Plane and Solid GeometryAmerican Book Company, 1907 - 412 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 75.
Σελίδα 79
... diameter is a straight line containing the center , and whose extremities are in the circumference . O O O O CIRCUMFERENCE CIRCLE RADIUS DIAMETER SECANT CHORD TANGENT POINT OF CONTACT CENTRAL ANGLE INSCRIBED ANGLE ARC SEMI ...
... diameter is a straight line containing the center , and whose extremities are in the circumference . O O O O CIRCUMFERENCE CIRCLE RADIUS DIAMETER SECANT CHORD TANGENT POINT OF CONTACT CENTRAL ANGLE INSCRIBED ANGLE ARC SEMI ...
Σελίδα 80
... diameter . 198. Two circles are tangent to each other if they are tan- gent to the same line at the same point . Circles may be tangent to each other internally , if the one is within the other , or externally , if each is without the ...
... diameter . 198. Two circles are tangent to each other if they are tan- gent to the same line at the same point . Circles may be tangent to each other internally , if the one is within the other , or externally , if each is without the ...
Σελίδα 81
... diameter of a circle equals twice the radius . 203. THEOREM . All diameters of the same or equal circlès are equal . ( Ax . 3. ) 204. THEOREM . The diameter of a circle bisects the circle and the circumference . Given : Any O and a diameter ...
... diameter of a circle equals twice the radius . 203. THEOREM . All diameters of the same or equal circlès are equal . ( Ax . 3. ) 204. THEOREM . The diameter of a circle bisects the circle and the circumference . Given : Any O and a diameter ...
Σελίδα 85
... diameter perpendicular to a chord bisects the chord and both the subtended arcs . Given Diameter DRL to chord AB in O 0 . To Prove : I. AM = MB ; II . AR = RB and AD = DB . Proof : Draw radii to the ends of the chord . I. In rt . A OAM ...
... diameter perpendicular to a chord bisects the chord and both the subtended arcs . Given Diameter DRL to chord AB in O 0 . To Prove : I. AM = MB ; II . AR = RB and AD = DB . Proof : Draw radii to the ends of the chord . I. In rt . A OAM ...
Σελίδα 89
... ch . CD ( ? ) . At X draw a chord .. arc RS > arc But ch . AB = ch . RS ( ? ) . .. ch . AB > ch . CD ( Ax . 6 ) . 225. COR . The diameter is longer than any other chord . Q.E.D. 226. THEOREM . Through three points , not in the BOOK II 89.
... ch . CD ( ? ) . At X draw a chord .. arc RS > arc But ch . AB = ch . RS ( ? ) . .. ch . AB > ch . CD ( Ax . 6 ) . 225. COR . The diameter is longer than any other chord . Q.E.D. 226. THEOREM . Through three points , not in the BOOK II 89.
Άλλες εκδόσεις - Προβολή όλων
Plane and Solid Geometry (Classic Reprint) Edward Rutledge Robbins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle altitude angle adjoining angles are equal apothem base bisector bisects chord circular cone circumference circumscribed circumscribed circle construct a square cylinder diagonals diameter dihedral angles equilateral triangle equivalent exterior angle face angles figure Find the area frustum given line given point given triangle Hence homologous homologous sides hypotenuse inscribed regular intersecting isosceles triangle lateral area lateral edges line joining mean proportional measured by arc median meet midpoint mutually equiangular number of sides opposite parallel parallelepiped parallelogram Pass plane perimeter perpendicular plane MN polyhedron prism Proof Prove quadrilateral ratio rectangle regular hexagon regular polygon regular pyramid rhombus right angles right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle straight line surface tangent tetrahedron THEOREM total area trapezoid trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 139 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Σελίδα 228 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Σελίδα 41 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 47 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 241 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.
Σελίδα 146 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 12 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Σελίδα 143 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 268 - If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and...
Σελίδα 340 - The lateral area of a circular cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Let S denote the lateral area, P the perimeter of a right section, and E an element of the cylinder AC.