Euclides 歐幾里得
,
Ji he yuan ben 幾何原本
,
1966
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(七一
[71]
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of 399
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七一
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71
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rhead
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幾何原本 卷一
"
xlink:href
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http://libcoll.mpiwg-berlin.mpg.de/libview?url=/mpiwg/online/permanent/library/02NT95YF/pageimg&mode=imagepath&pn=93
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<
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">如前駁之。</
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<
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">第四十題</
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<
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<
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">其底等。</
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<
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">其形等。</
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<
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">必在兩平行線內。</
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153
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<
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">庚甲乙丙戊己丁辛</
variables
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<
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<
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">解曰。</
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<
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xml:id
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xml:space
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">甲乙丙、與丁戊己、兩角形之乙丙、與戊己、兩底等。</
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<
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xml:space
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">其形亦等。</
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">題言在
<
lb
/>
兩平行線內者。</
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<
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">葢云、自甲至丁、作直線。</
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">必與乙己平行。</
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">論曰。</
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">如云不然。</
s
>
<
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xml:space
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">令從甲、別作直線、與乙己平行。</
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>
<
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xml:id
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xml:space
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">(</
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>
<
s
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xml:space
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">本篇卅一</
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">)</
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">必在甲丁之上。</
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<
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">或在
<
lb
/>
其下矣。</
s
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<
s
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xml:space
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">設在上、為甲庚。</
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">而戊丁線、引出至庚。</
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<
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">卽作庚己直線。</
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<
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xml:id
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">是甲乙丙、宜
<
lb
/>
與庚戊己、兩角形等矣。</
s
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<
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<
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xml:id
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xml:space
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<
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xml:id
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xml:space
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">)</
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<
s
xml:id
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xml:space
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">夫甲乙丙、與丁戊己、旣等。</
s
>
<
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xml:id
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xml:space
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preserve
">而與庚戊己、復等。
<
lb
/>
</
s
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<
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xml:id
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">是全與其分等也。</
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<
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<
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xml:id
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">是辛戊己、與
<
lb
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丁戊己、亦等。</
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<
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">如前駁之。</
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<
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head
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<
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<
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<
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<
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<
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<
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<
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<
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<
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<
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<
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xml:id
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<
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<
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<
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xml:id
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">則甲丙丁與乙丁丙兩角形等矣。</
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<
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<
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<
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<
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<
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">倍大於甲
<
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丙丁。</
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<
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<
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<
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<
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