Elements of Geometry: Plane and SolidAmerican Book Company, 1895 - 374 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 63
... lateral are equal , the figure is a parallelogram . D C A B Given : In the quadrilateral ABCD , 1 ° , AB equal to CD , BC equal to AD ; 2o , angle 4 equal to angle C , angle B to angle D ; To Prove In either case , ABCD is a ...
... lateral are equal , the figure is a parallelogram . D C A B Given : In the quadrilateral ABCD , 1 ° , AB equal to CD , BC equal to AD ; 2o , angle 4 equal to angle C , angle B to angle D ; To Prove In either case , ABCD is a ...
Σελίδα 77
... lateral is equal to the sum of the other two angles . ( 125 ) 149. The sum of the distances of any point in the base of an isosceles triangle from the arms , is constant ; i.e. , is always equal to the altitude upon an arm . ( 143 ) 150 ...
... lateral is equal to the sum of the other two angles . ( 125 ) 149. The sum of the distances of any point in the base of an isosceles triangle from the arms , is constant ; i.e. , is always equal to the altitude upon an arm . ( 143 ) 150 ...
Σελίδα 186
... lateral . 492. The lines joining the mid point of a diagonal of a quadrilateral with the opposite vertices , cut off one half the quadrilateral . 493. The sum of the squares of the sides of any quadrilateral is equivalent to the sum of ...
... lateral . 492. The lines joining the mid point of a diagonal of a quadrilateral with the opposite vertices , cut off one half the quadrilateral . 493. The sum of the squares of the sides of any quadrilateral is equivalent to the sum of ...
Σελίδα 207
... lateral , if the number of sides is odd . 571. Every equilateral polygon circumscribed about a circle is also equiangular , if the number of sides is odd . 572. Every equiangular polygon circumscribed about a circle is also equilateral ...
... lateral , if the number of sides is odd . 571. Every equilateral polygon circumscribed about a circle is also equiangular , if the number of sides is odd . 572. Every equiangular polygon circumscribed about a circle is also equilateral ...
Σελίδα 263
... lateral or convex surface of a prism is the sum of its lateral faces . EXERCISE 727. In the diagram above , if the prism MN is pentag- onal , what is the sum of the plane angles of the lateral dihedral angles ? 728. Supposing , as above ...
... lateral or convex surface of a prism is the sum of its lateral faces . EXERCISE 727. In the diagram above , if the prism MN is pentag- onal , what is the sum of the plane angles of the lateral dihedral angles ? 728. Supposing , as above ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² altitude angle formed apothem arc AC bisector bisects chord circumf circumference circumscribed coincide cone of revolution Const construct cylinder DEFINITION diagonals diagram for Prop diameter dihedral angles divided draw edges equiangular equiangular polygon equidistant equilateral triangle equivalent EXERCISE find a point frustum given circle given line given point given straight line greater homologous hypotenuse inscribed intercept interior angles intersecting isosceles triangle line drawn line joining locus meet mid point number of sides numerical measures parallel parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle polyhedron prism produced PROPOSITION Prove pyramid quadrilateral radii radius ratio rect rectangle regular polygon regular polyhedrons right angle right triangle SCHOLIUM secant segment similar slant height sphere spherical polygon spherical triangle square straight angle tangent THEOREM triangle ABC trihedral vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 308 - 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 298 - Sphere is a body bounded by a uniformly curved surface, all the points of which are equally distant from a point within called the center.
Σελίδα 283 - 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.
Σελίδα 113 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 373 - The object of these primers is to convey information in such a manner as to make it both intelligible and interesting to very young pupils, and so to discipline their minds as to incline them to more systematic after-studies. They are not only an aid to the pupil, but to the teacher, lightening the task of each by an agreeable, easy, and natural method of instruction.
Σελίδα 178 - ... the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle.
Σελίδα 123 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 118 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.
Σελίδα 179 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle.
Σελίδα 272 - Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent.