TODAY IN SCIENCE HISTORY ®  •  TODAYINSCI ®
Celebrating 24 Years on the Web
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “Politics is more difficult than physics.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index P > Category: Parabola

Parabola Quotes (2 quotes)

Toutes les fois que dans une équation finale on trouve deux quantités inconnues, on a un lieu, l'extrémité de l'une d’elles décrivant une ligne droite ou courbe. La ligne droite est simple et unique dans son genre; les espèces des courbes sont en nombre indéfini, cercle, parabole, hyperbole, ellipse, etc.
Whenever two unknown magnitudes appear in a final equation, we have a locus, the extremity of one of the unknown magnitudes describing a straight line or a curve. The straight line is simple and unique; the classes of curves are indefinitely many,—circle, parabola, hyperbola, ellipse, etc.
Introduction aux Lieux Plans et Solides (1679) collected in OEuvres de Fermat (1896), Vol. 3, 85. Introduction to Plane and Solid Loci, as translated by Joseph Seidlin in David E. Smith(ed.)A Source Book in Mathematics (1959), 389. Alternate translation using Google Translate: “Whenever in a final equation there are two unknown quantities, there is a locus, the end of one of them describing a straight line or curve. The line is simple and unique in its kind, species curves are indefinite in number,—circle, parabola, hyperbola, ellipse, etc.”
Science quotes on:  |  Circle (117)  |  Curve (49)  |  Describe (132)  |  Ellipse (8)  |  Equation (138)  |  Extremity (7)  |  Final (121)  |  Locus (5)  |  Magnitude (88)  |  Simple (426)  |  Straight (75)  |  Straight Line (34)  |  Two (936)  |  Unique (72)  |  Unknown (195)  |  Whenever (81)

Euclidean mathematics assumes the completeness and invariability of mathematical forms; these forms it describes with appropriate accuracy and enumerates their inherent and related properties with perfect clearness, order, and completeness, that is, Euclidean mathematics operates on forms after the manner that anatomy operates on the dead body and its members. On the other hand, the mathematics of variable magnitudes—function theory or analysis—considers mathematical forms in their genesis. By writing the equation of the parabola, we express its law of generation, the law according to which the variable point moves. The path, produced before the eyes of the student by a point moving in accordance to this law, is the parabola.
If, then, Euclidean mathematics treats space and number forms after the manner in which anatomy treats the dead body, modern mathematics deals, as it were, with the living body, with growing and changing forms, and thus furnishes an insight, not only into nature as she is and appears, but also into nature as she generates and creates,—reveals her transition steps and in so doing creates a mind for and understanding of the laws of becoming. Thus modern mathematics bears the same relation to Euclidean mathematics that physiology or biology … bears to anatomy.
In Die Mathematik die Fackelträgerin einer neuen Zeit (1889), 38. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 112-113.
Science quotes on:  |  Accord (36)  |  Accordance (10)  |  According (236)  |  Accuracy (81)  |  Analysis (244)  |  Anatomy (75)  |  Appear (122)  |  Appropriate (61)  |  Bear (162)  |  Become (821)  |  Becoming (96)  |  Biology (232)  |  Body (557)  |  Change (639)  |  Clearness (11)  |  Completeness (19)  |  Consider (428)  |  Create (245)  |  Dead (65)  |  Deal (192)  |  Describe (132)  |  Doing (277)  |  Enumerate (3)  |  Equation (138)  |  Euclid (60)  |  Express (192)  |  Eye (440)  |  Form (976)  |  Function (235)  |  Furnish (97)  |  Generate (16)  |  Generation (256)  |   Genesis (26)  |  Grow (247)  |  Growing (99)  |  Inherent (43)  |  Insight (107)  |  Invariability (6)  |  Law (913)  |  Living (492)  |  Living Body (3)  |  Magnitude (88)  |  Manner (62)  |  Mathematics (1395)  |  Member (42)  |  Mind (1377)  |  Modern (402)  |  Modern Mathematics (50)  |  Move (223)  |  Nature (2017)  |  Number (710)  |  On The Other Hand (40)  |  Operate (19)  |  Order (638)  |  Other (2233)  |  Path (159)  |  Perfect (223)  |  Physiology (101)  |  Point (584)  |  Produce (117)  |  Produced (187)  |  Property (177)  |  Relate (26)  |  Relation (166)  |  Reveal (152)  |  Same (166)  |  Space (523)  |  Step (234)  |  Student (317)  |  Theory (1015)  |  Transition (28)  |  Treat (38)  |  Understand (648)  |  Understanding (527)  |  Variable (37)  |  Write (250)  |  Writing (192)

In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Sitewide search within all Today In Science History pages:
Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology.

Names index: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

Categories index: | 1 | 2 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
Thank you for sharing.

Science T-Shirts from Amazon

See more at Amazon

by Ian Ellis