Analytic geometry
Al-Kashi, Heron,Bretschneider’s, Brahmagupta’s and Coolidge formulas
The Bretscheiner’s formula helps find the area of a non-cyclic quadrilateral, that cannot be inscribed in a circle, using only side lengths and possibly one angle measure or one diagonal length. After the Bretschneider’s formula, […]
Analytic geometry
Inscribed Circles from the Lounge
Inscribed circles, from the lounge Problem 23: A circle of center has been inscribed in a square ABCD, of side 16 meters. In the following figure, a smaller circle of center and tangent of Circle […]
Algèbre
Progressions et series
Progressions et suites Le document qui suit n’est qu’un simple sommaire sur les progressions. Nous allons explorer quelques applications pratiques du calcul des progressions. Imaginer quelqu’un qui se lève le matin et note tout ce […]
Geometry
CIRCLES IN ORBITS
CIRCLES IN ORBITS The length of segment is . The circles are in an orbit. Looking at the figure above, the circle is in orbit 1, circle is in orbit 2 and circle is in […]
Trigonometry
Spherical trigonometry
Spherical trigonometry The spherical trigonometry is the branch of spherical geometry which deals with spherical triangles defined by great circles on the sphere. It allows us to calculate the trigonometric functions of the sides and […]
Fonctions trigonométriques élémentaires
Fonctions trigonométriques élémentaires Après l’introduction des trois fonctions trigonométriques (Sinus, cosinus et tangente) d’un angle , nous allons introduire leurs inverses à ne pas confondre avec les fonctions inverses. Sécante: C’est l’inverse de la fonction […]
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