Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
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Αποτελέσματα 1 - 5 από τα 63.
Σελίδα 93
... lateral are equal , the figure is a parallelogram . [ SUG . 2x + 2y = 360 ° , etc. ] يع ( 2 2 U 194. Use of auxiliary lines . Inequalities . The demon- stration of a property of a geometrical figure is frequently facilitated by drawing ...
... lateral are equal , the figure is a parallelogram . [ SUG . 2x + 2y = 360 ° , etc. ] يع ( 2 2 U 194. Use of auxiliary lines . Inequalities . The demon- stration of a property of a geometrical figure is frequently facilitated by drawing ...
Σελίδα 102
... order , form a rhombus or a square . Ex . 45. The bisectors of the angles of a trapezoid form a quadri- lateral whose opposite angles are supplementary , BOOK II THE CIRCLE 197. A circle is a portion 102 GEOMETRY BOOK I. PLANE.
... order , form a rhombus or a square . Ex . 45. The bisectors of the angles of a trapezoid form a quadri- lateral whose opposite angles are supplementary , BOOK II THE CIRCLE 197. A circle is a portion 102 GEOMETRY BOOK I. PLANE.
Σελίδα 137
... 9. If one side of an inscribed quadri- lateral be produced , the exterior angle so formed equals the opposite interior angle of the quadrilateral . R Ex . 10. If two tangents to a circle include EXERCISES ON THE CIRCLE 137.
... 9. If one side of an inscribed quadri- lateral be produced , the exterior angle so formed equals the opposite interior angle of the quadrilateral . R Ex . 10. If two tangents to a circle include EXERCISES ON THE CIRCLE 137.
Σελίδα 142
... vertices of the quadri- lateral ; if it does not pass through the remaining vertex , etc. ] Ex . 8. Prove the converse of Prop . XII , 269. A geometrical constant is a geometrical magui- tude which 142 BOOK II . PLANE GEOMETRY.
... vertices of the quadri- lateral ; if it does not pass through the remaining vertex , etc. ] Ex . 8. Prove the converse of Prop . XII , 269. A geometrical constant is a geometrical magui- tude which 142 BOOK II . PLANE GEOMETRY.
Σελίδα 256
... lateral be joined in order , the parallelogram thus formed is equivalent to one - half the quadrilateral . Ex . 6. A quadrilateral is equivalent to a triangle two of whose sides are the diagonals of the quadrilateral , the angle ...
... lateral be joined in order , the parallelogram thus formed is equivalent to one - half the quadrilateral . Ex . 6. A quadrilateral is equivalent to a triangle two of whose sides are the diagonals of the quadrilateral , the angle ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude base bisector bisects chord circumference circumscribed coincide cone of revolution denoted diagonal diameter dihedral angle divided equidistant equilateral triangle equivalent exterior angle figure Find the area Find the radius frustum geometric given circle given line given point Hence homologous sides hypotenuse intersect isosceles trapezoid isosceles triangle lateral area lateral edges Let the pupil line drawn measure midpoints number of sides opposite parallel lines parallelogram parallelopiped pass a plane perimeter perpendicular plane MN plane parallel polyhedron prism prismatoid produced proportional pyramid Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular polygon rhombus right angles right triangle secant segments similar slant height sphere spherical polygon spherical triangle square pyramid surface symmetrical tangent tetrahedron THEOREM trapezoid triangle ABC trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 54 - Every point in the bisector of an angle is equidistant from the sides of the angle. Hyp. Z DAB = Z DAC and 0 is any point in AD. To prove 0 is equidistant from AB and AC. Draw OP _L AB and OP' _L AC, and prove the equality of the two triangles.
Σελίδα 82 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 416 - Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abcd of the circular cone S-ABCD be parallel to the base. To prove that abcd is a circle.
Σελίδα 35 - The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line...
Σελίδα 193 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 450 - If two angles of a spherical triangle are equal, the sides opposite these angles are equal and the triangle is isosceles. Given the spherical triangle ABC, with angle B equal to angle C. To prove that AC = AB. Proof. Let A A'B'C ' be the polar triangle of A ABC.