Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 1
... called a geometrical solid . A physical solid is the material occupying the space . Geometry treats only of the form ... called surfaces . They have only two dimensions , length and breadth ; and are , therefore , no part of the solid ...
... called a geometrical solid . A physical solid is the material occupying the space . Geometry treats only of the form ... called surfaces . They have only two dimensions , length and breadth ; and are , therefore , no part of the solid ...
Σελίδα 2
... called simply a line . 10. A curved line is one that changes its direction at every point . 11. A broken line is a line com- posed of straight lines lying in dif- erent directions . 12. A surface is called a plane when the straight line ...
... called simply a line . 10. A curved line is one that changes its direction at every point . 11. A broken line is a line com- posed of straight lines lying in dif- erent directions . 12. A surface is called a plane when the straight line ...
Σελίδα 3
... called propositions . 7. A corollary is an obvious consequence of one or more propositions or other premises . 8. A scholium is a remark made upon one or more propositions , showing their connection , use , extension , or limitation . 9 ...
... called propositions . 7. A corollary is an obvious consequence of one or more propositions or other premises . 8. A scholium is a remark made upon one or more propositions , showing their connection , use , extension , or limitation . 9 ...
Σελίδα 5
... two straight lines drawn from the same point ; as , AOB . The common point , O , is called the vertex ; the lines OA and OB , the sides of the angle . B A An angle may be designated by the letter at the LINES AND ANGLES.
... two straight lines drawn from the same point ; as , AOB . The common point , O , is called the vertex ; the lines OA and OB , the sides of the angle . B A An angle may be designated by the letter at the LINES AND ANGLES.
Σελίδα 6
... called an extended angle . B The two sides of an extended angle lie in the same straight line . B ' A DEF . 3. A ... called an oblique B / A line ; and the angles it forms with OA , oblique angles ; as , ZAOB ' , or ZAOB . DEF . 6. An ...
... called an extended angle . B The two sides of an extended angle lie in the same straight line . B ' A DEF . 3. A ... called an oblique B / A line ; and the angles it forms with OA , oblique angles ; as , ZAOB ' , or ZAOB . DEF . 6. An ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angles are equal anharmonic ratio bisect called centre chord circle circumference circumscribed polygon cone congruent construct cylinder diagonals diameter dihedrals distance divided draw equal altitudes equal bases equally distant equations equiangular EXERCISE exterior angle face angles formed frustum Geometry harmonically hence homologous HYPOTH infinite number inscribed angle intersection lateral edges line joining lines drawn locus middle point number of sides Olney's opposite sides P₁ parallel lines parallelogram parallelopiped pass perpendicular plane angle point of contact polar pole polyhedral polyhedron prism Problem PROOF proportional PROVED pyramid quadrilateral radical axis radii radius rectangle regular polygon right angles SCHOLIUM segments solid angle sphere spherical excess spherical polygon spherical triangle square straight line symmetrical tangent Theorem triangle ABC trihedrals vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 19 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 34 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 14 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Σελίδα 75 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 170 - 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.
Σελίδα 69 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.