parent
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https://dozerdb.org/
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https://milvus.io/
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<data key="d0">Nitric Acid</data>
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<data key="d1">category</data>
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<data key="d2">Nitric acid (HNO₃) is a chemical compound involved in photodecomposition and reactions with iron oxide.</data>
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<data key="d0">Iron Oxide</data>
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<data key="d1">category</data>
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<data key="d2">Iron oxide (FeO) is a chemical compound that reacts with nitric acid under heat to produce iron nitrate, water, and nitrogen dioxide.</data>
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<data key="d0">Nitrogen Dioxide</data>
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<data key="d2">Nitrogen dioxide (NO₂) is a byproduct of the decomposition of nitric acid and the reaction between iron oxide and nitric acid.</data>
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<data key="d0">Iron Nitrate</data>
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<data key="d1">category</data>
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<data key="d2">Iron nitrate (Fe(NO₃)₃) is a product of the reaction between iron oxide and nitric acid.</data>
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<node id="Nitric Acid (HNO₃)">
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<data key="d0">Nitric Acid (HNO₃)</data>
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<data key="d1">category</data>
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<data key="d2">A strong mineral acid that undergoes photodecomposition when exposed to light, producing nitrogen dioxide, oxygen, and water.</data>
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<node id="Nitrogen Dioxide (NO₂)">
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<data key="d0">Nitrogen Dioxide (NO₂)</data>
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<data key="d1">category</data>
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<data key="d2">A reddish-brown toxic gas produced as a byproduct in nitric acid decomposition and iron oxide reactions.</data>
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<node id="Oxygen (O₂)">
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<data key="d0">Oxygen (O₂)</data>
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<data key="d1">category</data>
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<data key="d2">A diatomic gas produced in nitric acid decomposition and consumed in hydrogen combustion.</data>
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<node id="Water (H₂O)">
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<data key="d0">Water (H₂O)</data>
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<data key="d2">A compound formed in both nitric acid decomposition and hydrogen-oxygen combustion.</data>
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<data key="d0">Iron Oxide (FeO)</data>
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<data key="d0">Iron Nitrate (Fe(NO₃)₃)</data>
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<data key="d1">category</data>
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<node id="Hydrogen (H₂)">
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<data key="d0">Hydrogen (H₂)</data>
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<data key="d1">category</data>
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<data key="d2">A flammable gas that combusts with oxygen to form water.</data>
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<node id="Combustion Reaction">
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<data key="d0">Combustion Reaction</data>
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<data key="d1">event</data>
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<data key="d2">The chemical process where hydrogen reacts with oxygen to produce water.</data>
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<node id="Photodecomposition">
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<data key="d0">Photodecomposition</data>
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<data key="d1">event</data>
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<data key="d2">The chemical decomposition of nitric acid under light exposure.</data>
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<data key="d4">unknown_source</data>
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</node>
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<node id="Chemical Equation">
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<data key="d0">Chemical Equation</data>
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<data key="d1">category</data>
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<data key="d2">The symbolic representation of chemical reactions described in the text.</data>
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<data key="d3">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</node>
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<edge source="Nitric Acid" target="Nitrogen Dioxide">
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<data key="d6">8.0</data>
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<data key="d7">Nitric acid decomposes under light to produce nitrogen dioxide, oxygen, and water.</data>
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<data key="d8">byproducts,chemical decomposition</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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<data key="d10">unknown_source</data>
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</edge>
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<edge source="Nitric Acid" target="Iron Oxide">
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<data key="d6">9.0</data>
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<data key="d7">Iron oxide reacts with nitric acid under heat to produce iron nitrate, water, and nitrogen dioxide.</data>
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<data key="d8">chemical reaction,heat application</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</edge>
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<edge source="Iron Oxide" target="Iron Nitrate">
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<data key="d6">7.0</data>
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<data key="d7">Iron oxide is converted into iron nitrate through its reaction with nitric acid.</data>
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<data key="d8">chemical transformation,product formation</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</edge>
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<edge source="Hydrogen" target="Oxygen">
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<data key="d6">10.0</data>
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<data key="d7">Hydrogen combusts with oxygen to form water.</data>
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<data key="d8">combustion reaction,synthesis</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</edge>
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<edge source="Nitric Acid (HNO₃)" target="Nitrogen Dioxide (NO₂)">
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<data key="d6">9.0</data>
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<data key="d7">Nitric acid decomposes to produce nitrogen dioxide as a primary byproduct.</data>
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<data key="d8">byproduct formation,chemical decomposition</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</edge>
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<edge source="Nitric Acid (HNO₃)" target="Oxygen (O₂)">
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<data key="d6">8.0</data>
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<data key="d7">Nitric acid decomposition releases oxygen gas as a byproduct.</data>
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<data key="d8">chemical reaction,gas production</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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<data key="d10">unknown_source</data>
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<data key="d11">1752205395</data>
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</edge>
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<edge source="Nitric Acid (HNO₃)" target="Water (H₂O)">
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<data key="d6">7.0</data>
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<data key="d7">Water is produced as a byproduct of nitric acid decomposition.</data>
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<data key="d8">chemical byproduct,reaction output</data>
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||||
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</edge>
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<edge source="Nitric Acid (HNO₃)" target="Iron Oxide (FeO)">
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<data key="d6">9.0</data>
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<data key="d7">Iron oxide reacts with nitric acid under heat to produce various compounds.</data>
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<data key="d8">acid-base reaction,heat application</data>
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</edge>
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<edge source="Nitric Acid (HNO₃)" target="Photodecomposition">
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<data key="d6">8.0</data>
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<data key="d7">Photodecomposition is the process that breaks down nitric acid.</data>
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<data key="d8">chemical process,decomposition</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</edge>
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<edge source="Nitrogen Dioxide (NO₂)" target="Iron Oxide (FeO)">
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<data key="d6">7.0</data>
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<data key="d7">Reaction between iron oxide and nitric acid produces nitrogen dioxide.</data>
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<data key="d8">chemical reaction,gas production</data>
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<data key="d9">chunk-d0c3bf985a3b3b903e2fb35515fdff1e</data>
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</edge>
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<edge source="Oxygen (O₂)" target="Hydrogen (H₂)">
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<data key="d6">10.0</data>
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<data key="d7">Hydrogen combusts with oxygen in a chemical reaction to produce water.</data>
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<data key="d8">combustion,synthesis reaction</data>
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||||
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<data key="d6">9.0</data>
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<data key="d8">chemical synthesis,product formation</data>
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||||
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</edge>
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<edge source="Iron Oxide (FeO)" target="Iron Nitrate (Fe(NO₃)₃)">
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<data key="d6">8.0</data>
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<data key="d8">chemical transformation,product formation</data>
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||||
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||||
<edge source="Combustion Reaction" target="Chemical Equation">
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<data key="d6">7.0</data>
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<data key="d7">The combustion reaction is represented by a chemical equation.</data>
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<data key="d8">chemical notation,symbolic representation</data>
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||||
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@ -0,0 +1,169 @@
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||||
<data key="d0">Triangle ABC</data>
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<data key="d2">Triangle ABC is the geometric figure used to demonstrate the triangle inequality theorem.</data>
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||||
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||||
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|
||||
<node id="Proposition 19">
|
||||
<data key="d0">Proposition 19</data>
|
||||
<data key="d1">category</data>
|
||||
<data key="d2">Proposition 19 from Euclid's Elements states that in any triangle, the greater angle is subtended by the greater side.</data>
|
||||
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||||
<node id="三角形ABC">
|
||||
<data key="d0">三角形ABC</data>
|
||||
<data key="d1">geo</data>
|
||||
<data key="d2">三角形ABC is the specific triangle used to demonstrate the geometric proof of the triangle inequality theorem.</data>
|
||||
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|
||||
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||||
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||||
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|
||||
<node id="三角不等式">
|
||||
<data key="d0">三角不等式</data>
|
||||
<data key="d1">category</data>
|
||||
<data key="d2">三角不等式(Triangle Inequality) is a fundamental theorem in geometry stating that the sum of any two sides of a triangle must be greater than the third side.</data>
|
||||
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||||
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||||
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|
||||
<node id="欧几里得第五公理">
|
||||
<data key="d0">欧几里得第五公理</data>
|
||||
<data key="d1">category</data>
|
||||
<data key="d2">欧几里得第五公理(Euclid's Fifth Postulate) is a classical geometric principle used in this proof to compare angles.</data>
|
||||
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|
||||
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||||
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|
||||
<node id="几何原本">
|
||||
<data key="d0">几何原本</data>
|
||||
<data key="d1">category</data>
|
||||
<data key="d2">几何原本(Elements of Geometry) is Euclid's foundational mathematical work containing Proposition 19, referenced in this proof.</data>
|
||||
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|
||||
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||||
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|
||||
</node>
|
||||
<node id="命题19">
|
||||
<data key="d0">命题19</data>
|
||||
<data key="d1">category</data>
|
||||
<data key="d2">命题19 (Proposition 19) states that in any triangle, the greater angle is subtended by the greater side, used in this proof.</data>
|
||||
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|
||||
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||||
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|
||||
</node>
|
||||
<node id="点D">
|
||||
<data key="d0">点D</data>
|
||||
<data key="d1">geo</data>
|
||||
<data key="d2">点D (Point D) is an auxiliary point constructed in the proof by extending side AB to create an isosceles triangle.</data>
|
||||
<data key="d3">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
<data key="d4">unknown_source</data>
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||||
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|
||||
</node>
|
||||
<node id="等腰三角形BCD">
|
||||
<data key="d0">等腰三角形BCD</data>
|
||||
<data key="d1">geo</data>
|
||||
<data key="d2">等腰三角形BCD (Isosceles Triangle BCD) is formed in the proof construction, showing equal angles at its base.</data>
|
||||
<data key="d3">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
<data key="d4">unknown_source</data>
|
||||
<data key="d5">1752209912</data>
|
||||
</node>
|
||||
<edge source="Triangle ABC" target="Triangle Inequality">
|
||||
<data key="d6">9.0</data>
|
||||
<data key="d7">Triangle ABC is used to demonstrate the triangle inequality theorem, showing the relationship between its sides.</data>
|
||||
<data key="d8">geometric proof,inequality</data>
|
||||
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|
||||
<data key="d10">unknown_source</data>
|
||||
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|
||||
</edge>
|
||||
<edge source="Triangle Inequality" target="Proposition 19">
|
||||
<data key="d6">7.0</data>
|
||||
<data key="d7">Proposition 19 is applied to prove the triangle inequality by comparing angles and corresponding sides.</data>
|
||||
<data key="d8">geometric logic,proof technique</data>
|
||||
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||||
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||||
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|
||||
</edge>
|
||||
<edge source="Euclid's Fifth Postulate" target="Proposition 19">
|
||||
<data key="d6">8.0</data>
|
||||
<data key="d7">Euclid's Fifth Postulate is used alongside Proposition 19 to establish the relationship between angles and sides in the proof.</data>
|
||||
<data key="d8">angle-side relationship,geometric principles</data>
|
||||
<data key="d9">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
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|
||||
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|
||||
</edge>
|
||||
<edge source="三角形ABC" target="三角不等式">
|
||||
<data key="d6">9.0</data>
|
||||
<data key="d7">The proof uses triangle ABC to demonstrate the triangle inequality theorem through geometric construction.</data>
|
||||
<data key="d8">geometric proof,inequality demonstration</data>
|
||||
<data key="d9">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
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|
||||
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|
||||
</edge>
|
||||
<edge source="三角形ABC" target="点D">
|
||||
<data key="d6">7.0</data>
|
||||
<data key="d7">Point D is constructed from triangle ABC by extending side AB to create additional geometric relationships.</data>
|
||||
<data key="d8">auxiliary point,geometric construction</data>
|
||||
<data key="d9">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
<data key="d10">unknown_source</data>
|
||||
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|
||||
</edge>
|
||||
<edge source="三角不等式" target="几何原本">
|
||||
<data key="d6">7.0</data>
|
||||
<data key="d7">The triangle inequality proof references Euclid's Elements (几何原本) as the source of foundational geometric propositions.</data>
|
||||
<data key="d8">historical reference,mathematical foundation</data>
|
||||
<data key="d9">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
<data key="d10">unknown_source</data>
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||||
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|
||||
</edge>
|
||||
<edge source="欧几里得第五公理" target="命题19">
|
||||
<data key="d6">8.0</data>
|
||||
<data key="d7">Euclid's Fifth Postulate is used to establish angle comparisons that lead to the application of Proposition 19 in the proof.</data>
|
||||
<data key="d8">geometric principles,logical progression</data>
|
||||
<data key="d9">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
<data key="d10">unknown_source</data>
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||||
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|
||||
</edge>
|
||||
<edge source="命题19" target="等腰三角形BCD">
|
||||
<data key="d6">8.0</data>
|
||||
<data key="d7">The isosceles triangle BCD's angle properties enable the application of Proposition 19 regarding angle-side relationships.</data>
|
||||
<data key="d8">angle properties,proof technique</data>
|
||||
<data key="d9">chunk-a5e3dacee89618f913c4948b6ffe64ec</data>
|
||||
<data key="d10">unknown_source</data>
|
||||
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|
||||
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|
||||
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|
||||
</graphml>
|
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Reference in new issue