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draw CD cutting A<lb/> | draw CD cutting A<lb/> | ||
B in E.</p><pb/> | B in E.</p><pb/> | ||
<p>N<hi rend="superscript">o</hi> 298 Prob. 6. p 196</p> | |||
<p>To erect a perpendicular<lb/> | |||
to a given <sic>strait</sic><lb/> | |||
line AB, at a given<lb/> | |||
point in it C.</p> | |||
<p>About the <sic>center</sic> C, at<lb/> | |||
any distance, describe<lb/> | |||
a circle cutting the given<lb/> | |||
line in D & E, with<lb/> | |||
any radius greater<lb/> | |||
than CD describe<lb/> | |||
circles cutting in F, &<lb/> | |||
draw CF.<lb/> | |||
+</p> | |||
<p>N<hi rend="superscript">o</hi> 299. Prob. 7. p 198</p> | |||
<p>From any given point<lb/> | |||
A, to let fall a perpendicular<lb/> | |||
upon an<lb/> | |||
infinite <sic>strait</sic> line BD.</p> | |||
<p>About the <sic>center</sic> A,<lb/> | |||
describe a circle at pleasure<lb/> | |||
cutting the given<lb/> | |||
line in C & E, with<lb/> | |||
the same radius describe<lb/> | |||
circles cutting<lb/> | |||
one another in F, and<lb/> | |||
draw AF cutting BD<lb/> | |||
in G.<lb/> | |||
+</p> | |||
<p>N<hi rend="superscript">o</hi> 300. Prob. 8. p 200</p> | |||
<p>To make a triangle,<lb/> | |||
whose sides shall be equal<lb/> | |||
to three given<lb/> | |||
strait lines AB, BC,<lb/> | |||
CD; provided any two<lb/> | |||
of them taken together<lb/> | |||
be greater than the third.</p> | |||
<p>About the <sic>center</sic> B,<lb/> | |||
with the radius BA,<lb/> | |||
describe the circle AEF<lb/> | |||
on the <sic>center</sic> C, with the<lb/> | |||
radius CD, describe<lb/> | |||
the circle DGF, and<lb/> | |||
draw BF, FG.</p> | |||
<p>N<hi rend="superscript">o</hi> 301. Prob. 9. p 201.</p> | |||
<p>At a given point A,<lb/> | |||
in a given <sic>strait</sic> line<lb/> | |||
AB, to make an angle<lb/> | |||
equal to a given angle<lb/> | |||
CDE.</p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
No 293 Prob. 1. p. 191
Upon a given strait line
AB, to make an equilateral
triangle.
About the center A, with
the radius AB, describe
the circle BDC, also
about the center B, with
the radius BA, describe
the circle AEC,
and join AC, CB.
No 294. Prob. 2. p. 192.
From a given point A,
to draw a line that shall
be equal to a given strait
line B.C.
Join AB, and upon
it make the equilateral
triangle ABD, produce
the sides DA, DB,
to E & F, about the center
B, with the radius BC
describe the arch CF,
and about the radius DF the
arch FE.
No 295 Prob. 3. p. 193
Two unequal strait lines
AB, & CD, being given,
to take a part of the
greater that shall be
equal to the lesser.
From the point A draw
the line AE equal to
the line CD, by problem
2, and about the
center A, with the radius
AE, describe a
circle cutting AB in F.
No 296. Prob. 4. p. 194
To divide a given angle
ABC into two equal
parts, or to bisect it.
On the center B at any
distance to A describe
the arch AC, on the centers
A & C, with the
distances AB, CB, describe
arches cutting
each other in D, and
draw BD.
No 297. Prob. 5. p. 195
To divide a given strait
line AB into two equal
parts, or to bisect it.
About the centers A
& B, with any radius
greater than half the
line, describe circles
cutting one another
in C and D, and
draw CD cutting A
B in E.
---page break---
No 298 Prob. 6. p 196
To erect a perpendicular
to a given strait
line AB, at a given
point in it C.
About the center C, at
any distance, describe
a circle cutting the given
line in D & E, with
any radius greater
than CD describe
circles cutting in F, &
draw CF.
+
No 299. Prob. 7. p 198
From any given point
A, to let fall a perpendicular
upon an
infinite strait line BD.
About the center A,
describe a circle at pleasure
cutting the given
line in C & E, with
the same radius describe
circles cutting
one another in F, and
draw AF cutting BD
in G.
+
No 300. Prob. 8. p 200
To make a triangle,
whose sides shall be equal
to three given
strait lines AB, BC,
CD; provided any two
of them taken together
be greater than the third.
About the center B,
with the radius BA,
describe the circle AEF
on the center C, with the
radius CD, describe
the circle DGF, and
draw BF, FG.
No 301. Prob. 9. p 201.
At a given point A,
in a given strait line
AB, to make an angle
equal to a given angle
CDE.
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