此零非彼O臺灣商務印書館, 2006 - 353 σελίδες |
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Αποτελέσματα 1 - 5 από τα 87.
Σελίδα 5
... 證明「費瑪最後定理」的<懷爾斯不是天才! > ,還有首屆「阿貝爾獎」( Abel Prize )得主塞爾( Jean - Pierre Serre )的成就意義。此外,數學家究竟如何書寫自己社群的歷史?我想 John Stillwell 提供了一個範例——《數學與它的歷史》( Mathematics and Its ...
... 證明「費瑪最後定理」的<懷爾斯不是天才! > ,還有首屆「阿貝爾獎」( Abel Prize )得主塞爾( Jean - Pierre Serre )的成就意義。此外,數學家究竟如何書寫自己社群的歷史?我想 John Stillwell 提供了一個範例——《數學與它的歷史》( Mathematics and Its ...
Σελίδα 8
... 證明為例..... 216 在香港發現劉徽:劉徽注的數學證明意義 243 第五輯.271 ·數學課程的文化衝擊 273 ·從古今翻譯看數學文化交流 282 懷爾斯不是天才! 310 從挪威阿貝爾到法國塞爾:漫談阿貝爾獎數學家書寫歷史:兼評 John Stillwell 的《數學與 314 此零非彼 ...
... 證明為例..... 216 在香港發現劉徽:劉徽注的數學證明意義 243 第五輯.271 ·數學課程的文化衝擊 273 ·從古今翻譯看數學文化交流 282 懷爾斯不是天才! 310 從挪威阿貝爾到法國塞爾:漫談阿貝爾獎數學家書寫歷史:兼評 John Stillwell 的《數學與 314 此零非彼 ...
Σελίδα 8
... 證明,改寫成代數符號,如此大概就很容易瞭解命題的意思了。假設這兩個「幾何量」(譬如「兩個線段」好了)分別為 a , b , a > b ,那麼,經過「輾轉相減」,得 a = pb + c , b = qc + d , c = rd + e ......等等。如果,此一步驟無法終止,也就是說,餘項始終不為 0 ...
... 證明,改寫成代數符號,如此大概就很容易瞭解命題的意思了。假設這兩個「幾何量」(譬如「兩個線段」好了)分別為 a , b , a > b ,那麼,經過「輾轉相減」,得 a = pb + c , b = qc + d , c = rd + e ......等等。如果,此一步驟無法終止,也就是說,餘項始終不為 0 ...
Σελίδα 8
... 證明兩正整數「互質」( prime to one another )。請看底下的引文:第一題:兩不等數,輾轉相減,餘一而止,則為兩無等數之數。( Proposition 1. Two unequal numbers being set out , and the less being continually subtracted in turn from the greater ...
... 證明兩正整數「互質」( prime to one another )。請看底下的引文:第一題:兩不等數,輾轉相減,餘一而止,則為兩無等數之數。( Proposition 1. Two unequal numbers being set out , and the less being continually subtracted in turn from the greater ...
Σελίδα 9
... 證明策略「翻譯」改寫一下。模仿歐幾里得的《幾何原本》第十卷第二命題之證明, Chrystal 先利用「邊」 BC 為「尺」去度量「對角線」 AC ,結果剩下「量不盡」的 CF。其次,再以這一個 CF 為「尺」去度量 BC ,結果去掉 BE 之後,還剩下 CE 「量不盡」。現在 ...
... 證明策略「翻譯」改寫一下。模仿歐幾里得的《幾何原本》第十卷第二命題之證明, Chrystal 先利用「邊」 BC 為「尺」去度量「對角線」 AC ,結果剩下「量不盡」的 CF。其次,再以這一個 CF 為「尺」去度量 BC ,結果去掉 BE 之後,還剩下 CE 「量不盡」。現在 ...
Δημοφιλή αποσπάσματα
Σελίδα 289 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles...
Σελίδα 220 - FC is equal* to the base GB, and the triangle AFC to the triangle AGB; and the remaining angles of the one are equal * to the remaining angles of the other, each to each, to which the equal sides are opposite; viz. the angle ACF to the angle ABG, and the angle AFC to the angle AGB...
Σελίδα 30 - ... legislation may fitly prescribe; and we must endeavour to persuade those who are to be the principal men of our State to go and learn arithmetic, not as amateurs, but they must carry on the study until they see the nature of numbers with the mind only; nor again, like merchants or...
Σελίδα 289 - Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction.
Σελίδα 244 - ... with a view to buying or selling, but for the sake of their military use, and of the soul herself; and because this will be the easiest way for her to pass from becoming to truth and being.
Σελίδα 223 - PROPOSITION 4 // two triangles have the two sides equal to two sides respectively, and have the angles contained by the equal straight lines equal, they will also have the base equal to the base, the triangle will be equal to the triangle, and the remaining angles will be equal to the remaining angles respectively, namely those which the equal sides subtend.
Σελίδα 221 - CGB, and the remaining angles will be equal to the remaining angles respectively, namely those which the equal sides subtend; therefore the angle FBC is equal to the angle GCB, and the angle BCF to the angle CBG.
Σελίδα 216 - In isosceles triangles, the angles at the base are equal to one another, and, if the equal straight lines be produced further, the angles under the base will be equal to one another.
Σελίδα 291 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. 3. If equals be taken from equals the remainders are equal.
Σελίδα 31 - I was saying, that arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument.