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 5
... distance equal to E F , and down a distance equal to FH . These three dimensions we designate for convenience length , breadth , and thickness . 6. The limits ( extremities ) of lines are points . The limits ( boundaries ) of surfaces ...
... distance equal to E F , and down a distance equal to FH . These three dimensions we designate for convenience length , breadth , and thickness . 6. The limits ( extremities ) of lines are points . The limits ( boundaries ) of surfaces ...
Σελίδα 6
... same form are called Similar Figures . Figures which have the same extent are called Equivalent Figures . Figures which have the same form and extent are called Equal Figures . ON STRAIGHT LINES . 18. If the direction of a straight line ...
... same form are called Similar Figures . Figures which have the same extent are called Equivalent Figures . Figures which have the same form and extent are called Equal Figures . ON STRAIGHT LINES . 18. If the direction of a straight line ...
Σελίδα 13
... equal to the same thing are equal to each other . 2. When equals are added to equals the sums are equal . 3. When ... distance , or can be terminated at any point . 3. That the circumference of a circle can be described about any centre , at ...
... equal to the same thing are equal to each other . 2. When equals are added to equals the sums are equal . 3. When ... distance , or can be terminated at any point . 3. That the circumference of a circle can be described about any centre , at ...
Σελίδα 19
... distance between two points ) , and BE + OE > BO . $ 18 Add these inequalities , and we have CA + CE BE + OE > OA + OE + O B. Substitute for CE + BE its equal C B , and take away OE from each side of the inequality . We have CA + CBOA + ...
... distance between two points ) , and BE + OE > BO . $ 18 Add these inequalities , and we have CA + CE BE + OE > OA + OE + O B. Substitute for CE + BE its equal C B , and take away OE from each side of the inequality . We have CA + CBOA + ...
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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