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Giovanni Gherardi

Giovanni Gherardi is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Giovanni Gherardi rather than just read about it. In short: Giovanni di Gherardo da Prato, or Giovanni Gherardi (Prato, 1360/1367 – before 1446), was an Italian jurist, mathematician, writer and humanist. Biography Gherardo's father was a second-hand dealer; his grandfather Bartolo, as shown by the title of "ser", had practiced the profession of notary.

Giovanni Gherardi — main illustration
Giovanni Gherardi — illustration

Key takeaways

  • Giovanni Gherardi belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Giovanni Gherardi to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Giovanni Gherardi from memory before moving on to harder problems.

Reference excerpt

Giovanni di Gherardo da Prato, or Giovanni Gherardi (Prato, 1360/1367 – before 1446), was an Italian jurist, mathematician, writer and humanist.

Biography Gherardo's father was a second-hand dealer; his grandfather Bartolo, as shown by the title of "ser", had practiced the profession of notary. He studied law in Padua where he also followed the lessons of Biagio Pelacani, a well-known philosopher and mathematician. Having settled in Florence, he began working as a judge and notary while taking a keen interest in literary studies. From 1414 he was legal consultant and archivist of Orsanmichele. In 1417 he taught courses on Dante's works at the Florentine Studio until the teaching position was discontinued in 1425. In that period he wrote the novel entitled Paradiso degli Alberti, named after a famous villa near Florence. In 1420, he was appointed deputy administrator of the dome of Santa Maria del Fiore in Florence, serving as Lorenzo Ghiberti's assistant and a fierce rival of the other administrator, Filippo Brunelleschi. In a parchment from 1426, preserved in the State Archives of Florence, he criticized several of Filippo's decisions through both drawings and writings. His critiques included issues like the insufficient interior lighting and the sharp curvature of the dome's vaults, referred to as the acute fifth (or sixth). He also opposed the "rippled" inclination of the brick-laying beds, arguing that they should be aligned with the center of the monument, rather than following the acute fifth curvature. According to him, these flaws posed a serious risk of causing the monument's collapse. To dissuade others from supporting what he believed to be a "misguided" project, he pointed out that "the Cathedral of Siena collapsed... for having trusted someone without proper knowledge." Indeed, the unfinished structures of the Siena Cathedral, which were planned to be much larger than the current one, are still visible today as a reminder of that failure. Giovanni's document is particularly important also because it is the only graphic testimony with technical commentary of the great work in progress. The contrast between the two is also demonstrated by an exchange of poetic compositions written in a Burchiellesque tone on the occasion of the dispute over a vessel for the transport of stones by river, patented by Filippo in 1421: on that occasion the "ship" (name which was given to cargo boats operating in the Arno) driven by (mechanical) propellers moved by wind energy, devices and mechanisms specially invented by Brunelleschi. The "ship" took the name of "Badalone". This was short-lived because a few months after its launch, a flood destroyed it and caused it to run aground near Montelupo, losing part of the materials it was transporting in 1428. Brunelleschi himself attempted to recover it in vain. There is a copy of this mechanical ship attributed to Leonardo da Vinci on the basis of which the prof. Massimo Ricci has created a working model. The model is currently located in the premises of the Opera del Duomo of Florence in Piazza San Giovanni together with three Brunelleschi machines for the construction of the Lantern of the Dome of Santa Maria del Fiore.

Literary works As a disciple of Cino Rinuccini, he was also the author of various poems, including Gioco d'Amore II, the Treatise on an Angelic Thing Shown for a Most Devout Vision (written in the form of a mystical polymeter), a two-book allegorical poem in imitation of Dante, and an unfinished work titled Philomena. The manuscript of Philomena is preserved in the National Central Library of Florence, cataloged as ms. Magliabechiano VII, 702. A prose work consisting of five books has been attributed to him where, in imitation of Boccaccio's Filocolo, short stories, mythological stories, descriptions of Tuscan landscapes, imagined journeys and conversations held in the spring of 1389 by a cultured brigade are narrated at the Villa del Paradiso in the village of Bandino by Antonio Alberti. The work was rediscovered in 1864 by Aleksander Wesselofsky who identified its author and gave him the title Paradiso degli Alberti; the first publication of the work was his (1867–69), accompanied by a vast critical apparatus. The poem L'Acquettino was composed against Giovanni da Prato around 1406. The character of Giovanni da Prato appears with Antonio Alberti in the guesthouse of the Convento del Paradiso in Lorenzo Andreaggi's film trabocchetti del Bandino I, played by Niccolò Biffoli.

References

Illustrations

Giovanni Gherardi illustration

Worked examples

Example 1 — a first encounter with Giovanni Gherardi

Start with the simplest possible case. Write down what Giovanni Gherardi claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Giovanni Gherardi before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Giovanni Gherardi ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Giovanni Gherardi

In research
Giovanni Gherardi appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Giovanni Gherardi in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Giovanni Gherardi is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1360s births, 14th-century Italian jurists, 15th-century Italian jurists, so understanding it makes those chapters shorter.
In everyday life
Look for Giovanni Gherardi outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Giovanni Gherardi in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Giovanni Gherardi means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Giovanni Gherardi out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Giovanni Gherardi in simple terms?

Giovanni di Gherardo da Prato, or Giovanni Gherardi (Prato, 1360/1367 – before 1446), was an Italian jurist, mathematician, writer and humanist. Biography Gherardo's father was a second-hand dealer; his grandfather Bartolo, as shown by the title of "ser", had practiced the profession of notary.

Why does Giovanni Gherardi matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Giovanni Gherardi?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Giovanni Gherardi.

Tags

  • 1360s births
  • 14th-century Italian jurists
  • 15th-century Italian jurists
  • Italian humanists
  • Italian mathematicians
  • Italian writers

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