The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
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Seite 6
... greater than the opening between OA and OB . This we express by saying that the angle AOC is greater than the angle AOB . The magnitude or size of an angle depends entirely upon the extent of opening between its sides , and is not ...
... greater than the opening between OA and OB . This we express by saying that the angle AOC is greater than the angle AOB . The magnitude or size of an angle depends entirely upon the extent of opening between its sides , and is not ...
Seite 7
... greater than a right angle , and less than a straight angle , as the angle BAC . 24. When the sum of two angles is a right angle , each is called the complement of the other , and the A B Fig . II two are called complementary angles ...
... greater than a right angle , and less than a straight angle , as the angle BAC . 24. When the sum of two angles is a right angle , each is called the complement of the other , and the A B Fig . II two are called complementary angles ...
Seite 8
... greater as the quantity of turning is greater . Thus , suppose that the right line . OP ( Fig . 15 ) is capable of revolv- ing about the point O , like the hands of a watch , but in the oppo- site direction , and that it has passed ...
... greater as the quantity of turning is greater . Thus , suppose that the right line . OP ( Fig . 15 ) is capable of revolv- ing about the point O , like the hands of a watch , but in the oppo- site direction , and that it has passed ...
Seite 9
... greater than the angle AOB . When the revolving line OP turns from coincidence with OA to the position OB it is said to describe or to generate the angle AOB . When the revolving line has turned from the position OA to the position OD ...
... greater than the angle AOB . When the revolving line OP turns from coincidence with OA to the position OB it is said to describe or to generate the angle AOB . When the revolving line has turned from the position OA to the position OD ...
Seite 12
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . GEOMETRIC AXIOMS . 10. A straight line is the shortest distance between any two points . 11. If two straight lines have two points in common , they will ...
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . GEOMETRIC AXIOMS . 10. A straight line is the shortest distance between any two points . 11. If two straight lines have two points in common , they will ...
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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.