The most exciting thing of this article is Recorde’s method (Page 273) that aroused curiosity in my mind to understand and explore the technique of multiplication. It seems the easiest and neat way of multiplication using base 10. Due to interest, I worked with a few questions on my own (examples in the picture above). While working on questions, I found that if you got the two-digit number by multiplying the right side number (top with bottom), then you can get the final answer by subtracting the left digit of two-digit numbers with the difference of the diagonals. I am not sure whether they were using the same method to solve these problems, but it is a fascinating aspect.
I like the
thought of comparing education with the first 35 years of human’s life in the
quote when the author said, “He would have the first twenty years spent on
gymnastics, music, and grammar, the next ten on arithmetic, geometry,
astronomy, and harmony, and the next five on philosophy.” (Page 264). I can
elaborate on this quote by using my life experience. As my experience, I
understand that people are energetic and had much more potential to learn and
explore different things during the first 20 years. After that, they become a
subconscious about their career and start to think about their family and then
they became mature enough to handle the family and social stress.
The last quote
that shocked me is about getting a master’s degree in universities during that
time. The quote, “There were no examinations in the modern sense of the term.
The student had to swear that he had read the books prescribed and attended the
lectures. To qualify for a degree, he was required to participate in public
disputations, either defending a proposition or opposing one defended by
another student.” (Page 272) made me think that there was trust among the
people; that is why the authorities just gave the master’s degree to the
students on the swear that they had fulfilled all the requirements. It also
made me wonder that there was no place of content in the education system.

Amrit, I'm glad that you tried out Recorde's method. Your theory for double digits makes absolute sense, especially if we keep the diagonally left to right cross-subtraction and the negative difference.
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