The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
Im Buch
Ergebnisse 1-5 von 37
Seite 1
... length , breadth , thickness , form , and position . The mate- rial body occupying any portion of space is called a ... length , breadth , and thickness . Length , breadth , and thickness are called the three dimensions of the solid . 3 ...
... length , breadth , thickness , form , and position . The mate- rial body occupying any portion of space is called a ... length , breadth , and thickness . Length , breadth , and thickness are called the three dimensions of the solid . 3 ...
Seite 2
... length , breadth , nor thickness . A point has no length , for if it had any , however small , it would form part of the line of which it is the extremity ; and it can have neither breadth nor thickness because the line has none . 6. If ...
... length , breadth , nor thickness . A point has no length , for if it had any , however small , it would form part of the line of which it is the extremity ; and it can have neither breadth nor thickness because the line has none . 6. If ...
Seite 3
... length . Likewise we may suppose a point to exist in space sepa- rately from the line , and to have only position . The points , lines , surfaces , and solids of Geometry are called geometric points , lines , surfaces , and solids . 8 ...
... length . Likewise we may suppose a point to exist in space sepa- rately from the line , and to have only position . The points , lines , surfaces , and solids of Geometry are called geometric points , lines , surfaces , and solids . 8 ...
Seite 4
... length , when the extremities of the one line can be made to coincide respectively with the extremities of the other . If any line , as OB , be produced through O to A , the parts OB and OA A- are said to have opposite directions from ...
... length , when the extremities of the one line can be made to coincide respectively with the extremities of the other . If any line , as OB , be produced through O to A , the parts OB and OA A- are said to have opposite directions from ...
Seite 6
... length of its sides . 18. Angles are equal when they can be placed one upon the other so that the vertex and sides of the one can be made to coincide with the vertex and sides of the other . Thus the angles ABC and DEF are equal if ABC ...
... length of its sides . 18. Angles are equal when they can be placed one upon the other so that the vertex and sides of the one can be made to coincide with the vertex and sides of the other . Thus the angles ABC and DEF are equal if ABC ...
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Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Beliebte Passagen
Seite 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Seite 188 - 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.
Seite 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Seite 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Seite 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Seite 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Seite 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Seite 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Seite 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.