Elements of Geometry: Including Plane, Solid, and Spherical Geometry |
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Elements of Geometry, Including Plane, Solid, and Spherical Geometry ... George Washington Hull No preview available - 2017 |
Elements of Geometry: Including Plane, Solid, and Spherical Geometry George Washington Hull No preview available - 1897 |
Common terms and phrases
ABCD AC² AD² altitude angles are equal arc AC arc MN BC² bisector bisects centre chord circumference circumscribed cone construct a square COR.-The decagon Dem.-Draw diagonals diameter dicular dihedral angles divided draw EFGH equal altitudes equal circles equally distant equiangular equiangular polygon exterior angles Find the locus frustum given circle given point given straight line Given-ABC Given-P Hence homologous hypotenuse intersect isosceles triangle LABC lateral area line joining lines drawn measured by arc middle point number of sides parallelogram parallelopiped perimeter perpen perpendicular to MN plane MN polyhedral angle polyhedrons prism Proof.-For Prove Prove-That pyramid Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon right triangle SCHOLIUM segments slant height sphere spherical triangle square equivalent surface tangent tetrahedrons THEOREM triangle ABC unit of measure vertex vertices volume
Popular passages
Page 327 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Page 88 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 207 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 99 - In the same circle or in equal circles, equal chords are equally distant from the center; and conversely.
Page 152 - 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.
Page 10 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 392 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 176 - If from, a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and the external segment.
Page 258 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Page 39 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.