<Text-field style="Heading 1" size="14" layout="Heading 1"><Font encoding="UTF-8" size="14">Deriva\303\247\303\243o da Equa\303\247\303\243o Geral da Propriedade Focal</Font></Text-field>

Para simplificar, digamos que a elipse seja horizontal, centralizada em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjg2LVEifkYnRjRGOy9GP0Y9RkFGQ0ZFRkdGSUZLL0ZPRk1GMEY0RjRGNA==com os seguintes focos: E em 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 e F em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtaUdGJDYlUSJjRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GOzYtUSJ+RidGPkZAL0ZERkJGRUZHRklGS0ZNRk8vRlNGUS1JI21uR0YkNiRRIjBGJ0Y+Rj5GPkY+. Assim, a dist\303\242ncia de cada foco ao centro \303\251 c.

A dist\303\242ncia de um ponto geral 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 na elipse para E \303\251 dado por 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.

A dist\303\242ncia de P para F \303\251 dado por 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.

Olhando para o caso em que P \303\251 um v\303\251rtice da elipse e somando as dist\303\242ncias deste v\303\251rtice a cada foco, vemos que a soma dessas dist\303\242ncias \303\251 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.

Assim, sabemos que:

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY8LUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GNlEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEiK0YnRjwvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkcvJSlzdHJldGNoeUdGRy8lKnN5bW1ldHJpY0dGRy8lKGxhcmdlb3BHRkcvJS5tb3ZhYmxlbGltaXRzR0ZHLyUnYWNjZW50R0ZHLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGVkY4LUZCNj5RMSZJbnZpc2libGVUaW1lcztGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR0ZHL0YzRkcvJSp1bmRlcmxpbmVHRkcvJSpzdWJzY3JpcHRHRkcvJSxzdXBlcnNjcmlwdEdGRy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZHLyUrZXhlY3V0YWJsZUdGRy8lKXJlYWRvbmx5R0ZHLyUpY29tcG9zZWRHRkcvJSpjb252ZXJ0ZWRHRkcvJStpbXNlbGVjdGVkR0ZHLyUscGxhY2Vob2xkZXJHRkcvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkdGPEZFRkhGSkZMRk5GUEZSL0ZVUSYwLjBlbUYnL0ZYRlxxLUYvNiVRImNGJ0YyRjVGWUYuRkEtRiw2JUZecUY4Rj5GQS1GLDYlLUYvNiVRInlGJ0YyRjVGOEY+LUZCNi1RIj1GJ0Y8RkVGSEZKRkxGTkZQRlIvRlVRLDAuMjc3Nzc3OGVtRicvRlhGXHItRjk2JFEiNEYnRjxGWS1GLDYlLUYvNiVRImFGJ0YyRjUtRiM2JUY4RjJGNUY+LUZCNi1RKCZtaW51cztGJ0Y8RkVGSEZKRkxGTkZQRlJGVEZXRl5yRllGY3JGWS1JJm1zcXJ0R0YkNiMtRiM2KS1GIzYnLUYsNiUtSShtZmVuY2VkR0YkNiQtRiM2KUYuRmhyRl5xL0Zmb1EqWzAsMCwyNTVdRicvRmBwRjQvJTBmb250X3N0eWxlX25hbWVHUSoyRH5PdXRwdXRGJ0Y8RjxGOEY+RmlzRlt0Rlx0RjxGQS1GIzYnRmNxRmlzRlt0Rlx0RjxGaXNGW3RGXHRGPEZBRmJzRkFGY3FGPA==

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY8LUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNj5RMSZJbnZpc2libGVUaW1lcztGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR1EmZmFsc2VGJy8lJ2l0YWxpY0dGPi8lKnVuZGVybGluZUdGPi8lKnN1YnNjcmlwdEdGPi8lLHN1cGVyc2NyaXB0R0Y+LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSdvcGFxdWVHRj4vJStleGVjdXRhYmxlR0Y+LyUpcmVhZG9ubHlHRj4vJSljb21wb3NlZEdGPi8lKmNvbnZlcnRlZEdGPi8lK2ltc2VsZWN0ZWRHRj4vJSxwbGFjZWhvbGRlckdGPi8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGPkYvLyUmZmVuY2VHRj4vJSpzZXBhcmF0b3JHRj4vJSlzdHJldGNoeUdGPi8lKnN5bW1ldHJpY0dGPi8lKGxhcmdlb3BHRj4vJS5tb3ZhYmxlbGltaXRzR0Y+LyUnYWNjZW50R0Y+LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZ28tSSNtaUdGJDYlUSJjRicvRkBRJXRydWVGJy9GMFEnaXRhbGljRictRjM2LVEifkYnRi9GZ25GaW5GW29GXW9GX29GYW9GY29GZW9GaG8tRltwNiVRInhGJ0ZecEZgcEZicC1GMzYtUSI9RidGL0ZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjby9GZm9RLDAuMjc3Nzc3OGVtRicvRmlvRlxxRmJwLUYsNiRRIjRGJ0YvRmJwLUklbXN1cEdGJDYlLUZbcDYlUSJhRidGXnBGYHAtRiM2JEYrRi8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYzNi1RKCZtaW51cztGJ0YvRmduRmluRltvRl1vRl9vRmFvRmNvL0Zmb1EsMC4yMjIyMjIyZW1GJy9GaW9GYHJGXnFGMkZkcUYyLUkmbXNxcnRHRiQ2Iy1GIzYoLUZbcDYjUSFGJy1GIzYkLUZicTYlLUkobWZlbmNlZEdGJDYkLUYjNiZGZXBGXHJGam9GL0YvRitGaXFGLy1GMzYtUSIrRidGL0ZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0ZfckZhci1GIzYkLUZicTYlLUZbcDYlUSJ5RidGXnBGYHBGK0ZpcUYvRmdyRi9GYnAtRjM2LVEqJnVtaW51czA7RidGL0ZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0ZfckZhckZicEYrRmJwRmpvRmJwRmVwRi8=

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

Considerando o caso em que P \303\251 o co-v\303\251rtice localizado em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictSSNtaUdGJDYlUSJiRicvJSdpdGFsaWNHRkAvRjVRJ2l0YWxpY0YnRjRGNEY0, n\303\263s vemos que 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, ent\303\243o 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. Substituindo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRj4=, n\303\263s temos:

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkmbWZyYWNHRiQ2KC1GIzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GO1Enbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2PlExJkludmlzaWJsZVRpbWVzO0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHUSZmYWxzZUYnL0Y4RlIvJSp1bmRlcmxpbmVHRlIvJSpzdWJzY3JpcHRHRlIvJSxzdXBlcnNjcmlwdEdGUi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZSLyUrZXhlY3V0YWJsZUdGUi8lKXJlYWRvbmx5R0ZSLyUpY29tcG9zZWRHRlIvJSpjb252ZXJ0ZWRHRlIvJStpbXNlbGVjdGVkR0ZSLyUscGxhY2Vob2xkZXJHRlIvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRlJGQS8lJmZlbmNlR0ZSLyUqc2VwYXJhdG9yR0ZSLyUpc3RyZXRjaHlHRlIvJSpzeW1tZXRyaWNHRlIvJShsYXJnZW9wR0ZSLyUubW92YWJsZWxpbWl0c0dGUi8lJ2FjY2VudEdGUi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmpwLUYxNiUtRjQ2JVEiYkYnRjdGOkY9RkNGQS1GIzYoRjBGRkZdcS1GNDYjUSFGJ0Y3RjovJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlxyLyUpYmV2ZWxsZWRHRlItRkc2LVEifkYnRkFGam9GXHBGXnBGYHBGYnBGZHBGZnBGaHBGW3FGYXItRkc2LVEiPUYnRkFGam9GXHBGXnBGYHBGYnBGZHBGZnAvRmlwUSwwLjI3Nzc3NzhlbUYnL0ZccUZockZhci1GLDYoLUYjNitGXXFGRi1GMTYlLUY0NiVRInhGJ0Y3RjpGPUZDLUZHNi1RIitGJ0ZBRmpvRlxwRl5wRmBwRmJwRmRwRmZwL0ZpcFEsMC4yMjIyMjIyZW1GJy9GXHFGZ3NGYXJGMEZGLUYxNiUtRjQ2JVEieUYnRjdGOkY9RkNGQUZicUZncUZqcUZdckZfckZB

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

Esta \303\251 a equa\303\247\303\243o padr\303\243o para uma elipse centrada em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjg2LVEifkYnRjRGOy9GP0Y9RkFGQ0ZFRkdGSUZLL0ZPRk1GMEY0RjRGNA== com semi-eixo principal horizontal a e semi-eixo menor b.