Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 3
... called Plane Surfaces . The sharp edge in which any two of these surfaces meet is called a Line . The place at which any three of these lines meet is called a Point . If now the block be removed , we may think of the place occupied by ...
... called Plane Surfaces . The sharp edge in which any two of these surfaces meet is called a Line . The place at which any three of these lines meet is called a Point . If now the block be removed , we may think of the place occupied by ...
Σελίδα 4
... called Length , Breadth , and Thickness . 2. DEF . A Point has position without extension . 3. DEF . A Line has only one of the dimensions of exten- sion , namely , length . The lines which we draw are only imperfect representations of ...
... called Length , Breadth , and Thickness . 2. DEF . A Point has position without extension . 3. DEF . A Line has only one of the dimensions of exten- sion , namely , length . The lines which we draw are only imperfect representations of ...
Σελίδα 5
... called Magnitude . When reference is had to extent , lines , surfaces , and solids are called magnitudes . 8. DEF . A Straight line is a line which has the same direction throughout its whole extent . 9. DEF . A Curved line is a line ...
... called Magnitude . When reference is had to extent , lines , surfaces , and solids are called magnitudes . 8. DEF . A Straight line is a line which has the same direction throughout its whole extent . 9. DEF . A Curved line is a line ...
Σελίδα 6
... called rectilinear figures ; those formed by curved lines are called curvilinear fig- ures ; and those formed by straight and curved lines are called mixtilinear figures . 17. DEF . Figures which have the same form are called Similar ...
... called rectilinear figures ; those formed by curved lines are called curvilinear fig- ures ; and those formed by straight and curved lines are called mixtilinear figures . 17. DEF . Figures which have the same form are called Similar ...
Σελίδα 7
... called its origin . с B , be produced through C , the portions CB and CA may be regarded as different lines having opposite directions from the point C. A B , has two opposite Hence , every straight line , as A B , 4 directions , namely ...
... called its origin . с B , be produced through C , the portions CB and CA may be regarded as different lines having opposite directions from the point C. A B , has two opposite Hence , every straight line , as A B , 4 directions , namely ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume