as
applied to a portion of a circle see — —
also as applied to a sphere see — —
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street & co 1830 |
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antonio alcala galiano |
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1830 |
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