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Elements of Geometry, After Legendre: With a Selection of Geometrical ...
Adrien Marie Legendre,Charles Scott Venable
Keine Leseprobe verfügbar - 2014
ABCD adjacent altitude apply base Book called centre chord circle circumference circumscribed common cone Construct contained convex surface cylinder demonstration described determine diagonals diameter diedral difference distance divided draw drawn edges equal equilateral equivalent Exercises exterior extremities faces feet figure Find follows formed four Geometric give given point greater half Hence homologous inscribed intersection join less limit locus manner mean measure meet middle point multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular placed plane polyedron polygon prism problem Prop proportional PROPOSITION pyramid radii radius ratio reason rectangle regular respectively right angles SCHOLIUM segment sides similar solid angle solution sphere spherical square straight line Suppose tangent tetraedron THEOREM third triangle triangle ABC triedral vertex vertices volume whole
Seite 255 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Seite 20 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Seite 54 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Seite 45 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 67 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Seite 107 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Seite 300 - The volume of a frustum of a cone is equivalent to the sum of the volumes of three cones whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and a mean proportional between the bases of the frustum.
Seite 276 - Scholium. The spherical ungula, bounded by the planes AMB, ANB, is to the whole solid sphere, as the angle A is to four right angles. For, the lunes being equal, the spherical ungulas will also be equal ; hence two spherical ungulas are to each other, as the angles formed by the planes which bound them. PROPOSITION XVIII.