Harriot, Thomas
,
Mss. 6784
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161
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162
(81v)
163
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164
(82v)
165
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166
(83v)
167
(84)
168
(84v)
169
(85)
170
(85v)
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0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
120 - 129
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
210 - 219
220 - 229
230 - 239
240 - 249
250 - 259
260 - 269
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
340 - 349
350 - 359
360 - 369
370 - 379
380 - 389
390 - 399
400 - 409
410 - 419
420 - 429
430 - 439
440 - 449
450 - 459
460 - 469
470 - 479
480 - 489
490 - 499
500 - 509
510 - 519
520 - 529
530 - 539
540 - 549
550 - 559
560 - 569
570 - 579
580 - 589
590 - 599
600 - 609
610 - 619
620 - 629
630 - 639
640 - 649
650 - 659
660 - 669
670 - 679
680 - 689
690 - 699
700 - 709
710 - 719
720 - 729
730 - 739
740 - 749
750 - 759
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770 - 779
780 - 789
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<
echo
version
="
1.0RC
">
<
text
xml:lang
="
eng
"
type
="
free
">
<
div
type
="
section
"
level
="
1
"
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="
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">
<
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file
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add_6784_f116
"
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="
116
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n
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231
"/>
<
head
xml:space
="
preserve
"
xml:lang
="
lat
"> cd.1.) De determinata
<
lb
/>
[
<
emph
style
="
bf
">Translation: </
emph
>
On a determinate ]</
head
>
<
p
xml:lang
="
lat
">
<
s
xml:space
="
preserve
"/>
</
p
>
<
p
xml:lang
="
lat
">
<
s
xml:space
="
preserve
"> fiat:
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>q</
mi
>
<
mo
>=</
mo
>
<
mi
>i</
mi
>
<
mi
>p</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
[…]
<
lb
/>
fiat periferia
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>b</
mi
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
[…]
<
lb
/>
si secet in
<
math
>
<
mstyle
>
<
mi
>b</
mi
>
</
mstyle
>
</
math
>
<
math
>
<
mstyle
>
<
mi
>d</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
[…]
<
lb
/>
dico quod:
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>a</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>α</
mi
>
</
mstyle
>
</
math
>
: quæsitæ.
<
lb
/>
si tangat: erit,
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>a</
mi
>
<
mo
>=</
mo
>
<
mi
>p</
mi
>
<
mi
>c</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
et
<
math
>
<
mstyle
>
<
mi
>z</
mi
>
<
mi
>q</
mi
>
</
mstyle
>
</
math
>
est
<
lb
/>
[
<
emph
style
="
bf
">Translation: </
emph
>
make
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>q</
mi
>
<
mo
>=</
mo
>
<
mi
>i</
mi
>
<
mi
>p</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
<
lb
/>
make the circumference
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>b</
mi
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
<
lb
/>
if it cuts in
<
math
>
<
mstyle
>
<
mi
>b</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>d</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
<
lb
/>
I say that:
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>a</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>α</
mi
>
</
mstyle
>
</
math
>
are the lines sought.
<
lb
/>
If it touches, then
<
math
>
<
mstyle
>
<
mi
>i</
mi
>
<
mi
>a</
mi
>
<
mo
>=</
mo
>
<
mi
>p</
mi
>
<
mi
>c</
mi
>
</
mstyle
>
</
math
>
, and
<
math
>
<
mstyle
>
<
mi
>z</
mi
>
<
mi
>q</
mi
>
</
mstyle
>
</
math
>
is the maximum. </
s
>
</
p
>
<
p
>
<
s
xml:space
="
preserve
"> cd.1)
<
lb
/>
</
s
>
</
p
>
<
p
xml:lang
="
lat
">
<
s
xml:space
="
preserve
"> fiat:
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>z</
mi
>
<
mo
>=</
mo
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
[…]
<
lb
/>
fiat periferia
<
math
>
<
mstyle
>
<
mi
>r</
mi
>
<
mi
>b</
mi
>
<
mi
>p</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
[…]
<
lb
/>
si secet in
<
math
>
<
mstyle
>
<
mi
>d</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>b</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
[…]
<
lb
/>
dico quod:
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>a</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>e</
mi
>
</
mstyle
>
</
math
>
: quæsitæ.
<
lb
/>
si tangat: erit,
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>a</
mi
>
<
mo
>=</
mo
>
<
mi
>p</
mi
>
<
mi
>c</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
et
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
, erit
<
lb
/>
[
<
emph
style
="
bf
">Translation: </
emph
>
make
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>z</
mi
>
<
mo
>=</
mo
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
<
lb
/>
make the circumference
<
math
>
<
mstyle
>
<
mi
>r</
mi
>
<
mi
>b</
mi
>
<
mi
>p</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
<
lb
/>
if it cuts in
<
math
>
<
mstyle
>
<
mi
>d</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>b</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
<
lb
/>
I say that:
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>a</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>e</
mi
>
</
mstyle
>
</
math
>
are the lines sought.
<
lb
/>
If it touches, then
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>a</
mi
>
<
mo
>=</
mo
>
<
mi
>p</
mi
>
<
mi
>c</
mi
>
</
mstyle
>
</
math
>
, and
<
math
>
<
mstyle
>
<
mi
>p</
mi
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
will be the maximum. </
s
>
</
p
>
<
p
xml:lang
="
lat
">
<
s
xml:space
="
preserve
"> fiat:
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>r</
mi
>
<
mo
>=</
mo
>
<
mi
>i</
mi
>
<
mi
>u</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
[…]
<
lb
/>
fiat periferia,
<
math
>
<
mstyle
>
<
mi
>t</
mi
>
<
mi
>b</
mi
>
<
mi
>u</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
[…]
<
lb
/>
si secet in
<
math
>
<
mstyle
>
<
mi
>b</
mi
>
</
mstyle
>
</
math
>
<
math
>
<
mstyle
>
<
mi
>d</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
[…]
<
lb
/>
dico quod:
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>u</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>e</
mi
>
</
mstyle
>
</
math
>
: quæsitæ.
<
lb
/>
si tangat: erit,
<
math
>
<
mstyle
>
<
mi
>a</
mi
>
<
mi
>u</
mi
>
<
mo
>=</
mo
>
<
mi
>u</
mi
>
<
mi
>c</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
et,
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
, erit
<
lb
/>
[
<
emph
style
="
bf
">Translation: </
emph
>
make
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>r</
mi
>
<
mo
>=</
mo
>
<
mi
>i</
mi
>
<
mi
>u</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
<
lb
/>
make the circumference
<
math
>
<
mstyle
>
<
mi
>t</
mi
>
<
mi
>b</
mi
>
<
mi
>u</
mi
>
</
mstyle
>
</
math
>
<
lb
/>
<
lb
/>
if it cuts in
<
math
>
<
mstyle
>
<
mi
>b</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>d</
mi
>
</
mstyle
>
</
math
>
.
<
lb
/>
<
lb
/>
I say that:
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>u</
mi
>
</
mstyle
>
</
math
>
,
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>e</
mi
>
</
mstyle
>
</
math
>
are the lines sought.
<
lb
/>
If it touches, then
<
math
>
<
mstyle
>
<
mi
>a</
mi
>
<
mi
>u</
mi
>
<
mo
>=</
mo
>
<
mi
>u</
mi
>
<
mi
>c</
mi
>
</
mstyle
>
</
math
>
, and
<
math
>
<
mstyle
>
<
mi
>u</
mi
>
<
mi
>z</
mi
>
</
mstyle
>
</
math
>
will be the maximum. </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>