Euclides 歐幾里得
,
Ji he yuan ben 幾何原本
,
1966
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21
(一)
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23
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(二)
25
(三)
26
(四)
27
(五)
28
(六)
29
(七)
30
(八)
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幾何原本 卷一
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<
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<
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">非直角。</
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<
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85
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<
p
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<
s
xml:id
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xml:space
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">解曰。</
s
>
<
s
xml:id
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xml:space
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">甲線、下至丙丁線。</
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>
<
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xml:space
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s
>
<
s
xml:id
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xml:space
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">其甲乙丙、與甲乙丁、作兩角。</
s
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<
s
xml:id
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xml:space
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<
lb
/>
是直角。</
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<
s
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s
>
<
s
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">卽是一銳一鈍。</
s
>
<
s
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xml:space
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">而幷之等於兩直角。</
s
>
</
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<
p
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<
s
xml:id
="
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xml:space
="
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">論曰。</
s
>
<
s
xml:id
="
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"
xml:space
="
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">試於乙上作垂線、為戊乙。</
s
>
<
s
xml:id
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xml:space
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">(</
s
>
<
s
xml:id
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xml:space
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">本篇十一</
s
>
<
s
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echoid-s1888
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xml:space
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">)</
s
>
<
s
xml:id
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xml:space
="
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">令戊乙丙、與戊乙丁、為兩直角。</
s
>
<
s
xml:id
="
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xml:space
="
preserve
">卽甲乙
<
lb
/>
丁、甲乙戊、兩銳角。</
s
>
<
s
xml:id
="
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"
xml:space
="
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">幷之與戊乙丁直角等矣。</
s
>
<
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xml:id
="
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xml:space
="
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">次於甲乙丁、甲乙戊、兩銳角。</
s
>
<
s
xml:id
="
N11D78
"
xml:space
="
preserve
">又
<
lb
/>
加戊乙丙一直角。</
s
>
<
s
xml:id
="
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xml:space
="
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">幷此三角。</
s
>
<
s
xml:id
="
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xml:space
="
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">定與戊乙丙、戊乙丁、兩直角等也。</
s
>
<
s
xml:id
="
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xml:space
="
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">(</
s
>
<
s
xml:id
="
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xml:space
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">公論十八</
s
>
<
s
xml:id
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">)</
s
>
<
s
xml:id
="
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xml:space
="
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">次於甲
<
lb
/>
乙戊、又加戊乙丙。</
s
>
<
s
xml:id
="
N11D90
"
xml:space
="
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">幷此銳、直、兩角。</
s
>
<
s
xml:id
="
N11D93
"
xml:space
="
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">定與甲乙丙鈍角等也。</
s
>
<
s
xml:id
="
N11D96
"
xml:space
="
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">次於甲乙戊、戊乙
<
lb
/>
丙銳、直、兩角。</
s
>
<
s
xml:id
="
N11D9B
"
xml:space
="
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">又加甲乙丁銳角。</
s
>
<
s
xml:id
="
N11D9E
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xml:space
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">幷此三角。</
s
>
<
s
xml:id
="
N11DA1
"
xml:space
="
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">定與甲乙丁、甲乙丙、銳、鈍、兩角等
<
lb
/>
也。</
s
>
<
s
xml:id
="
N11DA6
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xml:space
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">夫甲乙丁、甲乙戊、戊乙丙、三角、旣與兩直角等。</
s
>
<
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xml:id
="
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">則甲乙丁。</
s
>
<
s
xml:id
="
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xml:space
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">與甲乙丙、兩角。
<
lb
/>
</
s
>
<
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xml:id
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xml:space
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">定與兩直角等。</
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<
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<
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>
<
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<
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head
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<
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-1
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s
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s
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<
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<
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<
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<
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直線。</
s
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</
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<
p
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<
s
xml:id
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">解曰。</
s
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<
s
xml:id
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">甲乙線。</
s
>
<
s
xml:id
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s
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<
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<
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<
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xml:id
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