Plane and Solid GeometryAmerican Book Company, 1907 - 412 σελίδες |
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Αποτελέσματα 1 - 5 από τα 37.
Σελίδα 26
... cuts AB at 0 . Draw OD . B P DO + OP > PD . ( Why ? ) ( Ax . 12. ) But co = OD ( 67 ) . .. CO + OP > PD . ( Substitution ; Ax . 6. ) That is , PC > PD , or PC is not = PD . Q.E.D. 69. THEOREM . If a point is equally distant from 26 ...
... cuts AB at 0 . Draw OD . B P DO + OP > PD . ( Why ? ) ( Ax . 12. ) But co = OD ( 67 ) . .. CO + OP > PD . ( Substitution ; Ax . 6. ) That is , PC > PD , or PC is not = PD . Q.E.D. 69. THEOREM . If a point is equally distant from 26 ...
Σελίδα 30
... cutting off equal distances from the foot of the perpendicular will be equal . II . Equal oblique lines will cut off equal distances ( converse ) . III . Oblique lines cutting off unequal distances will be unequal , and that one which cuts ...
... cutting off equal distances from the foot of the perpendicular will be equal . II . Equal oblique lines will cut off equal distances ( converse ) . III . Oblique lines cutting off unequal distances will be unequal , and that one which cuts ...
Σελίδα 37
... to CD ( Hyp . ) . Now CD and xy both contain M ( Const . ) . .. CD and XY coincide ( 92 ) . B AB is to Xr ( ? ) ( 93 ) . But LM is to XY ( ? ) . That is , LM is to CD . Q.E.D. 96. If one line cuts other lines , it is BOOK I 37.
... to CD ( Hyp . ) . Now CD and xy both contain M ( Const . ) . .. CD and XY coincide ( 92 ) . B AB is to Xr ( ? ) ( 93 ) . But LM is to XY ( ? ) . That is , LM is to CD . Q.E.D. 96. If one line cuts other lines , it is BOOK I 37.
Σελίδα 38
Edward Rutledge Robbins. 96. If one line cuts other lines , it is called a transversal . Angles are formed at the ... cutting the Ils at H and K. To Prove : a = Li and Lx = Lv . Proof : Suppose through M , the midpoint of HK , RS is ...
Edward Rutledge Robbins. 96. If one line cuts other lines , it is called a transversal . Angles are formed at the ... cutting the Ils at H and K. To Prove : a = Li and Lx = Lv . Proof : Suppose through M , the midpoint of HK , RS is ...
Σελίδα 39
... cutting the lls and forming the 84 . To Prove : 8 = Li ; Lo < A m = < r ; Lo = La ; ≤ n = < m . c- Proof : 8 = a ( 51 ) ; La = Zi ( 97 ) ... Z8 = Zi ( ? ) . < c = 2m ( ? ) ; ≤ m = ≤r ( ? ) . ../c=2r ( ? ) . Etc. Q.E.D. 99. THEOREM ...
... cutting the lls and forming the 84 . To Prove : 8 = Li ; Lo < A m = < r ; Lo = La ; ≤ n = < m . c- Proof : 8 = a ( 51 ) ; La = Zi ( 97 ) ... Z8 = Zi ( ? ) . < c = 2m ( ? ) ; ≤ m = ≤r ( ? ) . ../c=2r ( ? ) . Etc. Q.E.D. 99. THEOREM ...
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.