Omer CANO. Geometria 4º Humanidades
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Transcript of Omer CANO. Geometria 4º Humanidades
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I n d i c e Prólogo 5 Signos usados en geometría 7 Alfabeto griego 9
PRIMERA PARTE Correspondiente al 4º Año de Humanidades
CAPITULO I. – La Circunferencia – El Circulo 11 - Propiedades de los ángulos del centro de las cuerdas, de los arcos
y de las tangentes - Relación entre las cuerdas y sus distancias al centro - Propiedades de la tangente a una circunferencia - 1er. Grupo de Ls. Gs referente a la circunferencia - Normal de una curva CAPITULO II. – Ángulos excéntricos 31 - Propiedades del ángulo inscrito - Propiedades del ángulo semi-inscrito - Arco capaz de un ángulo - 2º grupo de Ls Gs - Método para determinar un lugar Geométrico - Propiedades de las tangentes trazadas a una circunferencia desde
un punto situado fuera del circulo - 3er. Grupo de Ls Gs, referentes a la circunferencia CAPITULO III. – Posiciones relativas de dos circunferencias en el plano 64 - Cuadro resumen de las distintas posiciones de dos circunferencias - 4º grupo de Ls. Gs, referentes a la circunferencia - Tangentes comunes a dos circunferencias dadas
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CAPITULO IV. – Puntos singulares del triángulo 85 - Circunferencia circunscrita a un triángulo - Bisectrices de un triángulo - Circunferencia inscrita a un triángulo - Circunferencia inscrita a un triángulo - Alturas de un triángulo - Transversales de gravedad de un triángulo CAPITULO V.-. Figuras inscritas y circunscritas 100 - Propiedades del cuadrilátero inscrito - Propiedades del cuadrilátero circunscrito - Algunas indicaciones para la construcción de figuras circunscritas - Indicaciones para la construcción de trapecios - Indicaciones para la construcción del trapezoide CAPITULO VI – Equivalencia transformación, división y multiplicación de áreas de las figuras planas 129 - Equivalencias de #s, ∆s y trapecios - Proyecciones de un trazo sobre una recta - Teorema de Euclides y de Pitágoras - Transformación de figuras planas (Problemas) - División de figuras planas (Problemas) - Multiplicación de áreas (Problemas) CAPITULO VII – Cálculo de las áreas de las figuras rectilíneas 172 - Medición de trazos - Area del rectángulo y del cuadrado - Area de un paralelogramo oblicuo y del ∆ - Area del rombo (En función de los diagonales) - Area del trapecio - Area de un polígono regular de n lados - Area de un polígono irregular - Problemas solucionables por la materia de 4º año de Humanidades
propuestos en el Bachillerato
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