標題: Titlebook: Collineations and Conic Sections; An Introduction to P Christopher Baltus Book 2020 The Editor(s) (if applicable) and The Author(s), under [打印本頁] 作者: Flippant 時間: 2025-3-21 18:54
書目名稱Collineations and Conic Sections影響因子(影響力)
書目名稱Collineations and Conic Sections影響因子(影響力)學(xué)科排名
書目名稱Collineations and Conic Sections網(wǎng)絡(luò)公開度
書目名稱Collineations and Conic Sections網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Collineations and Conic Sections被引頻次
書目名稱Collineations and Conic Sections被引頻次學(xué)科排名
書目名稱Collineations and Conic Sections年度引用
書目名稱Collineations and Conic Sections年度引用學(xué)科排名
書目名稱Collineations and Conic Sections讀者反饋
書目名稱Collineations and Conic Sections讀者反饋學(xué)科排名
作者: 輕率的你 時間: 2025-3-21 22:20 作者: ARY 時間: 2025-3-22 03:47 作者: dyspareunia 時間: 2025-3-22 05:09
Central Collineations: Properties, The collineation is . if there is a ., a point . where all lines on . are fixed, meaning the line is mapped to itself, although individual points on the line need not be fixed. We have seen that a collineation is central exactly when it has a line of fixed points, an .. 作者: glowing 時間: 2025-3-22 09:27
,The Geometry of Euclid’s ,,es, modern features that appeared as from nowhere. They may be related. There was the appearance of democracy, in Athens, around 500 BC. Around the same time philosophy emerged, reasoning by evidence and logical deduction about the great questions: what is our world made of, how and why does it chan作者: 親密 時間: 2025-3-22 14:48 作者: 親密 時間: 2025-3-22 18:28 作者: Bph773 時間: 2025-3-23 00:16
Conic Sections in Early Modern Europe. Second Part: Philippe de la Hire on Conics,ne is a conic section. But he immediately moved beyond Apollonius, as had Desargues, by claiming that properties established for the base circle apply to the conic section. La Hire wrote in Philippe de La Hire (., Paris, 1673, p 15), following the first seventeen lemmas, “All that follows is a simpl作者: Stagger 時間: 2025-3-23 03:36 作者: 未開化 時間: 2025-3-23 05:37
Foci,celet wrote in his 1822 ., Art. 446: “Although the properties of foci (.) …seem to not be among those we have called ., …they follow nevertheless in a very simple manner from foundational principles ….” 作者: 慢跑鞋 時間: 2025-3-23 10:23 作者: nepotism 時間: 2025-3-23 15:18
Some Applications of Conics and Collineations in History,velop and apply mathematical formulations to physical phenomena, including the most basic principle of engineering: to balance weights .. and .. on a weightless lever when they are on opposite sides of the fulcrum, their distances from the fulcrum .. and .. must satisfy ...?=?.... His mathematical a作者: 分散 時間: 2025-3-23 20:10
Incestuous Sibling Relationships: , and , is a construction, carried out with just a straightedge and a device to construct parallel lines, following the simplest rules, that transforms one diagram into another. We call it a . because a line is always transformed to a line. We’ll soon explain the meaning of .. And how is a circle transform作者: fringe 時間: 2025-3-24 01:06
Incestuous Sibling Relationships: , and , The collineation is . if there is a ., a point . where all lines on . are fixed, meaning the line is mapped to itself, although individual points on the line need not be fixed. We have seen that a collineation is central exactly when it has a line of fixed points, an .. 作者: cardiac-arrest 時間: 2025-3-24 02:44 作者: Creditee 時間: 2025-3-24 10:04
Family Support and Sibling Relationshipsally, for the scientific applications of conic sections. The earliest practical applications we know of are in sundials, with medieval Arabic scientists. Only in the early modern period, with Galileo (1564–1642), was the parabolic path of bodies in motion recognized. And only with Kepler (1571–1630)作者: 征服 時間: 2025-3-24 13:32
Sibling Relationships in the Family Context in the sixteenth century, especially the translation by Commandinus, of Urbino, in 1566. Books 5, 6, and 7 were later found in Arabic manuscripts. Book 8 seems lost, although that loss has prompted several mathematicians, over the centuries, to propose their own restorations.作者: CULP 時間: 2025-3-24 18:50
The Quality of Sibling Relationshipsne is a conic section. But he immediately moved beyond Apollonius, as had Desargues, by claiming that properties established for the base circle apply to the conic section. La Hire wrote in Philippe de La Hire (., Paris, 1673, p 15), following the first seventeen lemmas, “All that follows is a simpl作者: 進步 時間: 2025-3-24 22:34 作者: 生氣的邊緣 時間: 2025-3-25 01:10 作者: 不吉祥的女人 時間: 2025-3-25 03:42
The Case for Sibling Partnerships,s, in 1639, which might have created projective geometry nearly two centuries before its actual birth. That work was ., or .. Except the work was lost until La Hire’s transcription was found about 1845. Even so, Poncelet knew about involution, an invention of Desargues, when he wrote his 1822 .; the作者: 移植 時間: 2025-3-25 11:26
Einflussfaktoren auf das Sicca-Syndrom,velop and apply mathematical formulations to physical phenomena, including the most basic principle of engineering: to balance weights .. and .. on a weightless lever when they are on opposite sides of the fulcrum, their distances from the fulcrum .. and .. must satisfy ...?=?.... His mathematical a作者: Diuretic 時間: 2025-3-25 14:09
Sibling Relationships Across the Life SpanGaspard Monge (1746–1818)led a revival of geometry in France. Despite his background as a commoner, his talent brought him in 1765 to the school of military engineering at Mézières, then the leading school in France for scientific studies.作者: Axon895 時間: 2025-3-25 17:34 作者: exorbitant 時間: 2025-3-25 20:51
The Case for Sibling Partnerships,This introductory treatment of projective geometry essentially ends with Jacob Steiner’s work. But it is good to see several of the changes, after Steiner’s work, which have been central in the development of the subject since Steiner’s time.作者: Kinetic 時間: 2025-3-26 01:01 作者: 直言不諱 時間: 2025-3-26 05:19 作者: 金絲雀 時間: 2025-3-26 08:30
Nineteenth Century,Gaspard Monge (1746–1818)led a revival of geometry in France. Despite his background as a commoner, his talent brought him in 1765 to the school of military engineering at Mézières, then the leading school in France for scientific studies.作者: dowagers-hump 時間: 2025-3-26 15:42
Steiner: Cross-Ratio, Projective Forms, and Conics,The most important works in projective geometry following closely on Poncelet’s 1822 work were A. Moebius’s . (1827) and Jacob Steiner’s . (1832). Moebius introduced the term . and studied collineations of the plane by means of barycentric coordinates, a type of homogeneous coordinates that we will examine in Chap. ..作者: FOVEA 時間: 2025-3-26 20:42
Looking Ahead,This introductory treatment of projective geometry essentially ends with Jacob Steiner’s work. But it is good to see several of the changes, after Steiner’s work, which have been central in the development of the subject since Steiner’s time.作者: 疏遠天際 時間: 2025-3-26 22:51 作者: 領(lǐng)巾 時間: 2025-3-27 02:15 作者: 微塵 時間: 2025-3-27 08:01
Christopher BaltusGives the necessary geometry to readers of limited background.Provides reader with a general history through the mid-nineteenth century.Features a proof-based treatment作者: Vertical 時間: 2025-3-27 11:52 作者: 同來核對 時間: 2025-3-27 14:24
Incestuous Sibling Relationships: , and , The collineation is . if there is a ., a point . where all lines on . are fixed, meaning the line is mapped to itself, although individual points on the line need not be fixed. We have seen that a collineation is central exactly when it has a line of fixed points, an .. 作者: 個人長篇演說 時間: 2025-3-27 20:58 作者: 都相信我的話 時間: 2025-3-27 21:59
Siblings in Childhood and Adolescence, concept appeared in the work of Desargues, although the name was first used by L. Carnot in 1803. That it produces a harmonic set was recognized by La Hire in 1685. Its dual, the ., is a different way of viewing the same figure. (In the period we cover, the figure was always called a complete quadrilateral.) 作者: 不可磨滅 時間: 2025-3-28 05:19
https://doi.org/10.1057/9781137316905celet wrote in his 1822 ., Art. 446: “Although the properties of foci (.) …seem to not be among those we have called ., …they follow nevertheless in a very simple manner from foundational principles ….” 作者: 小母馬 時間: 2025-3-28 07:55 作者: Inflated 時間: 2025-3-28 10:31
978-3-030-46289-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: expdient 時間: 2025-3-28 17:38
Central Collineations: Properties, The collineation is . if there is a ., a point . where all lines on . are fixed, meaning the line is mapped to itself, although individual points on the line need not be fixed. We have seen that a collineation is central exactly when it has a line of fixed points, an .. 作者: ARC 時間: 2025-3-28 19:13
Conic Sections in Early Modern Europe. First Part: Philippe de la Hire on Circles, in the sixteenth century, especially the translation by Commandinus, of Urbino, in 1566. Books 5, 6, and 7 were later found in Arabic manuscripts. Book 8 seems lost, although that loss has prompted several mathematicians, over the centuries, to propose their own restorations.作者: Eeg332 時間: 2025-3-29 01:09
Central Collineations: Complete Quadrilateral, Involution, and Hexagon Theorems, concept appeared in the work of Desargues, although the name was first used by L. Carnot in 1803. That it produces a harmonic set was recognized by La Hire in 1685. Its dual, the ., is a different way of viewing the same figure. (In the period we cover, the figure was always called a complete quadrilateral.) 作者: glisten 時間: 2025-3-29 05:35 作者: 鋸齒狀 時間: 2025-3-29 09:42 作者: 使激動 時間: 2025-3-29 15:07
Incestuous Sibling Relationships: , and ,iagram into another. We call it a . because a line is always transformed to a line. We’ll soon explain the meaning of .. And how is a circle transformed? That is the marvelous part, for a circle becomes a parabola or ellipse or hyperbola—a conic section. And all conic sections can be formed this way.作者: Cpap155 時間: 2025-3-29 17:25
Family Support and Sibling Relationshipsme time philosophy emerged, reasoning by evidence and logical deduction about the great questions: what is our world made of, how and why does it change, how should we live? And mathematics that was formal and deductive.作者: chalice 時間: 2025-3-29 20:50 作者: FUSE 時間: 2025-3-30 01:25
Einflussfaktoren auf das Sicca-Syndrom,weightless lever when they are on opposite sides of the fulcrum, their distances from the fulcrum .. and .. must satisfy ...?=?.... His mathematical achievements include the discovery and proof of the volume formula for a sphere, and a method that can approximate ., the ratio of circumference to diameter of a circle, to any desired accuracy.作者: nitric-oxide 時間: 2025-3-30 06:24 作者: 擁護者 時間: 2025-3-30 09:01
,The Geometry of Euclid’s ,,me time philosophy emerged, reasoning by evidence and logical deduction about the great questions: what is our world made of, how and why does it change, how should we live? And mathematics that was formal and deductive.作者: Entirety 時間: 2025-3-30 14:06
Desargues and Involution, until La Hire’s transcription was found about 1845. Even so, Poncelet knew about involution, an invention of Desargues, when he wrote his 1822 .; the . had disappeared but letters written in the vitriolic controversary about the work had survived.作者: glisten 時間: 2025-3-30 18:34
Some Applications of Conics and Collineations in History,weightless lever when they are on opposite sides of the fulcrum, their distances from the fulcrum .. and .. must satisfy ...?=?.... His mathematical achievements include the discovery and proof of the volume formula for a sphere, and a method that can approximate ., the ratio of circumference to diameter of a circle, to any desired accuracy.作者: conspicuous 時間: 2025-3-30 21:09 作者: Immunoglobulin 時間: 2025-3-31 01:12
Conics in History.With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry..978-3-030-46289-5978-3-030-46287-1作者: 使人煩燥 時間: 2025-3-31 06:29
Family Support and Sibling Relationshipshe sun’s rays to the focus of that parabola. But it did not spark work in applications; there is no surviving mention of . until the sixth century AD, by Eutocius of Askalon, and, again, in Islamic work of the eleventh century.
