Principles of Plane GeometryAllyn and Bacon, 1894 - 65 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles angle formed angle inscribed angle opposite angles are equal arcs intercepted base and altitude bisector Book centre chords subtending circumscribed circle Complementary angles construct a square construct a triangle construct the triangle COROLLARY diagonals diameter distance dividing a line double the number equal arcs equal circles equilateral polygon equilateral triangle equivalent exterior angles four quantities geometry given circle given line given point given square given triangle homologous sides hypotenuse Illustration included angle inscribed angle inscribed circle line bisecting line drawn line joining lines is equal median middle point number of sides oblique lines opposite angles opposite side parallel lines perimeter perpendicular PLANE GEOMETRY point equally distant Problem Proposition XVIII quadrilateral radius ratio regular polygon right angles right triangle SCHOLIUM segments similar polygons straight line supplementary angles SUPPLEMENTARY PROPOSITIONS tangent Theorem third side trapezoid triangle in terms triangles are equal variable vertex
Δημοφιλή αποσπάσματα
Σελίδα 47 - 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.
Σελίδα 44 - The perimeters of two similar polygons have the same ratio as any two corresponding sides.
Σελίδα 35 - An angle formed by two tangents is measured by half the difference of the intercepted arcs.
Σελίδα 24 - If four quantities are in proportion, they will be in proportion by INVERSION ; that is, the second will be to the first as the fourth to the third.
Σελίδα 14 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 59 - The side of a regular inscribed hexagon is equal to the radius of the circle.
Σελίδα 28 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 25 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 36 - Given, two sides of a triangle, and the angle opposite one of them, to construct the triangle. Let A and B be the given sides, and G the given angle.
Σελίδα 17 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.