Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 12
... medians of the triangle . PROPOSITION II . THEOREM 68. Two triangles are equal when a side and two adjacent angles of the one are equal respectively to a side and two adjacent angles of the other . A B ' Hyp . In triangles ABC and A'B'C ...
... medians of the triangle . PROPOSITION II . THEOREM 68. Two triangles are equal when a side and two adjacent angles of the one are equal respectively to a side and two adjacent angles of the other . A B ' Hyp . In triangles ABC and A'B'C ...
Σελίδα 13
... medians drawn from A and A ' respectively homologous medians , etc. Ex . 32. If a perpendicular be erected at any point upon the bisector of an angle to meet the sides of the angle , two equal triangles are formed . Ex . 33. If through ...
... medians drawn from A and A ' respectively homologous medians , etc. Ex . 32. If a perpendicular be erected at any point upon the bisector of an angle to meet the sides of the angle , two equal triangles are formed . Ex . 33. If through ...
Σελίδα 31
... median to the base of an isosceles triangle is perpendicular to the base . Ex . 119. If a quadrilateral has two pairs of equal adjacent sides , the angles included by the unequal sides are equal . Ex . 120. The medians to the arms of an ...
... median to the base of an isosceles triangle is perpendicular to the base . Ex . 119. If a quadrilateral has two pairs of equal adjacent sides , the angles included by the unequal sides are equal . Ex . 120. The medians to the arms of an ...
Σελίδα 32
... median to one of these sides are equal respectively to two sides and the homologous median of the other . Ex . 126. Two isosceles triangles are equal if one angle and the altitude upon one arm of one triangle are equal respectively to ...
... median to one of these sides are equal respectively to two sides and the homologous median of the other . Ex . 126. Two isosceles triangles are equal if one angle and the altitude upon one arm of one triangle are equal respectively to ...
Σελίδα 33
... median , and altitude to the base of one triangle are equal respec- tively to the base , the median , and alti- tude to the base of the other . Ex . 134. If two circles intersect in A and B , a line joining their centers bisects AB in E ...
... median , and altitude to the base of one triangle are equal respec- tively to the base , the median , and alti- tude to the base of the other . Ex . 134. If two circles intersect in A and B , a line joining their centers bisects AB in E ...
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 a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous 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 point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 150 - If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Σελίδα 180 - Two triangles having 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.
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 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 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 312 - The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii. Let S, S' denote the lateral areas, T, T...
Σελίδα 149 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 328 - Every section of a sphere made by a plane is a circle.
Σελίδα 257 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.