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<!-- This page is formatted in rows with three paragraphs in each row. --><p>the angles which stand upon<lb/>nces are equal to one another<lb/>at the centers or circumfe-
<p>the angles which stand upon<lb/>
</p>-----<p><head>XXXII Theor</head>touches a circle, &amp; from the point<lb/>line be drawn cutting the circle,<lb/>this line with the line touching<lb/>be equal to the angles which<lb/>te segments of the circle.</p>-----<p><head>XXXVII Theor</head>without a circle there be drawn<lb/>one of which cuts the circle,<lb/>it; if the rectangle of the<lb/>cuts the circle, and the part<lb/>circle be equal to the square of<lb/>ects it, the line which meets<lb/>circle. &#x2014;</p><pb/><p>In equal circles equal straight lines cut off equal<lb/>circumferences, the greater equal to the greater,<lb/>and the less to the less.</p>-----<p><head>Prop XXXIII Prob.</head>Upon a given straight line to describe a segment<lb/>of a circle, containing an angle equal to a given<lb/>rectilineal angle.</p><pb/><p>In equal circles equal circumferences, are<lb/>subtended by equal straight lines. &#x2014;</p>-----<p><head>Prop XXXIV Prob.</head>To cut off a Segment from a given circle<lb/>which shall contain an angle equal to a given<lb/>rectilineal angle.</p><pb/><head>ok the Fourth --</head><p><head>Prop IV Prob.</head>To inscribe a circle in a given<lb/>triangle.</p>-----<p><head>Prop X Prob</head>To describe an <sic>Iscoceles</sic> triangle<lb/>having each of the angles of the<lb/>base double of the third angle.</p>-----<p><head>Prop XVI Prob.</head>To describe an equilaetral and<lb/>equiangular <add>quindecagon</add> <del>triangle</del> in a given circle.</p><pb/><p><head>Prop V Prob</head>To describe a Circle about a given<lb/>triangle.</p>-----<p><head>Prop XII Prob</head>To describe an equilateral &amp;<lb/>equiangular pentagon in a given Circle.</p><pb/><p><head>Prop VI Prob</head>To inscribe a Square in a given<lb/>Circle.</p>-----<p><head>Prop <sic>XII</sic> Prob</head>To describe an equilateral and<lb/>equiangular pentagon about a<lb/>given Circle.</p>
nces are equal to one another<lb/>
at the centers or circumfe-</p>


<p>XXXII Theor<lb/>
touches a circle, &amp; from the point<lb/>
line be drawn cutting the circle,<lb/>
this line with the line touching<lb/>
be equal to the angles which<lb/>
te segments of the circle.</p>
<p>XXXVII Theor<lb/>
without a circle there be drawn<lb/>
one of which cuts the circle,<lb/>
it; if the rectangle of the<lb/>
cuts the circle, and the part<lb/>
circle be equal to the square of<lb/>
ects it, the line which meets<lb/>
circle.&#x2014;</p>
<pb/>
<p>In equal circles equal straight lines cut off equal<lb/>
circumferences, the greater equal to the greater,<lb/>
and the less to the less.</p>
<p>Prop XXXIII Prob. <lb/>
Upon a given straight line to describe a segment<lb/>
of a circle, containing an angle equal to a given<lb/>
rectilineal angle.</p>
<pb/>
<p>In equal circles equal circumferences, are<lb/>
subtended by equal straight lines.&#x2014;</p>
<p>Prop XXXIV Prob. <lb/>
To cut off a Segment from a given circle<lb/>
which shall contain an angle equal to a given<lb/>
rectilineal angle.</p>
<pb/>
<p>Prop IV Prob.<lb/>
To inscribe a circle in a given<lb/>
triangle.</p>
<p>Prop X Prob<lb/>
To describe an <sic>Iscoceles</sic> triangle<lb/>
having each of the angles of the<lb/>
base double of the third angle.</p>
<p>Prop XVI Prob.<lb/>
To describe an equilaetral and<lb/>
equiangular <add>quindecagon</add> <del>triangle</del> in a given circle.</p>
<pb/>
<p>Prop V Prob<lb/>
To describe a Circle about a given<lb/>
triangle.</p>
<p>Prop XII Prob<lb/>
To describe an equilateral &amp;<lb/>
equiangular pentagon in a given Circle.</p>
<pb/>
<p>Prop VI Prob<lb/>
To inscribe a Square in a given<lb/>
Circle.</p>
<p>Prop XII. Prob<lb/>
To describe an equilateral and<lb/>
equiangular pentagon about a<lb/>
given Circle.</p>


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{{Metadata:{{PAGENAME}}}}
{{Metadata:{{PAGENAME}}}}{{Completed}}

Latest revision as of 10:35, 4 February 2020

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the angles which stand upon
nces are equal to one another
at the centers or circumfe-

XXXII Theor
touches a circle, & from the point
line be drawn cutting the circle,
this line with the line touching
be equal to the angles which
te segments of the circle.

XXXVII Theor
without a circle there be drawn
one of which cuts the circle,
it; if the rectangle of the
cuts the circle, and the part
circle be equal to the square of
ects it, the line which meets
circle.—


---page break---

In equal circles equal straight lines cut off equal
circumferences, the greater equal to the greater,
and the less to the less.

Prop XXXIII Prob.
Upon a given straight line to describe a segment
of a circle, containing an angle equal to a given
rectilineal angle.


---page break---

In equal circles equal circumferences, are
subtended by equal straight lines.—

Prop XXXIV Prob.
To cut off a Segment from a given circle
which shall contain an angle equal to a given
rectilineal angle.


---page break---

Prop IV Prob.
To inscribe a circle in a given
triangle.

Prop X Prob
To describe an Iscoceles triangle
having each of the angles of the
base double of the third angle.

Prop XVI Prob.
To describe an equilaetral and
equiangular quindecagon triangle in a given circle.


---page break---

Prop V Prob
To describe a Circle about a given
triangle.

Prop XII Prob
To describe an equilateral &
equiangular pentagon in a given Circle.


---page break---

Prop VI Prob
To inscribe a Square in a given
Circle.

Prop XII. Prob
To describe an equilateral and
equiangular pentagon about a
given Circle.



Identifier: | JB/135/073/005"JB/" can not be assigned to a declared number type with value 135.

Date_1

Marginal Summary Numbering

Box

135

Main Headings

Folio number

073

Info in main headings field

the propositions of the third and fourth books of euclid as expressed by simson

Image

005

Titles

Category

private material

Number of Pages

2

Recto/Verso

recto

Page Numbering

Penner

sir samuel bentham

Watermarks

[[watermarks::[tall thin motif with prince of wales feathers] icv]]

Marginals

Paper Producer

Corrections

Paper Produced in Year

Notes public

ID Number

46191

Box Contents

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