Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα v
... Limits . The changes are not sufficient to prevent the simulta- neous use of the old and new editions in the class ; still they are very important , and have been made after the most careful and prolonged consideration . I have to ...
... Limits . The changes are not sufficient to prevent the simulta- neous use of the old and new editions in the class ; still they are very important , and have been made after the most careful and prolonged consideration . I have to ...
Σελίδα vi
... limit ; if , however , a decrease and approach zero as a limit , the area of the rectangle decreases and approaches zero for a limit . An arith- metical illustration of this truth would be given by multiplying a constant into the ...
... limit ; if , however , a decrease and approach zero as a limit , the area of the rectangle decreases and approaches zero for a limit . An arith- metical illustration of this truth would be given by multiplying a constant into the ...
Σελίδα vii
... LIMITS SUPPLEMENTARY PROPOSITIONS CONSTRUCTIONS . PAGE 3 4 6 7 9 10 11 12 13 14 24 37 58 68 73 75 86 . 87 100 . 103 BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . THEORY OF PROPORTION . PROPORTIONAL LINES SIMILAR POLYGONS ...
... LIMITS SUPPLEMENTARY PROPOSITIONS CONSTRUCTIONS . PAGE 3 4 6 7 9 10 11 12 13 14 24 37 58 68 73 75 86 . 87 100 . 103 BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . THEORY OF PROPORTION . PROPORTIONAL LINES SIMILAR POLYGONS ...
Σελίδα 3
... limits ; and of these lines as having points for their extremities or limits . A Solid , as the term is used in Geometry , is a limited por- tion of space . After we acquire a clear notion of surfaces as boundaries of solids , we can ...
... limits ; and of these lines as having points for their extremities or limits . A Solid , as the term is used in Geometry , is a limited por- tion of space . After we acquire a clear notion of surfaces as boundaries of solids , we can ...
Σελίδα 5
... limits ( extremities ) of lines are points . The limits ( boundaries ) of surfaces are lines . The limits ( boundaries ) of solids are surfaces . 7. DEF . Extension is also called Magnitude . When reference is had to extent , lines ...
... limits ( extremities ) of lines are points . The limits ( boundaries ) of surfaces are lines . The limits ( boundaries ) of solids are surfaces . 7. DEF . Extension is also called Magnitude . When reference is had to extent , lines ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices