{"json_modified": "2016-08-19T13:59:53.991435", "uuid": "39203d0a-8103-4d8b-b8ba-6216a5c13461", "title": "Proving the Pythagorean theorem", "url": "/en-US/docs/Web/MathML/Examples/MathML_Pythagorean_Theorem", "tags": ["Beginner", "Guide", "HTML5 Math", "Math education", "Example", "MathML", "beginner", "NeedsBeginnerUpdate"], "translations": [{"uuid": "4ae6036e-ab4a-4e2b-9208-f03ee0b18199", "title": "Beweis des Satzes des Pythagoras", "url": "/de/docs/Web/MathML/Beispiele/MathML_Satz_des_Pythagoras", "tags": ["Anf\u00e4nger", "MathML", "Beispiel"], "summary": "Wir erbringen einen Beweis f\u00fcr den Satz des Pythagoras f\u00fcr rechtwinklige Dreiecke: <math><mrow><msup><mi> a </mi><mn>2</mn></msup><mo> + </mo><msup><mi> b </mi><mn>2</mn></msup><mo> = </mo><msup><mi> c </mi><mn>2</mn></msup></mrow></math>", "localization_tags": [], "locale": "de", "last_edit": "2015-12-22T03:02:36", "review_tags": []}, {"uuid": "00cbf418-b10b-48eb-b9ff-8a08a7fc5414", "title": "MathML Pythagorean Theorem", "url": "/es/docs/Web/MathML/Examples/MathML_Pythagorean_Theorem", "tags": [], "summary": "<math 1ex\"=\"\" height=\"0.5ex\" side=\"left\" style=\"font-size: 16pt; font-family: arial; mspace depth=\" width=\"2.5ex\"> <mtable columnalign=\"left\"><mtr><mtd><mrow><mrow><mrow><mrow><mspace depth=\"1ex\" height=\"0.5ex\" width=\"2.5ex\"/><msup><mi>a</mi><mn>2</mn></msup></mrow><mo> + </mo><msup><mi>b</mi><mn>2</mn></msup><mo> = </mo><msup><mi>c</mi><mn>2</mn></msup></mrow></mrow></mrow></mtd></mtr><mtr><mtd><mrow><mrow><mrow><mspace depth=\"1ex\" height=\"0.5ex\" width=\"2.5ex\"/><mrow><mtext mathcolor=\"black\" mathsize=\"12pt\"> Podemos demostrar el teorema algebraicamente mostrando que el area del cuadrado grande<br/>\n  es igual al area del cuadrado interno (hipotenusa al cuadrado) mas el area de los cuatro triangulos: </mtext></mrow></mrow></mrow></mrow></mtd></mtr><br/><br/><mtr><mtd><mrow><mrow><mrow><mrow><mspace depth=\"1ex\" height=\"0.5ex\" width=\"2.5ex\"/><mo>(</mo><mi>a</mi><mo> + </mo><mi>b</mi><msup><mo>)</mo><mn>2</mn></msup><mo> = </mo><msup><mi>c</mi><mn>2</mn></msup><mo> + </mo><mn>4</mn><mo>(</mo><mfrac><mrow><mn>1</mn></mrow><mn>2</mn></mfrac><mo>)</mo><mi>a</mi><mi>b</mi></mrow></mrow></mrow></mrow></mtd></mtr><mtr><mtd><mrow><mrow><mrow><mrow><mspace depth=\"1ex\" height=\"0.5ex\" width=\"2.5ex\"/><msup><mi>a</mi><mn>2 </mn></msup><mo> + </mo><mn>2</mn><mi>a</mi><mi>b</mi><mo> + </mo><msup><mi>b</mi><mn>2 </mn></msup><mo> =</mo><msup><mi>c</mi><mn>2</mn></msup><mo> + </mo><mn>2</mn><mi>a<mi>b</mi></mi></mrow></mrow></mrow></mrow></mtd></mtr><mtr><mtd><mrow><mrow><mrow><mrow><mspace depth=\"1ex\" height=\"0.5ex\" width=\"2.5ex\"/><msup><mi>a</mi><mn>2 </mn></msup><mo> + </mo><msup><mi>b</mi><mn>2</mn></msup><mo> =</mo><msup><mi>c</mi><mn>2</mn></msup></mrow></mrow></mrow></mrow></mtd></mtr></mtable>", "localization_tags": [], "locale": "es", "last_edit": "2013-09-22T11:54:01", "review_tags": []}, {"uuid": "392c60f4-bcdd-46b0-9f55-717d29acee8c", "title": "Preuve du th\u00e9or\u00e8me de Pythagore", "url": "/fr/docs/Web/MathML/Exemples/MathML_Theoreme_de_Pythagore", "tags": ["D\u00e9butant", "MathML", "Education math\u00e9matique", "HTML5 Math"], "summary": "Nous allons prouver le th\u00e9or\u00e8me de Pythagore: <math><mrow><msup><mi> a </mi><mn>2</mn></msup><mo> + </mo><msup><mi> b </mi><mn>2</mn></msup><mo> = </mo><msup><mi> c </mi><mn>2</mn></msup></mrow></math>", "localization_tags": [], "locale": "fr", "last_edit": "2016-06-27T01:33:15", "review_tags": []}, {"uuid": "6003d5e4-0022-41da-a47f-8a5865cc1870", "title": "\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u306e\u8a3c\u660e", "url": "/ja/docs/Web/MathML/Examples/MathML_Pythagorean_Theorem", "tags": ["NeedsBeginnerUpdate", "Math education", "MathML", "Beginner", "HTML5 Math"], "summary": "\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3092\u8a3c\u660e\u3057\u307e\u3059: <math><mrow><msup><mi> a </mi><mn>2</mn></msup><mo> + </mo><msup><mi> b </mi><mn>2</mn></msup><mo> = </mo><msup><mi> c </mi><mn>2</mn></msup></mrow></math>", "localization_tags": [], "locale": "ja", "last_edit": "2016-01-20T04:55:22", "review_tags": []}], "modified": "2016-08-19T13:59:53", "label": "Proving the Pythagorean theorem", "localization_tags": [], "locale": "en-US", "id": 61573, "last_edit": "2016-08-19T13:59:53", "summary": "We will now prove the Pythogorian theorem: <math><mrow><msup><mi> a </mi><mn>2</mn></msup><mo> + </mo><msup><mi> b </mi><mn>2</mn></msup><mo> = </mo><msup><mi> c </mi><mn>2</mn></msup></mrow></math>", "sections": [], "slug": "Web/MathML/Examples/MathML_Pythagorean_Theorem", "review_tags": []}