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Roger Joseph Boscovich

Roger Joseph Boscovich 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 Roger Joseph Boscovich rather than just read about it. In short: Roger Joseph Boscovich (18 May 1711 – 13 February 1787) was a physicist, astronomer, mathematician, philosopher, diplomat, poet, theologian, Jesuit priest, and a polymath from the Republic of Ragusa. He studied and lived in Italy and France where he also published many of his works.

Roger Joseph Boscovich — main illustration
Roger Joseph Boscovich — illustration

Key takeaways

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

Reference excerpt

Roger Joseph Boscovich (18 May 1711 – 13 February 1787) was a physicist, astronomer, mathematician, philosopher, diplomat, poet, theologian, Jesuit priest, and a polymath from the Republic of Ragusa. He studied and lived in Italy and France where he also published many of his works. Boscovich produced a precursor of atomic theory and made many contributions to astronomy, including the first geometric procedure for determining the equator of a rotating planet from three observations of a surface feature and for computing the orbit of a planet from three observations of its position. In 1753 he also discovered the absence of an atmosphere on the Moon.

Biography

Early years Boscovich was born on 18 May 1711 in Dubrovnik, Republic of Ragusa, to Paola Bettera (1674–1777), daughter of a local nobleman of Italian origin, and Nikola Bošković, a Ragusan merchant. Boscovich's father was an ethnic Croat (some sources say Serb). He was baptised on 26 May 1711 by Marinus Carolis, curatus et sacristia. The name Ruđer/Ruggiero may have been given to him because both his maternal great-grandfather, Agostino Bettera, and his mother's brother were called Ruggiero; his godfather was his uncle, Ruggiero Bettera. He was the seventh child of the family and the second youngest. His father was born in the village of Orahov Do near Ravno, at the time part of the Ottoman Empire (now Bosnia and Herzegovina). His uncle, Don Ilija Bošković, was killed by Uskok bandits while celebrating Mass in 1692. While his father, Nikola, had once been a prolific trader who traveled through the Ottoman Empire, Ruđer only knew him as a bedridden invalid; he died when his son was 10 years old. Boscovich's mother Paola, nicknamed "Pavica", was a member of a cultivated Italian merchant family established in Dubrovnik in the early 17th century, when her ancestor, Pietro Bettera, settled from Bergamo in northern Italy. She was described as a robust and active woman with a happy temperament who lived to 103. Paola Bettera Bošković left nothing in writing but her sister wrote poetry in Italian. Ruđer's cousins and playmates, Antun Bošković and Franjo Bošković, grew up into good Latinists. His brothers and sisters were all older than himself, except his sister Anica Bošković (1714–1804), two years his junior. His eldest sister, Mare Bošković, nineteen years his senior, was the only member of the family to marry. His second sister, Marija Bošković, became a nun in the Ragusa Convent of St Catherine. His eldest brother, Božo Bošković (Boško, called Natale by Roger in private correspondence), thirteen years older, joined the service of the Ragusa Republic. Another brother, Bartolomej Bošković, born in 1700 and educated at the Jesuit school in Dubrovnik, left home when Ruđer was 3 to become a scholar and a Jesuit priest in Rome. He also wrote verse in both Latin and "Illyrian" (the Renaissance era name for Serbo-Croatian), but eventually burnt some of his manuscripts out of a scrupulous modesty. Another brother, Ivan (Đivo) Bošković, became a Dominican in a sixteenth-century monastery in Dubrovnik, whose church Ruđer knew as a child with its rich treasures and paintings by Titian and Vasari, still there today. Another brother, Petar (Pero) Bošković, six years his senior, became a poet like his grandfather. He was schooled by the Jesuits, then served as an official of the Republic and made his reputation as a translator of Ovid, Corneille's Cid, and of Molière. A volume of his religious verse, Hvale Duhovne, was published in Venice in 1729. At the age of 8 or 9, after acquiring the rudiments of reading and writing from Father Nicola Nicchei of the Church of St Nicholas, Ruđer was sent for schooling to the local Jesuit Collegium Ragusinum. During his early studies, Boscovich showed a distinct propensity for further intellectual development. He gained a reputation at school for having an easy memory and a quick, deep mind. On 16 September 1725, Ruđer Bošković left Dubrovnik for Rome. He was in the care of two Jesuit priests who took him to the Society of Jesus, famous for its education of youth and at that time having some 800 establishments and 200,000 pupils under its care throughout the world. We learn nothing from Bošković himself until the time he entered the novitiate in 1731, but it was the usual practice for novices to spend the first two years not in the Collegium Romanum but in Sant'Andrea delle Fratte. There, he studied mathematics and physics; and so quick was his progress in these sciences that in 1740 he was appointed professor of mathematics in the college. He was especially appropriate for this post due to his acquaintance with recent advances in science, and his skill in a classical severity of demonstration, acquired by a thorough study of the works of the Greek geometers. Several years before this appointment he had made a name for himself with a solution of the problem of finding the Sun's equator and determining the period of its rotation by observation of the spots on its surface.

Middle years Notwithstanding the arduous duties of his professorship, he found time for investigation in various fields of physical science, and he published a very large number of dissertations, some of them of considerable length. Among the subjects were the transit of Mercury, the Aurora Borealis, the figure of the Earth, the observation of the fixed stars, the inequalities in terrestrial gravitation, the application of mathematics to the theory of the telescope, the limits of certainty in astronomical observations, the solid of greatest attraction, the cycloid, the logistic curve, the theory of comets, the tides, the law of continuity, the double refraction micrometer, and various problems of spherical trigonometry. In 1742, he was consulted, with other men of science, by Pope Benedict XIV, as to the best means of securing the stability of the dome of St. Peter's, Rome, in which a crack had been discovered. His suggestion of placing five concentric iron bands was adopted.

… excerpt ends here. Continue reading the full article.

Illustrations

Roger Joseph Boscovich illustration
Roger Joseph Boscovich: French translation of Bošković's De solis ac lunae defectibus
French translation of Bošković's De solis ac lunae defectibus
Roger Joseph Boscovich: The first page of figures from Theoria Philosophiæ Naturalis from 1763. Figure 1 is the force curve which received so much attention from later natural philosophers such as Joseph Priestley, Humphry Davy, and Michael Faraday. The ordinate is force, with positive values being repulsive, and the abscissa is radial distance. Newton's gravitational attractive force is clearly seen at the far right of figure 1.
The first page of figures from Theoria Philosophiæ Naturalis from 1763. Figure 1 is the force curve which received so much attention from later natural philosophers such as Joseph Priestley, Humphry Davy, and Michael Faraday. The ordinate is force, with positive values being repulsive, and the abscissa is radial distance. Newton's gravitational attractive force is clearly seen at the far right of figure 1.
Roger Joseph Boscovich illustration
Roger Joseph Boscovich illustration

Worked examples

Example 1 — a first encounter with Roger Joseph Boscovich

Start with the simplest possible case. Write down what Roger Joseph Boscovich 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 Roger Joseph Boscovich 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 Roger Joseph Boscovich 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 Roger Joseph Boscovich

In research
Roger Joseph Boscovich 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 Roger Joseph Boscovich 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
Roger Joseph Boscovich is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1711 births, 1787 deaths, 18th-century Croatian Jesuits, so understanding it makes those chapters shorter.
In everyday life
Look for Roger Joseph Boscovich 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 Roger Joseph Boscovich in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Roger Joseph Boscovich 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 Roger Joseph Boscovich out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Roger Joseph Boscovich in simple terms?

Roger Joseph Boscovich (18 May 1711 – 13 February 1787) was a physicist, astronomer, mathematician, philosopher, diplomat, poet, theologian, Jesuit priest, and a polymath from the Republic of Ragusa. He studied and lived in Italy and France where he also published many of his works.

Why does Roger Joseph Boscovich 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 Roger Joseph Boscovich?

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 Roger Joseph Boscovich.

Tags

  • 1711 births
  • 1787 deaths
  • 18th-century Croatian Jesuits
  • 18th-century Croatian poets
  • 18th-century Italian Jesuits
  • 18th-century Italian Roman Catholic theologians
  • 18th-century Italian astronomers
  • 18th-century Italian male poets
  • 18th-century Italian mathematicians
  • 18th-century Italian philosophers
  • 18th-century Italian physicists
  • 18th-century Italian poets

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