Plane and Solid GeometryMacmillan, 1902 - 370 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 59.
Σελίδα 76
... inscribed in a circle , if all its ver- tices are in the circumference . The circle is then said to be circumscribed about the polygon . PROPOSITION II . THEOREM 177. In the same circle , or equal circles , equal arcs are subtended by ...
... inscribed in a circle , if all its ver- tices are in the circumference . The circle is then said to be circumscribed about the polygon . PROPOSITION II . THEOREM 177. In the same circle , or equal circles , equal arcs are subtended by ...
Σελίδα 77
... inscribed in a circle are equal . Ex . 310. The radii drawn to the vertices of B D an inscribed equilateral hexagon divide the figure into six equilateral triangles . PROPOSITION III . THEOREM 178. A radius perpendicular to a THE CIRCLE 77.
... inscribed in a circle are equal . Ex . 310. The radii drawn to the vertices of B D an inscribed equilateral hexagon divide the figure into six equilateral triangles . PROPOSITION III . THEOREM 178. A radius perpendicular to a THE CIRCLE 77.
Σελίδα 83
... a portion of a circle bounded by a chord and its arc . A sector of a circle is a portion of a circle bounded by two radii and their intercepted arc . ] Ex . 328. The side of an equilateral hexagon inscribed THE CIRCLE 83.
... a portion of a circle bounded by a chord and its arc . A sector of a circle is a portion of a circle bounded by two radii and their intercepted arc . ] Ex . 328. The side of an equilateral hexagon inscribed THE CIRCLE 83.
Σελίδα 84
... inscribed in a circle is nearer to the center than the side of an equilateral heptagon inscribed in the same circle , and more remote from the center than the side of an equi- lateral pentagon inscribed in the same circle . Ex . 329 ...
... inscribed in a circle is nearer to the center than the side of an equilateral heptagon inscribed in the same circle , and more remote from the center than the side of an equi- lateral pentagon inscribed in the same circle . Ex . 329 ...
Σελίδα 93
... any central angle is equal to the numerical measure of the intercepted arc , or more briefly : 216. A central angle is measured by the intercepted arc . DEFINITIONS 217. An inscribed angle of a circle is one LIMITS 93.
... any central angle is equal to the numerical measure of the intercepted arc , or more briefly : 216. A central angle is measured by the intercepted arc . DEFINITIONS 217. An inscribed angle of a circle is one LIMITS 93.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segment similar triangles sphere spherical polygon spherical triangle square straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle 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 119 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 180 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 31 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Σελίδα 250 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Σελίδα 297 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Σελίδα 105 - I. When the given point, A, is in the circumference. HINT. — What is the angle formed by a radius and a tangent at its extremity ? II. When the given point, A, is without the circle. \ Construction. Join A, and 0 the center of the given circle. On OA as a diameter, construct a circumference, intersecting the given circumference in B and C.
Σελίδα 276 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. GM is a right section of oblique prism AD', and OM ' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =s= GM'. Proof. The lateral edges of GM