On the Foundation And Technic of Arithmetic
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Every summit is said to be opposite to the face made by the other three; every edge opposite to that made by the two remaining summits.
A polyhedron is the figure formed by n plane polygons such that each side is common to two. The polygons are called its faces; their sects its edges; their vertices its summits.
One-third the product of the area of a face by the length of the perpendicular to it from the opposite vertex is the volume of the tetrahedron.
The volume of a polyhedron is the sum of ...the vol- umes of any set of tetrahedra into which it is cut.
A prismatoid is a polyhedron with no summits other than the vertices of two parallel faces.
The altitude of a prismatoid is the perpendicular from top to base.
MENSURATION. 79 A number of different prismatoids thus have the same base, top, and altitude.
If both base and top of a prismatoid are sects, it is a tetrahedron.
A section or cross-cut of a prismatoid is the polygon determined by a plane perpendicular to the altitude.
To find the volume of any prismatoid.
What to read after On the Foundation And Technic of Arithmetic?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Every summit is said to be opposite to the face made by the other three; every edge opposite to that made by the two remaining summits.
A polyhedron is the figure formed by n plane polygons such that each side is common to two. The polygons are called its faces; their sects its edges; their vertices its summits.
One-third the product of the area of a face by the length of the perpendicular to it from the opposite vertex is the volume of the tetrahedron.
The volume of a polyhedron is the sum of ...the vol- umes of any set of tetrahedra into which it is cut.
A prismatoid is a polyhedron with no summits other than the vertices of two parallel faces.
The altitude of a prismatoid is the perpendicular from top to base.
MENSURATION. 79 A number of different prismatoids thus have the same base, top, and altitude.
If both base and top of a prismatoid are sects, it is a tetrahedron.
A section or cross-cut of a prismatoid is the polygon determined by a plane perpendicular to the altitude.
To find the volume of any prismatoid.
What to read after On the Foundation And Technic of Arithmetic?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
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