Solid GeometryG.H. Kent, 1921 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 72.
Σελίδα 260
... altitude , the median , and the per- pendicular bisector of the base are one and the same straight line . Prop . 14. If two angles of a triangle are equal , the sides opposite these angles are equal , and the triangle is isosceles ...
... altitude , the median , and the per- pendicular bisector of the base are one and the same straight line . Prop . 14. If two angles of a triangle are equal , the sides opposite these angles are equal , and the triangle is isosceles ...
Σελίδα 263
... altitudes of a triangle are concurrent . Prop . 69. The three medians of a triangle are concurrent . Prop . 70. The sum of the interior angles of a polygon is equal to as many right angles as twice the number of sides less four . Prop ...
... altitudes of a triangle are concurrent . Prop . 69. The three medians of a triangle are concurrent . Prop . 70. The sum of the interior angles of a polygon is equal to as many right angles as twice the number of sides less four . Prop ...
Σελίδα 264
... altitudes are in the same ratio as any two homologous sides . Prop . 87. If two polygons are similar , the diagonals drawn from homologous vertices divide them into the same number of similar triangles , similar each to each , and ...
... altitudes are in the same ratio as any two homologous sides . Prop . 87. If two polygons are similar , the diagonals drawn from homologous vertices divide them into the same number of similar triangles , similar each to each , and ...
Σελίδα 265
... altitude . Prop . 151 . The area of a triangle is equal to one half the product of its base and altitude . Prop . 151 , Cor . I. Two triangles are to each other as the products of their bases and altitudes . Prop . 151 , Cor . III . Two ...
... altitude . Prop . 151 . The area of a triangle is equal to one half the product of its base and altitude . Prop . 151 , Cor . I. Two triangles are to each other as the products of their bases and altitudes . Prop . 151 , Cor . III . Two ...
Σελίδα 319
... is called a regular prism . The perpendicular distance between the bases is called the altitude of the prism . A section of a prism made by a plane perpendicular PRISMS AND PARALLELEPIPEDS 319 PRISMS AND PARALLELEPIPEDS.
... is called a regular prism . The perpendicular distance between the bases is called the altitude of the prism . A section of a prism made by a plane perpendicular PRISMS AND PARALLELEPIPEDS 319 PRISMS AND PARALLELEPIPEDS.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A-BCD altitude angles are equal axis bisects centre circle circumscribed Conclusion cone of revolution congruent conical surface Consult Prop cube cylinder of revolution diagonals diameter dihedral angle distance equal respectively equidistant equilateral equivalent face angles Find the altitude Find the area Find the locus Find the ratio Find the volume frustum given plane given point homologous hypotenuse Hypothesis inscribed intersecting planes isosceles lateral area lateral edges lateral faces lower base lune oblique octahedron opposite parallel planes parallelogram perimeter plane determined plane MN plane parallel plane passing planes are parallel polyhedral angle prismatoidal formula Proposition radii rectangular parallelepiped regular polygons regular pyramid right angles right circular cone right prism right triangle skew lines slant height solid sphere is equal spherical polygon spherical triangle square straight line tangent total area triangular prism trihedral truncated vertex vertices zone
Δημοφιλή αποσπάσματα
Σελίδα 260 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 264 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 261 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 280 - If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to the line of the plane.
Σελίδα 263 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 385 - The volume of a frustum of a circular 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 the mean proportional between the bases of the frustum. Let V denote the volume, B the lewer base, b the upper base, H the altitude of a frustum of a circular cone.
Σελίδα 383 - The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S TrR2 R* If1' = ~R^ = "cT* = -D'*
Σελίδα 266 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 266 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 385 - The lateral area of a frustum of a cone of revolution is equal to the circumference of a section equidistant from its bases multiplied by its slant height.