標(biāo)題: Titlebook: Exploring Classical Greek Construction Problems with Interactive Geometry Software; Ad Meskens,Paul Tytgat Book 2017 Springer Internationa [打印本頁] 作者: Glitch 時(shí)間: 2025-3-21 17:28
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software影響因子(影響力)
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software影響因子(影響力)學(xué)科排名
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software網(wǎng)絡(luò)公開度
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software被引頻次
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software被引頻次學(xué)科排名
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software年度引用
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software年度引用學(xué)科排名
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software讀者反饋
書目名稱Exploring Classical Greek Construction Problems with Interactive Geometry Software讀者反饋學(xué)科排名
作者: 固執(zhí)點(diǎn)好 時(shí)間: 2025-3-21 22:11
https://doi.org/10.1007/978-1-4842-5473-8omplished with compass and straightedge methods, but other geometrical constructions are possible..We now know that the area of a circle is given by .. Now suppose that a square with edge . has the same area. Then ., from which .. The problem of squaring the circle is thereby reduced to constructing作者: Offensive 時(shí)間: 2025-3-22 03:05
Squaring the circle,omplished with compass and straightedge methods, but other geometrical constructions are possible..We now know that the area of a circle is given by .. Now suppose that a square with edge . has the same area. Then ., from which .. The problem of squaring the circle is thereby reduced to constructing作者: 颶風(fēng) 時(shí)間: 2025-3-22 04:57 作者: violate 時(shí)間: 2025-3-22 11:19 作者: Arthr- 時(shí)間: 2025-3-22 13:31
PL/SQL Optimization Techniques,ses, these are exercises whose history goes back to Ancient Greece..We explore two of Plato’s construction categories: constructions with conic sections and constructions with mechanical aids, with historic examples (van Roomen, Viète, van Schooten). In particular neusis or verging constructions are作者: Arthr- 時(shí)間: 2025-3-22 17:39
Relational Database Systems and Oracle,ghtedge constructions. In this chapter we take a closer look at some elementary and not so elementary constructions, culminating is a discussion of Viète’s construction of a circle tangent to three given circles.作者: 蛛絲 時(shí)間: 2025-3-23 01:08 作者: 失望昨天 時(shí)間: 2025-3-23 02:30
https://doi.org/10.1007/0-387-33530-7 equal parts, by compass and straightedge methods then comes naturally..The question is simple enough and seems to suggest a simple solution. Here too, appearances are deceptive. It turns out that, like the duplication of the cube, the construction with compass and straightedge is impossible. We can作者: inspiration 時(shí)間: 2025-3-23 07:34
https://doi.org/10.1007/978-1-4842-5473-8same area as a given figure. We still refer to the square root of a number, meaning we are looking for the length of the edge of a square with the given number as area..‘‘Squaring the circle’’ has become more or less a catch line for something which is impossible or unsolvable. Indeed, the problem c作者: choroid 時(shí)間: 2025-3-23 13:20 作者: GULP 時(shí)間: 2025-3-23 16:08
Jens Meinicke,Thomas Thüm,Gunter Saake is not constructible using compass and straightedge methods. In what follows, we will guide you through the proof of this non-constructibility..We call this configuration Viète’s ladder. Viète used this configuration to calculate the edge of a regular heptagon.作者: 破譯 時(shí)間: 2025-3-23 21:40 作者: 騎師 時(shí)間: 2025-3-23 22:40 作者: machination 時(shí)間: 2025-3-24 03:49
Classic vs. Integrated Capture and ApplyWe introduce Interactive Geometry Systems (IGS) and how to work with them. In particular we explore the Trace and Locus commands and the way to use polar coordinates. Carefully chosen exercises r let the reader become acquainted with his favourite IGS.作者: 暫時(shí)別動 時(shí)間: 2025-3-24 09:53
Introduction,We introduce Interactive Geometry Systems (IGS) and how to work with them. In particular we explore the Trace and Locus commands and the way to use polar coordinates. Carefully chosen exercises r let the reader become acquainted with his favourite IGS.作者: infelicitous 時(shí)間: 2025-3-24 12:04
Relational Database Systems and Oracle,ghtedge constructions. In this chapter we take a closer look at some elementary and not so elementary constructions, culminating is a discussion of Viète’s construction of a circle tangent to three given circles.作者: 過剩 時(shí)間: 2025-3-24 15:41
Jens Meinicke,Thomas Thüm,Gunter Saake is not constructible using compass and straightedge methods. In what follows, we will guide you through the proof of this non-constructibility..We call this configuration Viète’s ladder. Viète used this configuration to calculate the edge of a regular heptagon.作者: 不知疲倦 時(shí)間: 2025-3-24 19:37
Compass and straightedge constructions,ghtedge constructions. In this chapter we take a closer look at some elementary and not so elementary constructions, culminating is a discussion of Viète’s construction of a circle tangent to three given circles.作者: 極小 時(shí)間: 2025-3-24 23:58
The Cinderella of regular polygons, is not constructible using compass and straightedge methods. In what follows, we will guide you through the proof of this non-constructibility..We call this configuration Viète’s ladder. Viète used this configuration to calculate the edge of a regular heptagon.作者: 定點(diǎn) 時(shí)間: 2025-3-25 06:56 作者: 留戀 時(shí)間: 2025-3-25 10:07
Compact Textbooks in Mathematicshttp://image.papertrans.cn/f/image/320265.jpg作者: 證實(shí) 時(shí)間: 2025-3-25 15:02
https://doi.org/10.1007/978-3-319-42863-5Delian problem; straightedge and compass; ruler and compass; GeoGebra; neusis; circle quadrature; duplicat作者: Cosmopolitan 時(shí)間: 2025-3-25 18:50 作者: CHOKE 時(shí)間: 2025-3-25 23:04 作者: 非實(shí)體 時(shí)間: 2025-3-26 04:08
The Delian Problem,o stop the epidemic. The oracle answered that they should build a new cubic altar, with a size (= volume) double that of the existing one. The length of the edge should be determined by compass and straightedge methods only..Plato gave a solution with mechanical aids, for which numerous variants exi作者: mitral-valve 時(shí)間: 2025-3-26 05:35
Trisecting an angle, equal parts, by compass and straightedge methods then comes naturally..The question is simple enough and seems to suggest a simple solution. Here too, appearances are deceptive. It turns out that, like the duplication of the cube, the construction with compass and straightedge is impossible. We can作者: 中止 時(shí)間: 2025-3-26 10:14
Squaring the circle,same area as a given figure. We still refer to the square root of a number, meaning we are looking for the length of the edge of a square with the given number as area..‘‘Squaring the circle’’ has become more or less a catch line for something which is impossible or unsolvable. Indeed, the problem c作者: nonradioactive 時(shí)間: 2025-3-26 15:29
Constructible numbers,e a consequence of Euclid’s first three postulates:.We will call a number . constructible if we can construct a line segment with length . in a finite number of steps..The axiom tells us that if we choose two different points . and ., then we actually turn the straight line into a ruler with . as un作者: 苦笑 時(shí)間: 2025-3-26 19:44
The Cinderella of regular polygons, is not constructible using compass and straightedge methods. In what follows, we will guide you through the proof of this non-constructibility..We call this configuration Viète’s ladder. Viète used this configuration to calculate the edge of a regular heptagon.作者: Curmudgeon 時(shí)間: 2025-3-26 21:15 作者: 出血 時(shí)間: 2025-3-27 04:30 作者: concise 時(shí)間: 2025-3-27 07:36
https://doi.org/10.1007/979-8-8688-0309-3of the edge should be determined by compass and straightedge methods only..Plato gave a solution with mechanical aids, for which numerous variants exist. Plato’s method was used in the sixteenth century by wine gaugers to construct a cubic gauging rod..A line segment of length . can be constructed using a neusis method, which we discuss in depth.作者: 外貌 時(shí)間: 2025-3-27 10:03
https://doi.org/10.1007/0-387-33530-7, appearances are deceptive. It turns out that, like the duplication of the cube, the construction with compass and straightedge is impossible. We can find a construction if we allow a marked ruler and verging solutions.作者: Eviction 時(shí)間: 2025-3-27 14:40
The Genesis of Geometry,ns and constructions with mechanical aids, with historic examples (van Roomen, Viète, van Schooten). In particular neusis or verging constructions are discussed. This method will be used extensively in the following chapters.作者: beta-carotene 時(shí)間: 2025-3-27 20:12
The Delian Problem,of the edge should be determined by compass and straightedge methods only..Plato gave a solution with mechanical aids, for which numerous variants exist. Plato’s method was used in the sixteenth century by wine gaugers to construct a cubic gauging rod..A line segment of length . can be constructed using a neusis method, which we discuss in depth.作者: IRS 時(shí)間: 2025-3-28 01:36
Trisecting an angle,, appearances are deceptive. It turns out that, like the duplication of the cube, the construction with compass and straightedge is impossible. We can find a construction if we allow a marked ruler and verging solutions.作者: Cantankerous 時(shí)間: 2025-3-28 04:41
Book 2017The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst other作者: meritorious 時(shí)間: 2025-3-28 10:20
Business Continuity and Disaster Recovery,nsferred to any straight line through . or . using Thales’ intercept theorem. After we have shown that parallel lines exist and can be constructed (see 3.2) we can transfer this gauge to any straight line.作者: Diaphragm 時(shí)間: 2025-3-28 12:46 作者: 說笑 時(shí)間: 2025-3-28 17:46
https://doi.org/10.1007/978-3-031-33617-1cant scientific knowledge. This chapter sets the stage for these discussions by introducing experimental design research, outlining the various types of experimental approach, and explaining the role of this book in the wider methodological context.
