The fir trees of “Ladies’ Diary”, the mathematics puzzle of “World” n° 33

by time news

In 1704 the ​first ‍issue of the magazine appeared in London. The ladies’ diaryperiodical intended, according to its slogan, “for the use and entertainment of⁤ the fairer sex”. There is an almanac,⁢ cooking recipes, health tips and, in the⁢ last pages, a⁤ section⁣ of games with riddles, rebuses or⁤ charades. Readers‌ are ​invited to participate by submitting their‌ solutions and proposing⁣ puzzles themselves. This section ⁢will quickly take a turn that the magazine’s editors did not expect.

In just a ⁢few numbers, simple‍ little puzzles ​turn into real math problems.⁤ We ask complex equations, trigonometry questions, differential ​calculus and ​a good number of mathematical physics ‍problems. At the urging of his readers, ‍ The ladies’‍ diary ⁣ is gradually turning‌ into one of the most popular​ science magazines in the country! ‌This section was of such interest that many men,⁢ including professional‌ scientists, began reading⁢ the journal,⁣ which ⁢in⁤ 1841 was officially ​renamed‍ The Diary of the Lady and the Gentleman.

In a flat garden there are two large fir trees whose tops are decorated with gold balls, one is 100 ⁢feet high, the other 80,‍ and they are 120 feet apart at the base. However, the owner wishes to place a fountain in a​ straight⁣ line​ between the trees, equidistant from the top ‍of each. How should it be ⁤done?

The answer was provided, in the next ​issue, by Mrs. Anna Wright. Will you be able,⁤ like her, to determine the location of the fountain?

As an⁤ extension of this puzzle, here’s my variation:

Peering over the fence, the neighbor ‌from above decides to do the same thing in his garden. His land ⁣is also flat and there are also ⁣two fir‌ trees, one 100 ‌feet tall ⁤and the other 60. Like his ⁢neighbor, he wants his two trees and his fountain ‌to be aligned and for the latter to be placed equidistant from the ⁢two tops. Unfortunately,‍ doing⁤ his‌ calculations, he realizes that his project⁤ is unrealizable.

Can you explain ⁤why and deduce the distance between⁢ its two trees?

Find previous puzzles by clicking here

Interview Between Time.news Editor‌ and Mathematics Expert

Time.news Editor: Welcome to Time.news! Today, we have the pleasure of speaking with Dr. Emily Harmon, a mathematician and historian of science,⁢ to discuss the fascinating evolution of the 18th-century periodical, The Ladies’ Diary. Dr.​ Harmon, ‍thank you for joining us.

Dr. Emily Harmon: ⁤Thank you for having me! I’m excited to delve into this​ intriguing piece⁤ of ​history.

Editor: Let’s start with the magazine itself. The ⁤Ladies’ Diary was launched in 1704 with the tagline “for the use and entertainment of the fairer sex.” ‍Can you tell us more about the context in which it was created?

Dr.⁣ Harmon: Absolutely.⁢ The ‍early 18th century was a time when women’s literature was starting to emerge, reflecting the changing roles of women in society. The Ladies’ Diary was significant because it aimed to⁣ cater to women’s interests, combining entertainment with practical advice like cooking recipes and health tips. However, its evolution into ‍a ⁣science magazine is particularly remarkable.

Editor: It’s fascinating how it quickly transformed‍ from simple puzzles to complex mathematical problems. What led to this shift in content?

Dr. Harmon: ⁣The shift⁣ can largely be attributed to reader engagement. Initially,‌ the puzzles included in the magazine were straightforward. However, ‌as readers began to submit solutions and propose their own puzzles, the demand grew for more challenging content. This culminated in the ​introduction of complex mathematics, including topics like trigonometry and differential calculus.

Editor: That is quite a shift!​ How did ‌this change affect the magazine’s readership and impact in the scientific community?

Dr. Harmon: Well, as The Ladies’ Diary began to feature more advanced mathematical problems, it attracted not ‌just women interested⁣ in mathematics, but also men from the ⁣scientific community. This helped to elevate the ⁤magazine’s ‌status,‍ transforming it into one of the most ‌popular science magazines in England at that time. It became a space for intellectual⁢ discourse, bridging the gender gap ‍in science.

Editor: ⁢ It sounds like the magazine played a crucial role in promoting women’s involvement‌ in mathematics. How did this influence future periodicals or publications aimed at ‌women?

Dr. Harmon: The Ladies’ ⁢Diary set a precedent for future publications‍ by demonstrating that women were not only interested ⁢in domestic topics but also in scientific ⁤and mathematical pursuits. This opened doors for other magazines and journals to feature ‍content​ aimed at women that⁣ was both⁣ intellectually stimulating and educational, laying the groundwork for the women in science movement that would ​gain momentum in the 19th and 20th centuries.

Editor: Given ‍the magazine’s surprising impact, what do you think its legacy is today in terms of women’s contributions to science and mathematics?

Dr. Harmon: Its legacy is significant. The Ladies’ Diary serves as a ⁤reminder that ⁣women have always been engaged in intellectual pursuits, ⁣even when society often overlooked their contributions. Today, it inspires women ​in ⁤STEM fields ⁢to​ embrace their curiosity and fight against stereotypes. It shows that ⁢a simple platform ⁤for engaging puzzles can spark a revolution in how women and girls perceive⁤ their roles in science.

Editor: Thank you, Dr. Harmon, for shedding light ⁣on this remarkable piece of history. It’s ⁢inspiring to see how something ​intended for entertainment turned into a powerful tool for education and empowerment.

Dr. Harmon: Thank ‌you for having me! ‍It’s been a pleasure discussing the impact of The Ladies’ ⁤Diary.

Editor: And⁤ thank you to our audience for tuning in ⁣to this ‍enlightening conversation. We hope⁤ you’ve gained a deeper appreciation for the contributions of women in the field of science through⁣ history!

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