The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Resultat 1-5 av 34
Side 1
... surface is the limit or boundary of a solid , and has only two dimensions , length and breadth . A surface has no thickness , for if it had any , however small , it would form part of the solid , and would be space of three dimen- sions ...
... surface is the limit or boundary of a solid , and has only two dimensions , length and breadth . A surface has no thickness , for if it had any , however small , it would form part of the solid , and would be space of three dimen- sions ...
Side 2
... surface . This surface can have no thickness , for if it had a thickness , however small , it would be a part either of the one solid or the other , and would therefore be a solid and not a surface . Again , if we suppose a surface cut ...
... surface . This surface can have no thickness , for if it had a thickness , however small , it would be a part either of the one solid or the other , and would therefore be a solid and not a surface . Again , if we suppose a surface cut ...
Side 3
... surface as generated by the motion of a line , and a solid as generated by the motion of a surface . Again , each of these may be re- garded in a purely abstract manner , distinct from each ... surface . Lines , surfaces INTRODUCTION . 3.
... surface as generated by the motion of a line , and a solid as generated by the motion of a surface . Again , each of these may be re- garded in a purely abstract manner , distinct from each ... surface . Lines , surfaces INTRODUCTION . 3.
Side 4
With Numerous Exercises Edward Albert Bowser. of the points in its surface . Lines , surfaces , and solids are the geometric figures . When the extent of lines , surfaces , and solids is considered they are called magnitudes , but when ...
With Numerous Exercises Edward Albert Bowser. of the points in its surface . Lines , surfaces , and solids are the geometric figures . When the extent of lines , surfaces , and solids is considered they are called magnitudes , but when ...
Side 52
... surface are called interior angles . An exterior angle of a polygon is an angle between any side and the continuation of an adjacent side . A diagonal is a line joining any two vertices that are not consecutive ; as AD . 139. Polygons ...
... surface are called interior angles . An exterior angle of a polygon is an angle between any side and the continuation of an adjacent side . A diagonal is a line joining any two vertices that are not consecutive ; as AD . 139. Polygons ...
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The Elements of Plane and Solid Geometry: With Numerous Exercises Edward Albert Bowser Uten tilgangsbegrensning - 1891 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant 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 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
Populære avsnitt
Side 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.
Side 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.
Side 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'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 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.
Side 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Side 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.
Side 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 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.