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
>
11
(一)
12
(二)
13
(一)
14
(二)
15
(三)
16
(四)
17
(五)
18
19
(一)
20
(二)
<
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
|<
<
(七八
[78]
)
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
="
N13644
"
level
="
4
"
n
="
46
"
type
="
problem
"
type-free
="
題
">
<
pb
n
="
100
"
file
="
0100
"
o
="
七八
"
o-norm
="
78
"
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=100
"/>
<
figure
xml:id
="
N1365A
"
number
="
162
">
<
image
file
="
0100-01
"/>
<
variables
xml:id
="
N1365B
"
xml:space
="
preserve
">丙丁甲乙</
variables
>
</
figure
>
<
p
xml:id
="
N1365D
">
<
s
xml:id
="
N1365E
"
xml:space
="
preserve
">法曰。</
s
>
<
s
xml:id
="
N13661
"
xml:space
="
preserve
">甲乙線上。</
s
>
<
s
xml:id
="
N13664
"
xml:space
="
preserve
">求立直角方形。</
s
>
<
s
xml:id
="
N13667
"
xml:space
="
preserve
">先於甲、乙、兩界、各立垂線。</
s
>
<
s
xml:id
="
N1366A
"
xml:space
="
preserve
">為丁甲、為丙乙。</
s
>
<
s
xml:id
="
N1366D
"
xml:space
="
preserve
">皆與
<
lb
/>
甲乙線等。</
s
>
<
s
xml:id
="
N13672
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N13674
"
xml:space
="
preserve
">本篇十一</
s
>
<
s
xml:id
="
echoid-s3640
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N1367A
"
xml:space
="
preserve
">次作丁丙線相聯。</
s
>
<
s
xml:id
="
N1367D
"
xml:space
="
preserve
">卽甲乙丙丁為直角方形。</
s
>
</
p
>
<
p
xml:id
="
N13680
">
<
s
xml:id
="
N13681
"
xml:space
="
preserve
">論曰。</
s
>
<
s
xml:id
="
N13684
"
xml:space
="
preserve
">甲、乙、兩角俱直角。</
s
>
<
s
xml:id
="
N13687
"
xml:space
="
preserve
">則丁甲、丙乙、為平行線。</
s
>
<
s
xml:id
="
N1368A
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N1368C
"
xml:space
="
preserve
">本篇廿八</
s
>
<
s
xml:id
="
echoid-s3648
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N13692
"
xml:space
="
preserve
">此兩線、自相等。</
s
>
<
s
xml:id
="
N13695
"
xml:space
="
preserve
">則丁丙。</
s
>
<
s
xml:id
="
N13698
"
xml:space
="
preserve
">與
<
lb
/>
甲乙、亦平行線。</
s
>
<
s
xml:id
="
N1369D
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N1369F
"
xml:space
="
preserve
">本篇三三</
s
>
<
s
xml:id
="
echoid-s3654
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N136A5
"
xml:space
="
preserve
">而甲乙丙丁四線。</
s
>
<
s
xml:id
="
N136A8
"
xml:space
="
preserve
">俱平行。</
s
>
<
s
xml:id
="
N136AB
"
xml:space
="
preserve
">俱相等。</
s
>
<
s
xml:id
="
N136AE
"
xml:space
="
preserve
">又甲、乙、俱直角。</
s
>
<
s
xml:id
="
N136B1
"
xml:space
="
preserve
">則相對
<
lb
/>
丁、丙亦俱直角。</
s
>
<
s
xml:id
="
N136B6
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N136B8
"
xml:space
="
preserve
">本篇卅四</
s
>
<
s
xml:id
="
echoid-s3662
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N136BE
"
xml:space
="
preserve
">而甲乙丙丁、定為四直角方形。</
s
>
</
p
>
</
div
>
<
div
xml:id
="
N136C1
"
level
="
4
"
n
="
47
"
type
="
problem
"
type-free
="
題
">
<
head
xml:id
="
N136C7
"
xml:space
="
preserve
">第四十七題</
head
>
<
p
indent
="
-1
"
xml:id
="
N136C9
">
<
s
xml:id
="
N136CB
"
xml:space
="
preserve
">凡三邊直角形。</
s
>
<
s
xml:id
="
N136CE
"
xml:space
="
preserve
">對直角邊上、所作直角方形。</
s
>
<
s
xml:id
="
N136D1
"
xml:space
="
preserve
">與餘兩邊上、所作兩直角方形幷、等。</
s
>
</
p
>
<
figure
xml:id
="
N136D4
"
number
="
163
">
<
image
file
="
0100-02
"/>
<
variables
xml:id
="
N136D5
"
xml:space
="
preserve
">庚己乙戊癸丁丙辛壬甲子</
variables
>
</
figure
>
<
p
xml:id
="
N136D7
">
<
s
xml:id
="
N136D8
"
xml:space
="
preserve
">解曰。</
s
>
<
s
xml:id
="
N136DB
"
xml:space
="
preserve
">甲乙丙角形。</
s
>
<
s
xml:id
="
N136DE
"
xml:space
="
preserve
">於對乙甲丙直角之乙丙邊上、作乙丙丁戊
<
lb
/>
直角方形。</
s
>
<
s
xml:id
="
N136E3
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N136E5
"
xml:space
="
preserve
">本篇四六</
s
>
<
s
xml:id
="
echoid-s3672
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N136EB
"
xml:space
="
preserve
">題言此形、與甲乙邊上、所作甲乙己庚、及甲丙
<
lb
/>
邊上、所作甲丙辛壬、兩直角方形幷。</
s
>
<
s
xml:id
="
N136F0
"
xml:space
="
preserve
">等。</
s
>
</
p
>
<
p
xml:id
="
N136F3
">
<
s
xml:id
="
N136F4
"
xml:space
="
preserve
">論曰。</
s
>
<
s
xml:id
="
N136F7
"
xml:space
="
preserve
">試從甲作甲癸直線。</
s
>
<
s
xml:id
="
N136FA
"
xml:space
="
preserve
">與乙戊丙丁平行。</
s
>
<
s
xml:id
="
N136FD
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N136FF
"
xml:space
="
preserve
">本篇卅一</
s
>
<
s
xml:id
="
echoid-s3680
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N13705
"
xml:space
="
preserve
">而平分乙丙
<
lb
/>
邊於子。</
s
>
<
s
xml:id
="
N1370A
"
xml:space
="
preserve
">次自甲至丁、至戊、各作直線。</
s
>
<
s
xml:id
="
N1370D
"
xml:space
="
preserve
">末自乙至辛、自丙至己、各
<
lb
/>
作直線。</
s
>
<
s
xml:id
="
N13712
"
xml:space
="
preserve
">其乙甲丙、與乙甲庚、旣皆直角。</
s
>
<
s
xml:id
="
N13715
"
xml:space
="
preserve
">卽庚甲、甲丙、是一直線。
<
lb
/>
</
s
>
<
s
xml:id
="
N13719
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N1371B
"
xml:space
="
preserve
">本篇十四</
s
>
<
s
xml:id
="
echoid-s3688
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N13721
"
xml:space
="
preserve
">依顯乙甲、甲壬、亦一直線。</
s
>
<
s
xml:id
="
N13724
"
xml:space
="
preserve
">又丙乙戊、與甲乙己、旣皆直角。
<
lb
/>
</
s
>
<
s
xml:id
="
N13728
"
xml:space
="
preserve
">而每加一甲乙丙角。</
s
>
<
s
xml:id
="
N1372B
"
xml:space
="
preserve
">卽甲乙戊、與丙乙己、兩角亦等。</
s
>
<
s
xml:id
="
N1372E
"
xml:space
="
preserve
">(</
s
>
<
s
xml:id
="
N13730
"
xml:space
="
preserve
">公論二</
s
>
<
s
xml:id
="
echoid-s3695
"
xml:space
="
preserve
">)</
s
>
<
s
xml:id
="
N13736
"
xml:space
="
preserve
">依顯 </
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>