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Journal articles on the topic 'Torricelli'

Author: Grafiati

Published: 6 December 2022

Last updated: 9 March 2023

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1

Robinson, Philip J. "Evangelista Torricelli." Mathematical Gazette 78, no. 481 (1994): 37. http://dx.doi.org/10.2307/3619429.

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2

ORMAN, BRYAN A. "Torricelli Revisited." Teaching Mathematics and its Applications 12, no. 3 (1993): 124–29. http://dx.doi.org/10.1093/teamat/12.3.124.

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3

Adeeyo, Opeyemi Adewale, Samuel Sunday Adefila, and Augustine Omoniyi Ayeni. "Dynamics of Steady-State Gravity-Driven Inviscid Flow in an Open System." International Journal of Innovative Research and Scientific Studies 6, no. 1 (2022): 80–88. http://dx.doi.org/10.53894/ijirss.v6i1.1101.

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Various factors can be responsible for the flow of incompressible fluid under gravity. Torricelli's theorem gives the relationship between the efflux velocity of an incompressible, gravity-driven flow from an orifice and the height of liquid above it. The concept of the original derivation of Torricelli’s theorem is limited in application because of certain inherent assumptions in the method of derivation. An alternate method of derivation is the use of Bernoulli’s principle. However, its result tends towards Torricelli’s flow only with some assumptions. In this study, an inherent assumption w

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4

Mazauric, Simone. "De Torricelli à Pascal." Philosophia Scientae, no. 14-2 (October 1, 2010): 1–44. http://dx.doi.org/10.4000/philosophiascientiae.172.

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5

Rougier, Louis. "De Torricelli à Pascal." Philosophia Scientae, no. 14-2 (October 1, 2010): 45–50. http://dx.doi.org/10.4000/philosophiascientiae.174.

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6

Hager, Willi H. "Diskussionsbeitrag: Torricelli hat Recht." WASSERWIRTSCHAFT 111, no. 7-8 (2021): 74. http://dx.doi.org/10.1007/s35147-021-0869-5.

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7

Clanet, C. "Clepsydrae, from Galilei to Torricelli." Physics of Fluids 12, no. 11 (2000): 2743. http://dx.doi.org/10.1063/1.1310622.

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8

Verriest, Erik I. "Variations on Fermat-Steiner-Torricelli." IFAC-PapersOnLine 55, no. 30 (2022): 218–23. http://dx.doi.org/10.1016/j.ifacol.2022.11.055.

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9

Epple, Philipp, Michael Steppert, Luis Wunder, and Michael Steber. "Verification of Torricelli’s Efflux Equation with the Analytical Momentum Equation and with Numerical CFD Computations." Applied Mechanics and Materials 871 (October 2017): 220–29. http://dx.doi.org/10.4028/www.scientific.net/amm.871.220.

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The efflux velocity equation from Torricelli is well known in fluid mechanics. It can be derived analytically applying Bernoulli’s equation. Bernoulli’s equation is obtained integrating the momentum equation on a stream line. For verification purposes the efflux velocity for a large tank or vessel was also computed analytically applying the momentum equation, delivering, however, a different result as the Torricelli equation. In order to validate these theoretical results the vertical and the horizontal efflux velocity case was simulated with computational fluid dynamics CFD. Furthermore, simp

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10

BRAICA, PETRU, MIRCEA FARCAS, and DALY MARCIUC. "The locus of generalized Toricelli-Fermat points." Creative Mathematics and Informatics 24, no. 2 (2015): 125–29. http://dx.doi.org/10.37193/cmi.2015.02.16.

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11

Eriksson, Folke. "The Fermat-Torricelli Problem Once More." Mathematical Gazette 81, no. 490 (1997): 37. http://dx.doi.org/10.2307/3618766.

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12

Ha, Nguyen Minh. "86.52 Extending the Fermat-Torricelli Problem." Mathematical Gazette 86, no. 506 (2002): 316. http://dx.doi.org/10.2307/3621875.

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13

Wieland, Jörg, Leon Jänicke, and Jürgen Jensen. "Diskussionsbeitrag: Warum Torricelli doch Recht hat!" WASSERWIRTSCHAFT 111, no. 7-8 (2021): 67–73. http://dx.doi.org/10.1007/s35147-021-0870-z.

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14

Bistafa, Sylvio R. "A lei de Torricelli v=√2gh." Revista Brasileira de História da Ciência 7, no. 1 (2021): 110–19. http://dx.doi.org/10.53727/rbhc.v7i1.234.

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Apresenta-se uma tradução comentada para o português do De Motu Aquarum (1644), em que Evangelista Torricelli apresenta os desenvolvimentos que ficaram consolidados na sua famosa lei v=√2gh que permite determinar a velocidade de efluxo v de um jato de líquido submetido à gravidade g, jorrando de um pequeno orifício do recipiente, para o qual a distância vertical até a superfície livre da água no recipiente é h.

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15

Mukundan, T. R. "Generalized Fermat–Torricelli Problem: An Algorithm." Mathematics Magazine 91, no. 4 (2018): 288–93. http://dx.doi.org/10.1080/0025570x.2018.1488504.

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16

Chen, Zhi-guo. "The Fermat-Torricelli problem on surfaces." Applied Mathematics-A Journal of Chinese Universities 31, no. 3 (2016): 362–66. http://dx.doi.org/10.1007/s11766-016-2715-6.

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17

De Villiers, Michael. "From the Fermat points to the De Villiers3 points of a triangle." Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 29, no. 3 (2010): 119–29. http://dx.doi.org/10.4102/satnt.v29i3.16.

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The article starts with a problem of ﬁnding a point that minimizes the sum of the distances to the vertices of an acute-angled triangle, a problem originally posed by Fermat in the 1600’s, and apparently ﬁrst solved by the Italian mathematician and scientist Evangelista Torricelli. This point of optimization is therefore usually called the inner Fermat or Fermat-Torricelli point of a triangle. The transformation proof presented in the article was more recently invented in 1929 by the German mathematician J. Hoffman. After reviewing the centroid and medians of a triangle, these are generalized

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18

Zachos, Anastasios N. "An evolutionary design of weighted minimum networks for four points in the three-dimensional Euclidean space." Analysis 41, no. 2 (2021): 79–112. http://dx.doi.org/10.1515/anly-2020-0042.

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Abstract We find the equations of the two interior nodes (weighted Fermat–Torricelli points) with respect to the weighted Steiner problem for four points determining a tetrahedron in R 3 \mathbb{R}^{3} . Furthermore, by applying the solution with respect to the weighted Steiner problem for a boundary tetrahedron, we calculate the twist angle between the two weighted Steiner planes formed by one edge and the line defined by the two weighted Fermat–Torricelli points and a non-neighboring edge and the line defined by the two weighted Fermat–Torricelli points. By applying the plasticity principle

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19

BARONCELLI, GIOVANNA. "INTORNO ALL'INVENZIONE DELLA SPIRALE GEOMETRICA. UNA LETTERA INEDITA DI TORRICELLI A MICHELANGELO RICCI." Nuncius 8, no. 2 (1993): 14–606. http://dx.doi.org/10.1163/182539183x00721.

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20

Rougier, Louis. "– Chapitre II – L’hypothèse de Torricelli et l’Expérience." Philosophia Scientae, no. 14-2 (October 1, 2010): 63–68. http://dx.doi.org/10.4000/philosophiascientiae.178.

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21

Rougier, Louis. "– Chapitre III – Précurseurs et émules de Torricelli." Philosophia Scientae, no. 14-2 (October 1, 2010): 69–79. http://dx.doi.org/10.4000/philosophiascientiae.179.

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22

Barbara, Roy. "The Fermat-Torricelli Points of n Lines." Mathematical Gazette 84, no. 499 (2000): 24. http://dx.doi.org/10.2307/3621470.

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23

Sureka, Binit, Kalpana Bansal, and Ankur Arora. "Torricelli-Bernoulli Sign in Gastrointestinal Stromal Tumor." American Journal of Roentgenology 205, no. 4 (2015): W468. http://dx.doi.org/10.2214/ajr.15.14926.

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24

Tan, T. V. "An Extension of the Fermat-Torricelli Problem." Journal of Optimization Theory and Applications 146, no. 3 (2010): 735–44. http://dx.doi.org/10.1007/s10957-010-9686-1.

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25

Kupitz, Yaakov S., and Horst Martini. "The Fermat-Torricelli point and isosceles tetrahedra." Journal of Geometry 49, no. 1-2 (1994): 150–62. http://dx.doi.org/10.1007/bf01228057.

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26

Osinuga, I. A., S. A. Ayinde, J. A. Oguntuase, and G. A. Adebayo. "On Fermat-Torricelli Problem in Frechet Spaces." Journal of Nepal Mathematical Society 3, no. 2 (2020): 16–26. http://dx.doi.org/10.3126/jnms.v3i2.33956.

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We study the Fermat-Torricelli problem (FTP) for Frechet space X, where X is considered as an inverse limit of projective system of Banach spaces. The FTP is defined by using fixed countable collection of continuous seminorms that defines the topology of X as gauges. For a finite set A in X consisting of n distinct and fixed points, the set of minimizers for the sum of distances from the points in A to a variable point is considered. In particular, for the case of collinear points in X, we prove the existence of the set of minimizers for FTP in X and for the case of non collinear points, exist

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27

Abi-Khuzam, Faruk. "Geometry of the weighted Fermat–Torricelli problem." Journal of Geometry 106, no. 3 (2014): 443–53. http://dx.doi.org/10.1007/s00022-014-0256-9.

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28

West, John B. "Torricelli and the Ocean of Air: The First Measurement of Barometric Pressure." Physiology 28, no. 2 (2013): 66–73. http://dx.doi.org/10.1152/physiol.00053.2012.

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The recognition of barometric pressure was a critical step in the development of environmental physiology. In 1644, Evangelista Torricelli described the first mercury barometer in a remarkable letter that contained the phrase, “We live submerged at the bottom of an ocean of the element air, which by unquestioned experiments is known to have weight.” This extraordinary insight seems to have come right out of the blue. Less than 10 years before, the great Galileo had given an erroneous explanation for the related problem of pumping water from a deep well. Previously, Gasparo Berti had filled a v

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29

Rešić, Sead, Alma Šehanović, and Amila Osmić. "ISOSCELES TRIANGLES ON THE SIDES OF A TRIANGLE." Journal Human Research in Rehabilitation 9, no. 1 (2019): 123–30. http://dx.doi.org/10.21554/hrr.041915.

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Famous construction of Fermat-Toricelly point of a triangle leads to the question is there a similar way to construct other isogonic centers of a triangle in a similar way. For a purpose we remember that Fermat-Torricelli point of a triangle ΔABC is obtained by constructing equilateral triangles outwardly on the sides AB,BC and CA. If we denote thirth vertices of those triangles by C1 ,A1 and B1 respectively, then the lines AA1 ,BB1 and CC1 concurr at the Fermat-Torricelli point of a triangle ΔABC (Van Lamoen, 2003). In this work we present the condition for the concurrence, of the lines AA1 ,

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30

Rougier, Louis. "– Chapitre I – L’Expérience de Torricelli et la Scolastique." Philosophia Scientae, no. 14-2 (October 1, 2010): 52–62. http://dx.doi.org/10.4000/philosophiascientiae.177.

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31

de Villiers, Michael D. "79.37 A Generalisation of the Fermat-Torricelli Point." Mathematical Gazette 79, no. 485 (1995): 374. http://dx.doi.org/10.2307/3618319.

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32

Fortman, B. J. "Torricelli-Bernoulli sign in an ulcerating gastric leiomyosarcoma." American Journal of Roentgenology 173, no. 1 (1999): 199–200. http://dx.doi.org/10.2214/ajr.173.1.10397126.

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33

Benko, David, and Dan Coroian. "A New Angle on the Fermat–Torricelli Point." College Mathematics Journal 49, no. 3 (2018): 195–99. http://dx.doi.org/10.1080/07468342.2018.1440865.

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34

Alexei Yu. Uteshev. "Analytical Solution for the Generalized Fermat–Torricelli Problem." American Mathematical Monthly 121, no. 4 (2014): 318. http://dx.doi.org/10.4169/amer.math.monthly.121.04.318.

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35

SOULIER-PERKINS, ADELINE, and MAXIME LE CESNE. "Revision of the New Guinean genus Zophiuma (Hemiptera, Lophopidae)." Zootaxa 4926, no. 4 (2021): 559–72. http://dx.doi.org/10.11646/zootaxa.4926.4.6.

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The lophopid genus Zophiuma Fennah, 1955 is revised with two new species described, Z. gitauae sp. nov. and Z. torricelli sp. nov. and Z. doreyensis (Distant, 1906) is placed in synonymy with Z. pupillata (Stål, 1863). A key to the species for the genus, distribution map and the male genitalia illustrations are provided.

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36

de Villiers, Michael. "83.06 A Further Generalisation of the Fermat-Torricelli Point." Mathematical Gazette 83, no. 496 (1999): 106. http://dx.doi.org/10.2307/3618694.

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37

Palacios-Vélez, Óscar Luis, Felipe J. A. Pedraza-Oropeza, and Bernardo Samuel Escobar-Villagran. "An algebraic approach to finding the Fermat–Torricelli point." International Journal of Mathematical Education in Science and Technology 46, no. 8 (2015): 1252–59. http://dx.doi.org/10.1080/0020739x.2015.1036947.

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38

Martini, H., K. J. Swanepoel, and G. Weiss. "The Fermat–Torricelli Problem in Normed Planes and Spaces." Journal of Optimization Theory and Applications 115, no. 2 (2002): 283–314. http://dx.doi.org/10.1023/a:1020884004689.

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39

Benítez, Carlos, Manuel Fernández, and María L. Soriano. "Location of the Fermat-Torricelli medians of three points." Transactions of the American Mathematical Society 354, no. 12 (2002): 5027–38. http://dx.doi.org/10.1090/s0002-9947-02-03113-6.

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40

Miniati, Mara, Albert Van Helden, Vincenzo Greco, and Giuseppe Molesini. "Seventeenth-century telescope optics of Torricelli, Divini, and Campani." Applied Optics 41, no. 4 (2002): 644. http://dx.doi.org/10.1364/ao.41.000644.

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41

Kurokawa, Shinsuke, Ai Morikawa, Taro Kubo, and Tatsuo Morita. "Torricelli-Bernoulli Sign in a Large Intestine Gastrointestinal Stromal Tumor." Internal Medicine 53, no. 21 (2014): 2547. http://dx.doi.org/10.2169/internalmedicine.53.2909.

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42

Malcherek, Andreas. "History of the Torricelli Principle and a New Outflow Theory." Journal of Hydraulic Engineering 142, no. 11 (2016): 02516004. http://dx.doi.org/10.1061/(asce)hy.1943-7900.0001232.

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43

Edvaldo de Oliveira Nunes, José, and Maurício Costa Goldfarb. "APLICAÇÕES DA INTEGRAL: UMA ABORDAGEM SOBRE A TROMBETA DE TORRICELLI." Revista Diálogos 2, no. 20 (2018): 91–109. http://dx.doi.org/10.13115/2236-1499v2n20p91.

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44

Mordukhovich, Boris, and Nguyen Mau Nam. "Applications of Variational Analysis to a Generalized Fermat-Torricelli Problem." Journal of Optimization Theory and Applications 148, no. 3 (2010): 431–54. http://dx.doi.org/10.1007/s10957-010-9761-7.

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45

Spirova, M. "On the Napoleon-Torricelli configuration in Affine Cayley-Klein planes." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 76, no. 1 (2006): 131–42. http://dx.doi.org/10.1007/bf02960861.

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46

Malcherek, Andreas. "Die irrtümliche Herleitung der Torricelli-Formel aus der Bernoulli-Gleichung." WASSERWIRTSCHAFT 106, no. 2-3 (2016): 75–80. http://dx.doi.org/10.1007/s35147-016-0005-0.

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47

Rahmawati, Dewi Rahmawati, and Desi Wulandari. "Pembelajaran dengan Media Berbasis Problem Base Learning pada Materi Tekanan dalam Mengembangkan Sikap Peserta Didik." VEKTOR: Jurnal Pendidikan IPA 2, no. 1 (2021): 1–15. http://dx.doi.org/10.35719/vektor.v2i1.14.

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Dalam pembelajaran IPA untuk memenuhi ketentuan dalam kurikulum 2013 bahwasanya pembelajaran dilakukan dengan mengajarkan materi pada peserta didik untuk mengembangkan kompetensi yaitu kompetensi sikap spiritual, sosial, pengetahuan dan keterampilan. Untuk melaksanakan pembelajaran tersebut pembelajaran yang diterapkan yaitu mengajarkan materi tekanan hidrostatis. Pembelajaran IPA pada materi Tekanan dengan submateri Tekanan Hidrostatis serta dalam penerapan sehari-harinya dilakukan dengan model Problem Base Learning. Model tersebut disajikan sebuah demonstrasi produk dari guru untuk mengamati

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48

Gomez-Rojas, J., L. Camargo, E. Martinez, and M. Gasca. "Electronic rain meter for mobile sensor node using law of Torricelli." Journal of Physics: Conference Series 2139, no. 1 (2021): 012004. http://dx.doi.org/10.1088/1742-6596/2139/1/012004.

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Abstract Rain in a city can cause material damage and risk for the population, hence the importance of implementing prevention and mitigation measures. These measures must be taken based on the analysis of the data collected by networks of environmental sensors. The rainfall-meter is one of the instruments used to measure rain, these are designed to operate at a fixed point. Coverage of the entire area of a city requires the installation of several of these elements. This paper shows the development of an electronic rain gauge that can operate in motion applying the principles of fluid dynamic

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49

Suprinyak, Carlos Eduardo. "Torricelli, energia a vapor e o sentido tecnológico da Revolução Científica." Revista de Economia Política 29, no. 2 (2009): 302–18. http://dx.doi.org/10.1590/s0101-31572009000200008.

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50

Nam, Nguyen Mau, Nguyen Thai An, R. Blake Rector, and Jie Sun. "Nonsmooth Algorithms and Nesterov's Smoothing Technique for Generalized Fermat--Torricelli Problems." SIAM Journal on Optimization 24, no. 4 (2014): 1815–39. http://dx.doi.org/10.1137/130945442.

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