Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 4
... points A and H involves three , and only three , independent elements . To pass from A to H it is necessary to move East ( if we suppose the direction A E to be due East ) a distance equal to A E 4 GEOMETRY . - BOOK I. DEFINITIONS.
... points A and H involves three , and only three , independent elements . To pass from A to H it is necessary to move East ( if we suppose the direction A E to be due East ) a distance equal to A E 4 GEOMETRY . - BOOK I. DEFINITIONS.
Σελίδα 6
... pass through the same point in the same direction coincide . Between two points one , and but one , straight line can be drawn ; that is , a straight line is determined in position if two of its points be known . Of all lines between ...
... pass through the same point in the same direction coincide . Between two points one , and but one , straight line can be drawn ; that is , a straight line is determined in position if two of its points be known . Of all lines between ...
Σελίδα 7
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
Σελίδα 73
... pass- ing through the centre and having its extremities in the circum- ference , as A B , Fig . 2 . By the definition of a circle , all its radii are equal . Hence , all its diameters are equal , since the diameter is equal to twice the ...
... pass- ing through the centre and having its extremities in the circum- ference , as A B , Fig . 2 . By the definition of a circle , all its radii are equal . Hence , all its diameters are equal , since the diameter is equal to twice the ...
Σελίδα 74
... circle , as in Fig . 4 . A circle is circumscribed about a polygon when the circumfer- ence passes through all the vertices of the polygon , as in Fig . 1 . 175. DEF . Equal circles are circles which have equal 74 BOOK II . GEOMETRY .
... circle , as in Fig . 4 . A circle is circumscribed about a polygon when the circumfer- ence passes through all the vertices of the polygon , as in Fig . 1 . 175. DEF . Equal circles are circles which have equal 74 BOOK II . GEOMETRY .
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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