Plane and Solid GeometryGinn, 1904 - 473 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 9
... sides , and E , F the point of meeting , is called the vertex of the angle . E -D FIG . 7 . The size of an angle depends upon the extent of opening of its sides , and not upon the length of its sides . 58. If there is but one angle at a ...
... sides , and E , F the point of meeting , is called the vertex of the angle . E -D FIG . 7 . The size of an angle depends upon the extent of opening of its sides , and not upon the length of its sides . 58. If there is but one angle at a ...
Σελίδα 10
... sides AD and AC . An angle is often designated by placing a small italic letter between the sides and near the vertex , as in Fig . 9 . E CD B A F FIG . 8 . a A B FIG . 9 . 59. Postulate of Superposition . Any figure may be moved from ...
... sides AD and AC . An angle is often designated by placing a small italic letter between the sides and near the vertex , as in Fig . 9 . E CD B A F FIG . 8 . a A B FIG . 9 . 59. Postulate of Superposition . Any figure may be moved from ...
Σελίδα 14
... side ED be placed on the side BA , so that the vertex E shall fall on B ; then , if the side EF falls on BC , the angle DEF equals the angle ABC ; if the side EF falls between E H -G -D B FIG . 19 . A BC and BA in the position shown by ...
... side ED be placed on the side BA , so that the vertex E shall fall on B ; then , if the side EF falls on BC , the angle DEF equals the angle ABC ; if the side EF falls between E H -G -D B FIG . 19 . A BC and BA in the position shown by ...
Σελίδα 17
... sides are in the same straight line . A C F B Let the adjacent angles OCA and OCB be supplementary . To prove that AC and CB are in the same straight line . Proof . Suppose CF to be in the same line with AC . Then OCA and OCF are ...
... sides are in the same straight line . A C F B Let the adjacent angles OCA and OCB be supplementary . To prove that AC and CB are in the same straight line . Proof . Suppose CF to be in the same line with AC . Then OCA and OCF are ...
Σελίδα 30
... sides are equal ; an isosceles triangle , when two of its sides are equal ; an equilateral triangle , when its three sides are equal . AAAA Right . Obtuse . Acute . Equiangular . 121. A triangle is called a right triangle , when 30 BOOK ...
... sides are equal ; an isosceles triangle , when two of its sides are equal ; an equilateral triangle , when its three sides are equal . AAAA Right . Obtuse . Acute . Equiangular . 121. A triangle is called a right triangle , when 30 BOOK ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 44 - If two triangles have two sides of the 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 276 - 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 plane.
Σελίδα 52 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 43 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 193 - 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. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB X AC Now and A ADE AD X AE Draw BE.
Σελίδα 362 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 171 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Σελίδα 73 - The sum of the perpendiculars dropped from any point within an equilateral triangle to the three sides is constant, and equal to the altitude.
Σελίδα 385 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.
Σελίδα 77 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.