Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 192
... Parallel figures lines and planes 14 Icosahedrons 98 , 256 sections 106 , 148 Inscribed figures summary of parallels 41 , 43 polyhedrons 195 three planes 39 prisms 116 two planes 21 pyramids 159 Parallelepipeds 125 , 127 sets of prisms ...
... Parallel figures lines and planes 14 Icosahedrons 98 , 256 sections 106 , 148 Inscribed figures summary of parallels 41 , 43 polyhedrons 195 three planes 39 prisms 116 two planes 21 pyramids 159 Parallelepipeds 125 , 127 sets of prisms ...
Seite 201
... A line perpendicular to one of two parallels is perpendicular to the other also . ( c ) Lines perpendicular to the same line are parallel . ( d ) Lines perpendicular to intersecting lines must meet USE OF PLANE GEOMETRY IN SOLID GEOMETRY ...
... A line perpendicular to one of two parallels is perpendicular to the other also . ( c ) Lines perpendicular to the same line are parallel . ( d ) Lines perpendicular to intersecting lines must meet USE OF PLANE GEOMETRY IN SOLID GEOMETRY ...
Seite 202
... intersecting lines , the bi- sectors of the angles between them ; from two parallel lines , the third parallel midway be- tween them . ( d ) Equidistant from three lines meeting in pairs , the incenter and three excenters of their ...
... intersecting lines , the bi- sectors of the angles between them ; from two parallel lines , the third parallel midway be- tween them . ( d ) Equidistant from three lines meeting in pairs , the incenter and three excenters of their ...
Seite 216
... planes , can be drawn by the use of sets of parallel lines . This , of course , is not true of solids the conditions of which require that some portion of a plane shown in the figure shall be a circle , or a polygon other than a ...
... planes , can be drawn by the use of sets of parallel lines . This , of course , is not true of solids the conditions of which require that some portion of a plane shown in the figure shall be a circle , or a polygon other than a ...
Seite 217
... planes are supposed to be opaque , all lines appar- ently covered by them ... plane . It should be noted that two lines that intersect in a drawing do not ... parallel lines , and perpendicular lines can be drawn with no instru- ment ...
... planes are supposed to be opaque , all lines appar- ently covered by them ... plane . It should be noted that two lines that intersect in a drawing do not ... parallel lines , and perpendicular lines can be drawn with no instru- ment ...
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Plane Geometry Developed by the Syllabus Method Eugene Randolph Smith Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
altitude angles are equal angles equal apothem axiom axis base bisects called central angles chord circular cylinder circumcenter circumference congruent Construct a triangle cube diagonal diameter dihedral angle distance divided draw drawn edge equal angles equilateral triangle equivalent exterior angle figure Find the area Find the locus Find the volume formula frustum given circle given line given point given sect hypotenuse intersecting lines isosceles triangle lateral area line parallel line perpendicular locus of points lune median meet method midpoints number of sides opposite sides pair parallel planes parallelepiped parallelogram perigon perimeter plane geometry points equidistant polyhedral angle polyhedron prism Prismatoid proof propositions prove pyramid quadrilateral radii rectangle regular inscribed regular polygon right angle right circular cone right triangle secant solid geometry spherical angle spherical polygon spherical triangle straight angle straight line surface tangent Theorem third side trapezoid triangle ABC unequal vertices
Beliebte Passagen
Seite 343 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Seite 329 - The sum of the sides of any spherical polygon is less than the circumference of a great circle.
Seite 297 - Every section of a circular cone made by a plane parallel to the base is a circle.
Seite 260 - The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane.
Seite 389 - The areas of two triangles which have 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 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Seite 73 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Seite 212 - To prove the conclusion, it is necessary to use the additional geometrical principle that but one parallel to a given line can be drawn through a given point.
Seite 304 - The volume of a circular cone is equal to one third the product of its base by its altitude.
Seite 311 - The greatest right circular cylinder that can be inscribed in a right circular cone is one whose altitude is one third that of the cone.