"निर्मेय": अवतरणों में अंतर
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छो r2.5.2) (robot Modifying: cs:Eukleidovská konstrukce; अंगराग परिवर्तन |
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* पटरी और परकार (ruler-and-compass) की सहायता से किसी सरल रेखा को समद्विभाजित करना, अर्थात इस रेखा-खण्ड का मध्य बिन्दु ज्ञात करना |
* पटरी और परकार (ruler-and-compass) की सहायता से किसी सरल रेखा को समद्विभाजित करना, अर्थात इस रेखा-खण्ड का मध्य बिन्दु ज्ञात करना |
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== वाह्य सूत्र == |
== वाह्य सूत्र == |
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*[http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=268&bodyId=163 Van Schooten's Ruler Constructions] at [http://mathdl.maa.org/convergence/1/ Convergence] |
* [http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=268&bodyId=163 Van Schooten's Ruler Constructions] at [http://mathdl.maa.org/convergence/1/ Convergence] |
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*[http://wims.unice.fr/~wims/en_tool~geometry~rulecomp.en.phtml Online ruler-and-compass construction tool] |
* [http://wims.unice.fr/~wims/en_tool~geometry~rulecomp.en.phtml Online ruler-and-compass construction tool] |
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*[http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Squaring_the_circle.html Squaring the circle] |
* [http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Squaring_the_circle.html Squaring the circle] |
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*[http://www.geom.umn.edu/docs/forum/square_circle/ Impossibility of squaring the circle] |
* [http://www.geom.umn.edu/docs/forum/square_circle/ Impossibility of squaring the circle] |
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*[http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Doubling_the_cube.html Doubling the cube] |
* [http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Doubling_the_cube.html Doubling the cube] |
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*[http://www.geom.umn.edu/docs/forum/angtri/ Angle trisection] |
* [http://www.geom.umn.edu/docs/forum/angtri/ Angle trisection] |
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*[http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1207&bodyId=1351 An Investigation of Historical Geometric Constructions] at [http://mathdl.maa.org/convergence/1/ Convergence] |
* [http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1207&bodyId=1351 An Investigation of Historical Geometric Constructions] at [http://mathdl.maa.org/convergence/1/ Convergence] |
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*[http://www.jimloy.com/geometry/trisect.htm Trisection of an Angle] |
* [http://www.jimloy.com/geometry/trisect.htm Trisection of an Angle] |
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*[http://mathforum.org/dr.math/faq/formulas/faq.regpoly.html Regular polygon constructions] |
* [http://mathforum.org/dr.math/faq/formulas/faq.regpoly.html Regular polygon constructions] |
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*[http://www.math.uwaterloo.ca/JIS/compass.html Simon Plouffe's use of ruler and compass as a computer] |
* [http://www.math.uwaterloo.ca/JIS/compass.html Simon Plouffe's use of ruler and compass as a computer] |
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*[http://www.math-cs.cmsu.edu/~mjms/1996.2/clements.ps Why Gauss could not have proved necessity of constructible regular polygons] |
* [http://www.math-cs.cmsu.edu/~mjms/1996.2/clements.ps Why Gauss could not have proved necessity of constructible regular polygons] |
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* [http://www.cut-the-knot.org/do_you_know/compass.shtml Construction with the Compass Only] at [[cut-the-knot]] |
* [http://www.cut-the-knot.org/do_you_know/compass.shtml Construction with the Compass Only] at [[cut-the-knot]] |
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*[http://agutie.homestead.com/files/ArchBooLem08.htm Archimedes' neusis construction] by Antonio Gutierrez from Geometry Step by Step from the Land of the Incas. |
* [http://agutie.homestead.com/files/ArchBooLem08.htm Archimedes' neusis construction] by Antonio Gutierrez from Geometry Step by Step from the Land of the Incas. |
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*[http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1056&bodyId=1245 Renaissance artists' constructions of regular polygons] at [http://mathdl.maa.org/convergence/1/ Convergence] |
* [http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1056&bodyId=1245 Renaissance artists' constructions of regular polygons] at [http://mathdl.maa.org/convergence/1/ Convergence] |
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* [http://www.cut-the-knot.org/Curriculum/Geometry/Hippocrates.shtml Angle Trisection by Hippocrates] |
* [http://www.cut-the-knot.org/Curriculum/Geometry/Hippocrates.shtml Angle Trisection by Hippocrates] |
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*[http://www.mathopenref.com/tocs/constructionstoc.html Various constructions using compass and straightedge] With interactive animated step-by-step instructions |
* [http://www.mathopenref.com/tocs/constructionstoc.html Various constructions using compass and straightedge] With interactive animated step-by-step instructions |
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[[Compass and straightedge constructions]] |
[[Compass and straightedge constructions]] |
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[[bg:Построения с линийка и пергел]] |
[[bg:Построения с линийка и пергел]] |
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[[ca:Construcció amb regle i compàs]] |
[[ca:Construcció amb regle i compàs]] |
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[[cs: |
[[cs:Eukleidovská konstrukce]] |
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[[de:Konstruktion (Mathematik)]] |
[[de:Konstruktion (Mathematik)]] |
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[[en:Compass and straightedge constructions]] |
[[en:Compass and straightedge constructions]] |
22:59, 13 दिसम्बर 2010 का अवतरण
ज्यामिति में निर्मेय किसी ज्यामितीय रचना से सम्बन्धित समस्या को कहते हैं। उदाहरण के लिये कुछ निर्मेय नीचे दिये गये हैं:
- पटरी और परकार (ruler-and-compass) की सहायता से किसी सरल रेखा को समद्विभाजित करना, अर्थात इस रेखा-खण्ड का मध्य बिन्दु ज्ञात करना
- पटरी और परकार की सहायता से किसी कोण को दो बराबर भागों में बाँटना
- यदि किसी त्रिभुज की दो भुजाएँ और उनके बीच का कोण दिया हो तो उसकी रचना करना
वाह्य सूत्र
- Van Schooten's Ruler Constructions at Convergence
- Online ruler-and-compass construction tool
- Squaring the circle
- Impossibility of squaring the circle
- Doubling the cube
- Angle trisection
- An Investigation of Historical Geometric Constructions at Convergence
- Trisection of an Angle
- Regular polygon constructions
- Simon Plouffe's use of ruler and compass as a computer
- Why Gauss could not have proved necessity of constructible regular polygons
- Construction with the Compass Only at cut-the-knot
- Archimedes' neusis construction by Antonio Gutierrez from Geometry Step by Step from the Land of the Incas.
- Renaissance artists' constructions of regular polygons at Convergence
- Angle Trisection by Hippocrates
- Various constructions using compass and straightedge With interactive animated step-by-step instructions