Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα iii
... con- stantly in view . All unnecessary discussions and scholia have been avoided ; and such methods have been adopted as experi- ence and attentive observation , combined with repeated trials , have shown to be most readily comprehended ...
... con- stantly in view . All unnecessary discussions and scholia have been avoided ; and such methods have been adopted as experi- ence and attentive observation , combined with repeated trials , have shown to be most readily comprehended ...
Σελίδα 5
... con- nected straight lines . When the word line is used a straight line is meant ; and when the word curve is used a curved line is meant . 11. DEF . A Plane Surface , or a Plane , is a surface in which , if any two points be taken ...
... con- nected straight lines . When the word line is used a straight line is meant ; and when the word curve is used a curved line is meant . 11. DEF . A Plane Surface , or a Plane , is a surface in which , if any two points be taken ...
Σελίδα 14
... . Iden . identical . Cons . construction . Sup . supplementary . Sup . adj . supplementary - adja- cent . Ex . exercise . Ill . illustration . 14 GEOMETRY . - BOOK I. SYMBOLS AND ABBREVIATIONS PERPENDICULAR AND OBLIQUE LINES.
... . Iden . identical . Cons . construction . Sup . supplementary . Sup . adj . supplementary - adja- cent . Ex . exercise . Ill . illustration . 14 GEOMETRY . - BOOK I. SYMBOLS AND ABBREVIATIONS PERPENDICULAR AND OBLIQUE LINES.
Σελίδα 17
... cons . ) . line FE , .. line CF ( having their extremities in the same points ) . ..CFFE = = 2 C F , CO + OE 2 CO . CO + OE < CF + FE , ( a straight line is the shortest distance between two points ) . Substitute and 2 CO for CO + OE ...
... cons . ) . line FE , .. line CF ( having their extremities in the same points ) . ..CFFE = = 2 C F , CO + OE 2 CO . CO + OE < CF + FE , ( a straight line is the shortest distance between two points ) . Substitute and 2 CO for CO + OE ...
Σελίδα 23
... con- taining all the points which possess a common property . Thus , the perpendicular erected at the middle of a straight line is the locus of all points equally distant from the extremi- ties of that straight line . 60. SCHOLIUM ...
... con- taining all the points which possess a common property . Thus , the perpendicular erected at the middle of a straight line is the locus of all points equally distant from the extremi- ties of that straight line . 60. SCHOLIUM ...
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