Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 192
... of solids . There are three combinations of related parts of the subject into single sections : prisms and cylinders , pyra- mids and cones , and polyhedral angles and spherical poly- iv PREFACE DEFINITIONS AND FORMULAS.
... of solids . There are three combinations of related parts of the subject into single sections : prisms and cylinders , pyra- mids and cones , and polyhedral angles and spherical poly- iv PREFACE DEFINITIONS AND FORMULAS.
Seite 192
... PRISM AND THE CYLINDER II . THE PYRAMID AND THE CONE SUMMARY OF PROPOSITIONS ORAL AND REVIEW QUESTIONS GENERAL EXERCISES • • · • 278-292 · 293-304 · 305-307 308 · · 308-313 BOOK VIII . - POLYHEDRAL ANGLES AND THE SPHERE I. vii.
... PRISM AND THE CYLINDER II . THE PYRAMID AND THE CONE SUMMARY OF PROPOSITIONS ORAL AND REVIEW QUESTIONS GENERAL EXERCISES • • · • 278-292 · 293-304 · 305-307 308 · · 308-313 BOOK VIII . - POLYHEDRAL ANGLES AND THE SPHERE I. vii.
Seite 192
... prisms 116 pyramids 159 Edges sets of prisms 172 64 , 97 , 99 , 110 , 151 , 154 , 312 spheres 195 Elements 104 , 145 Classification 203 Equality of lunes 287 Clockwise motion 260 Equilateral triangles 239 Closed surfaces 105 , 147 ...
... prisms 116 pyramids 159 Edges sets of prisms 172 64 , 97 , 99 , 110 , 151 , 154 , 312 spheres 195 Elements 104 , 145 Classification 203 Equality of lunes 287 Clockwise motion 260 Equilateral triangles 239 Closed surfaces 105 , 147 ...
Seite 192
... prism 116 lines parallel to 41 , 43 of pyramid 159 lines perpendicular to 50 , 53 of sets of prisms 175 parallel 21 , 39 , 41 Loci 88 Logic Lunes Material spheres Measuring angles 210 , 318 259 , 285-296 relative positions of Polar ...
... prism 116 lines parallel to 41 , 43 of pyramid 159 lines perpendicular to 50 , 53 of sets of prisms 175 parallel 21 , 39 , 41 Loci 88 Logic Lunes Material spheres Measuring angles 210 , 318 259 , 285-296 relative positions of Polar ...
Seite 192
... Prisms , defined 110 , 113 Spherical figures angles 222 , 225 , 226 inscribed and circum- cones 303 scribed 172 polygons 237 , 258 Projections 77 pyramids 305 Pyramidal space 147 sectors 303 Pyramidal surface 145 segments 309 , 310 ...
... Prisms , defined 110 , 113 Spherical figures angles 222 , 225 , 226 inscribed and circum- cones 303 scribed 172 polygons 237 , 258 Projections 77 pyramids 305 Pyramidal space 147 sectors 303 Pyramidal surface 145 segments 309 , 310 ...
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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.