Plane and Solid GeometryAmerican Book Company, 1907 - 412 σελίδες |
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Αποτελέσματα 1 - 5 από τα 57.
Σελίδα 18
... half a straight angle . Because of the definition of a right angle . ( See 16. ) 37. A straight angle is equal to two right angles . ( See 36. ) 38. Two straight lines can intersect in only one point . Because they would coincide ...
... half a straight angle . Because of the definition of a right angle . ( See 16. ) 37. A straight angle is equal to two right angles . ( See 36. ) 38. Two straight lines can intersect in only one point . Because they would coincide ...
Σελίδα 19
... half a straight ; hence each is a rt . Z. ( See 36. ) NOTE . A single number , given as a reference , always signifies the truth stated in that paragraph and is usually the statement in full face type only . In reciting or writing the ...
... half a straight ; hence each is a rt . Z. ( See 36. ) NOTE . A single number , given as a reference , always signifies the truth stated in that paragraph and is usually the statement in full face type only . In reciting or writing the ...
Σελίδα 27
... half of PDS . Now PRS is a straight line ( Const . ) . .. PDS is not a straight line ( 39 ) . ..≤ PDS is not a straight angle ( 18 ) . ../ PDR , the half of △ PDS , is not a right angle ( 36 ) . .. PD is not ( 17 ) . .. PR is the only ...
... half of PDS . Now PRS is a straight line ( Const . ) . .. PDS is not a straight line ( 39 ) . ..≤ PDS is not a straight angle ( 18 ) . ../ PDR , the half of △ PDS , is not a right angle ( 36 ) . .. PD is not ( 17 ) . .. PR is the only ...
Σελίδα 49
... half of it . the Given : A ABC ; M , midpoint of AB ; P , the midpoint of BC ; line MP . To Prove : MP to AC and MP = 1 AC . R Proof : Suppose AR is drawn through A , || to BC and meeting MP produced at R. = BM ( Hyp . ) ; ≤ x = Le ...
... half of it . the Given : A ABC ; M , midpoint of AB ; P , the midpoint of BC ; line MP . To Prove : MP to AC and MP = 1 AC . R Proof : Suppose AR is drawn through A , || to BC and meeting MP produced at R. = BM ( Hyp . ) ; ≤ x = Le ...
Σελίδα 50
... half the sum of the bases . Given : Trapezoid ABCD ; M , the midpoint of AB ; MP || to AD , meeting CD at P. To Prove : I. P is the midpoint of CD . II . MP is the median . III . MP = } ( AD + BC ) . Proof : I. Draw diagonal BD ...
... half the sum of the bases . Given : Trapezoid ABCD ; M , the midpoint of AB ; MP || to AD , meeting CD at P. To Prove : I. P is the midpoint of CD . II . MP is the median . III . MP = } ( AD + BC ) . Proof : I. Draw diagonal BD ...
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.