Jia Xian has already completed all the relationships of the Pythagorean triples and their sums and differences, and has moved beyond the problems in the "Nine Chapters" to conduct an abstract analysis of the Pythagorean theorem.
Yet the diagram drawn by Xu Yun not only closely resembles his ideas but is even more vivid and concise than the concepts he proposed!
Looking at the stunned expression on Jia Xian's face, Xu Yun couldn't help but let out a sigh of relief:
It seems that he had successfully 'invoked the divine'.
Seeing this.
Many students must have already understood the origin of Xu Yun's drawing:
Indeed.
It is the "asuring Circle Sea Mirror"!
"asuring Circle Sea Mirror".
This is a mathematical masterpiece written by the mathematician Li Ye during the Jin Yuan Period, also known as the renowned Celestial Essence Skill.
Early in the year 1234.
Li Ye obtained a mathematics book from Dongyuan at Tongchuan, in which there was the theory of the Nine Guests.
Li Ye then combined the findings of Dongyuan and Jia Xian to compile the Pythagorean circle theorem into a complete system.
Moreover, more crucially.
After the "asuring Circle Sea Mirror", Li Ye, based on the Pythagorean circle theorem, proposed the problem of the half-segnt yellow square power.
Yes.
Half-segnt yellow square power.
Which is the prototype of the paraxial approximation....
Of Kirchhoff's diffraction formula!
After drawing the dividing lines.
Xu Yun took Old Su's lens and placed it upright at the center of the inscribed circle he had drawn.
He then pointed to the 'Qing' line within and said to Jia Xian:
"Look."
At this mont.
Under the effect of the lens refraction, a visible deflection has appeared on the 'Qing' line both inside and outside the lens!
Then Xu Yun wrote a 'Tian' outside the Qing line, removed the lens, and wrote a 'Di' on the Qing line where the deflection had occurred inside.
Then he continued to write:
Assu the bottom position of the Qing line is Xuan, and the deflected end is Huang.
The positions relative to the circle are Hong and Huang, respectively.
Then we have:
Tian=¿Di.
Xinbei²=Xuan² (Hong-Huang)² (Hong-Shanxin)².
anwhile:
(δ/2Xuan)Hong² Huang² is much smaller than the circumference rate.
(Hong Hong)×δ=Xinbei×??(Huang Xin朱)×?=Hong-Shanxin×?.
After writing this, Xu Yun said to Jia Xian:
"Mr. Tongyu, this is a certain deflection solution passed down by my predecessors, but several unknown symbols and deduction thods within it are unknown.
Moreover, this kind of solution is necessary for the preparation of a certain item, so I can only ask sir to co, hoping you can lend a hand."
Jia Xian was silent for a mont, then looked at the lens on the table again and said:
"Wang Lin, the third solution in the 'Shao Guang' chapter has been my lifelong wish. Originally, I thought no one would solve it before I died, but today you have given an extraordinary surprise.
The ancients said.
If in the morning you hear the Way, in the evening you can die content.
My gratitude for dispelling confusion is imnse, and I shall never forget it. Previously I called you a fragnt dog, that was just a montary outburst.
Now, even if just to repay this kindness, regarding the lens formula, I absolutely will not shirk any responsibility.
However, Wang Lin,
Regarding lenses, I have never ventured into it, so I cannot guarantee any results. I can only do my best and leave it to the Celestial Mandate.
If I cannot solve this problem, I will divide half of my family estate with you as a reward."
Xu Yun was taken aback by this and imdiately broke into a cold sweat.
Oh my.
This boss is astonishingly straightforward, does it an that in ancient tis people gave pensions at the drop of a hat?
So he quickly said:
"Mr. Tongyu, you overstatent, your willingness to help is already more than I could ask for. Please do not ntion the reward again."
Jia Xian looked at him but said nothing, instead turning to Old Su and bowed:
"Brother Zirong, could I borrow so paper and pen?"
Old Su smiled and returned the gesture to his old friend:
"Mr. Tongyu, feel free to use as you wish."
Jia Xian nodded at this, walked to the table, and was just about to start calculating.
But just at that mont.
The voice of Mr. Xie suddenly ca from outside:
"Sir, Mr. Yang Huai, Mr. Jinqu, and others have arrived at the courtyard."
....
Note:
This afternoon I chatted with a certain old dove, he plans to start a new book, but it turns out he hadn't logged in for too long and forgot the password to his writer account, hahaha.
Also, writing this chapter exhausted , purely original deduction....
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