Euclides 歐幾里得
,
Ji he yuan ben 幾何原本
,
1966
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 399
>
21
(一)
22
23
24
(二)
25
(三)
26
(四)
27
(五)
28
(六)
29
(七)
30
(八)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 399
>
page
|<
<
(二三
[23]
)
of 399
>
>|
<
echo
version
="
1.0RC
">
<
text
type
="
book
"
xml:lang
="
zh
">
<
div
xml:id
="
echoid-div4
"
type
="
body
"
level
="
1
"
n
="
1
">
<
div
xml:id
="
N10950
"
level
="
2
"
n
="
1
"
type
="
chapter
">
<
div
xml:id
="
N112CC
"
level
="
3
"
n
="
1
"
type
="
chaptermain
">
<
div
xml:id
="
N112DE
"
level
="
4
"
n
="
1
"
type
="
problem
"
type-free
="
題
">
<
pb
n
="
45
"
file
="
0045
"
o
="
二三
"
o-norm
="
23
"
rhead
="
幾何原本 卷一
"
xlink:href
="
http://libcoll.mpiwg-berlin.mpg.de/libview?url=/mpiwg/online/permanent/library/02NT95YF/pageimg&mode=imagepath&pn=45
"/>
</
div
>
<
div
xml:id
="
N113B7
"
level
="
4
"
n
="
2
"
type
="
problem
"
type-free
="
題
">
<
head
xml:id
="
N113BD
"
xml:space
="
preserve
">第二題</
head
>
<
p
indent
="
-1
"
xml:id
="
N113BF
">
<
s
xml:id
="
N113C1
"
xml:space
="
preserve
">一直線。</
s
>
<
s
xml:id
="
N113C4
"
xml:space
="
preserve
">線或內、或外、有一點。</
s
>
<
s
xml:id
="
N113C7
"
xml:space
="
preserve
">求以點為界。</
s
>
<
s
xml:id
="
N113CA
"
xml:space
="
preserve
">作直線。</
s
>
<
s
xml:id
="
N113CD
"
xml:space
="
preserve
">與元線等。</
s
>
</
p
>
<
p
xml:id
="
N113D0
">
<
s
xml:id
="
N113D1
"
xml:space
="
preserve
">法曰。</
s
>
<
s
xml:id
="
N113D4
"
xml:space
="
preserve
">有甲點。</
s
>
<
s
xml:id
="
N113D7
"
xml:space
="
preserve
">及乙丙線。</
s
>
<
s
xml:id
="
N113DA
"
xml:space
="
preserve
">求以甲為界。</
s
>
<
s
xml:id
="
N113DD
"
xml:space
="
preserve
">作一線。</
s
>
<
s
xml:id
="
N113E0
"
xml:space
="
preserve
">與乙丙等。</
s
>
<
s
xml:id
="
N113E3
"
xml:space
="
preserve
">先以丙為心。</
s
>
<
s
xml:id
="
N113E6
"
xml:space
="
preserve
">乙為界。</
s
>
<
s
xml:id
="
N113E9
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N113EB
"
xml:space
="
preserve
">乙為心丙為界亦可作。</
s
>
<
s
xml:id
="
echoid-s1239
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N113F1
"
xml:space
="
preserve
">作丙乙圜。</
s
>
<
s
xml:id
="
N113F4
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N113F6
"
xml:space
="
preserve
">第三求</
s
>
<
s
xml:id
="
echoid-s1243
"
xml:space
="
preserve
">)</
s
>
<
lb
/>
<
s
xml:id
="
N113FD
"
xml:space
="
preserve
">次觀甲點、若在丙乙之外。</
s
>
<
s
xml:id
="
N11400
"
xml:space
="
preserve
">則自甲至丙。</
s
>
<
s
xml:id
="
N11403
"
xml:space
="
preserve
">作甲丙線。</
s
>
<
s
xml:id
="
N11406
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N11408
"
xml:space
="
preserve
">第一求</
s
>
<
s
xml:id
="
echoid-s1249
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N1140E
"
xml:space
="
preserve
">如左上圖。</
s
>
<
s
xml:id
="
N11411
"
xml:space
="
preserve
">或甲在丙乙之內。</
s
>
<
s
xml:id
="
N11414
"
xml:space
="
preserve
">則截取甲至丙一
<
lb
/>
分線。</
s
>
<
s
xml:id
="
N11419
"
xml:space
="
preserve
">如左下圖。</
s
>
<
s
xml:id
="
N1141C
"
xml:space
="
preserve
">兩法俱以甲丙線為底。</
s
>
<
s
xml:id
="
N1141F
"
xml:space
="
preserve
">任於上下作甲丁丙平邊三角形。</
s
>
<
s
xml:id
="
N11422
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N11424
"
xml:space
="
preserve
">本篇一。</
s
>
<
s
xml:id
="
echoid-s1258
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N1142A
"
xml:space
="
preserve
">次自三角形兩腰線引
<
lb
/>
長之</
s
>
<
s
xml:id
="
N1142F
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N11431
"
xml:space
="
preserve
">第二求</
s
>
<
s
xml:id
="
echoid-s1262
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N11437
"
xml:space
="
preserve
">其丁丙、引至丙乙圜界而止。</
s
>
<
s
xml:id
="
N1143A
"
xml:space
="
preserve
">為丙戊線。</
s
>
<
s
xml:id
="
N1143D
"
xml:space
="
preserve
">其丁甲、引之出丙乙圜外、稍長。</
s
>
<
s
xml:id
="
N11440
"
xml:space
="
preserve
">為甲己線。</
s
>
<
s
xml:id
="
N11443
"
xml:space
="
preserve
">末以丁為
<
lb
/>
心。</
s
>
<
s
xml:id
="
N11448
"
xml:space
="
preserve
">戊為界。</
s
>
<
s
xml:id
="
N1144B
"
xml:space
="
preserve
">作丁戊圜。</
s
>
<
s
xml:id
="
N1144E
"
xml:space
="
preserve
">其甲己線、與丁戊圜、相交於庚。</
s
>
<
s
xml:id
="
N11451
"
xml:space
="
preserve
">卽甲庚線、與乙丙線等。</
s
>
</
p
>
<
figure
xml:id
="
N11454
"
number
="
45
">
<
image
file
="
0045-01
"/>
<
variables
xml:id
="
N11455
"
xml:space
="
preserve
">丁乙戊己庚甲丙</
variables
>
</
figure
>
<
figure
xml:id
="
N11457
"
number
="
46
">
<
image
file
="
0045-02
"/>
<
variables
xml:id
="
N11458
"
xml:space
="
preserve
">丁甲乙庚戊丙</
variables
>
</
figure
>
<
p
xml:id
="
N1145A
">
<
s
xml:id
="
N1145B
"
xml:space
="
preserve
">論曰。</
s
>
<
s
xml:id
="
N1145E
"
xml:space
="
preserve
">丁戊、丁庚線。</
s
>
<
s
xml:id
="
N11461
"
xml:space
="
preserve
">同以丁為心。</
s
>
<
s
xml:id
="
N11464
"
xml:space
="
preserve
">戊、庚、為界。</
s
>
<
s
xml:id
="
N11467
"
xml:space
="
preserve
">故等。</
s
>
<
s
xml:id
="
N1146A
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N1146C
"
xml:space
="
preserve
">界說十五</
s
>
<
s
xml:id
="
echoid-s1279
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N11472
"
xml:space
="
preserve
">於丁戊線減丁丙。</
s
>
<
s
xml:id
="
N11475
"
xml:space
="
preserve
">丁庚線減丁甲。</
s
>
<
s
xml:id
="
N11478
"
xml:space
="
preserve
">其所減兩腰線
<
lb
/>
等。</
s
>
<
s
xml:id
="
N1147D
"
xml:space
="
preserve
">則所存亦等。</
s
>
<
s
xml:id
="
N11480
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N11482
"
xml:space
="
preserve
">公論四</
s
>
<
s
xml:id
="
echoid-s1286
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N11488
"
xml:space
="
preserve
">夫丙戊、與丙乙。</
s
>
<
s
xml:id
="
N1148B
"
xml:space
="
preserve
">同以丙為心。</
s
>
<
s
xml:id
="
N1148E
"
xml:space
="
preserve
">戊、乙、為界。</
s
>
<
s
xml:id
="
N11491
"
xml:space
="
preserve
">亦等。</
s
>
<
s
xml:id
="
N11494
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N11496
"
xml:space
="
preserve
">界說十五</
s
>
<
s
xml:id
="
echoid-s1293
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N1149C
"
xml:space
="
preserve
">卽甲庚、與丙乙等。</
s
>
<
s
xml:id
="
N1149F
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N114A1
"
xml:space
="
preserve
">公論一。</
s
>
<
s
xml:id
="
echoid-s1297
"
xml:space
="
preserve
">)</
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>