| Folio 76 v (final text) |
| 1
|
Quod erit si [rectangulum] abi sit aequale [rectangul]o cal, id autem erit si [rectangulum] acl cum [quadrat]o cb sint aequalia [rectangul]o bai; si [rectangulum] abi sit aequale [rectangul]o nai |
| 2
|
Quia ut ab ad bn, ita ai ad in, erit, permutando, ut ba ad ai, ita bn ad ni. |
| 3
|
Quaeritur z, ex quo tempora zab, ab sint aequalia. |
| 4A
|
Modo videndum numquid tempus per oab sit brevissimum, et primo qu[a]erere quantum sit posita oa 703 1/8. |
| 4B
|
Ponamus modo esse oa 680, erit ax |
| C01
|
(57 1/7 * 57 1/7) : 60
57 1/7 * 57 1/7 = 3249 + 16 = 3265
3265 : 60 = 54 |
| C02
|
(40 * 60) : 140
40 * 60 = 2400
2400 : 140 = 17 1/7
60 - 17 1/7 = 42 6/7
100 - 42 6/7 = 57 1/7 |
| C03
|
1/2 + 1/3
1 * 3 = 3
1 * 2 = 2
3 + 2 = 5 |
| C04
|
(40 * [100]) : 140
40 * [100] = 4000
4000 : 140 = 28 4/7
27 1/6 |
| C05
|
(100 * 27 1/6) : 60
100 * 27 1/6 = 2700 + 16 2/3 = 2716 2/3 |
| C06
|
| ab | 100 | | ac | 60 | | an | | ao | 27 1/6 | | bn | 40 | | ax | 45 5/18 | | xb | 145 5/18 | |
| C07
|
oa 680 erit ax
ax 1700
mediam xba 1643 1/6
mediam xab 1303 1/6
tempus per ab 339 1/3
tempus per ao 521 1/2
329 1/3 + 521 1/2 = 860 5/6 |
| C08
|
| ab | 100 | | ac | 60 | | an | | nb | 40 | | lc | 17 1/7 | | al | 42 6/7 | | ai | | bi | 57 1/7 | | ax | 54 1/3 | |
| C09
|
24_12
32_8
(16 * 10) : 12 |
| C10
|
bn 12
ni 8
ac 16
ba 24
ai 12
bn 8
ni 4
|
| C11
|
| ab | 1000 | | ac | 400 | | an | | nb | 600 | | lc | 150 | | la | 250 | | ac | | bi | 750 | | az | 1406 1/4 | | ao | 703 1/8 |
| ab | 1000 | | ac | 400 | | ax | 1757 13/16 | | mediam xbal | 660 2/3 | | mediam xbal | 325 5/6 | | tempus per ab | 334 5/6 | | tempus per ao | 530 1/3 | | tempus per totam | 865 1/6 |
|
