Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα vii
... SIMILAR POLYGONS . THEORY OF PROPORTION . · PROPORTIONAL LINES SIMILAR POLYGONS . CONSTRUCTIONS 128 139 143 164 BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES.
... SIMILAR POLYGONS . THEORY OF PROPORTION . · PROPORTIONAL LINES SIMILAR POLYGONS . CONSTRUCTIONS 128 139 143 164 BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES.
Σελίδα 6
... Similar Figures . Figures which have the same extent are called Equivalent Figures . Figures which have the same form and extent are called Equal Figures . • Opiem . ON STRAIGHT LINES . 18. If the direction of a straight line and a ...
... Similar Figures . Figures which have the same extent are called Equivalent Figures . Figures which have the same form and extent are called Equal Figures . • Opiem . ON STRAIGHT LINES . 18. If the direction of a straight line and a ...
Σελίδα 90
... similar . Q. E. D. NOTE . In the application of the principles of limits , refer- ence to this section ( § 199 ) will always include the fundamental truth of limits contained in Proposition I .; and it will be left as an exercise for ...
... similar . Q. E. D. NOTE . In the application of the principles of limits , refer- ence to this section ( § 199 ) will always include the fundamental truth of limits contained in Proposition I .; and it will be left as an exercise for ...
Σελίδα 127
... . If a ladder , whose foot rests on a horizontal plane and top against a vertical wall , slip down ; find the locus of its middle point . 2 11 % BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . ON CONSTRUCTIONS . 127.
... . If a ladder , whose foot rests on a horizontal plane and top against a vertical wall , slip down ; find the locus of its middle point . 2 11 % BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . ON CONSTRUCTIONS . 127.
Σελίδα 128
George Albert Wentworth. BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . ON THE THEORY OF PROPORTION . 245. DEF . The Terms of a ratio are the quantities com- pared . 246. DEF . The Antecedent ... SIMILAR POLYGONS THEORY OF PROPORTION ·
George Albert Wentworth. BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . ON THE THEORY OF PROPORTION . 245. DEF . The Terms of a ratio are the quantities com- pared . 246. DEF . The Antecedent ... SIMILAR POLYGONS THEORY OF PROPORTION ·
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude apothem arc A B BC² bisect centre chord A B circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse Iden isosceles triangle Let A B 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