Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 páginas |
Dentro del libro
Resultados 1-5 de 20
Página
... direction of two lines drawn from the same point . It is taken in this sense in surveying , astronomy , and all applied mathematics . As to the propriety of introducing the idea of motion in these funda- mental definitions , I find but ...
... direction of two lines drawn from the same point . It is taken in this sense in surveying , astronomy , and all applied mathematics . As to the propriety of introducing the idea of motion in these funda- mental definitions , I find but ...
Página 1
... directions . A limited portion of space is called a geometrical solid . A physical solid is the material occupying the space . Geometry treats only of the form and magnitude of the solid . The ... direction in which the point is supposed to.
... directions . A limited portion of space is called a geometrical solid . A physical solid is the material occupying the space . Geometry treats only of the form and magnitude of the solid . The ... direction in which the point is supposed to.
Página 2
... 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 joining any two of its points lies wholly in the surface . 13. A ...
... 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 joining any two of its points lies wholly in the surface . 13. A ...
Página 5
... direction of 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.
... direction of 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.
Página 6
... direction as , OA . If OB be turned in the opposite direction about the point O , the angle AOB will increase . When OB lies in the opposite direction of OA , the angle AOB is called an extended angle . B The two sides of an extended ...
... direction as , OA . If OB be turned in the opposite direction about the point O , the angle AOB will increase . When OB lies in the opposite direction of OA , the angle AOB is called an extended angle . B The two sides of an extended ...
Términos y frases comunes
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
Pasajes populares
Página 19 - IF two triangles have two sides of the one equal to two sides of the...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.