Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 σελίδες |
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Σελίδα 1
... given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( y ) two angles and side adjacent ; ( 8 ) two angles and side opposite . 2 7 . GEOMETRICAL CONSTRUCTIONS ...
... given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( y ) two angles and side adjacent ; ( 8 ) two angles and side opposite . 2 7 . GEOMETRICAL CONSTRUCTIONS ...
Σελίδα 38
... Ratio and Proportion given in books on Arithmetic and Algebra . ] [ Notation . In what follows , large Roman letters , A. B , etc. , are used to denote mag- nitudes , and where the pairs of magnitudes compared are both of the same kind ...
... Ratio and Proportion given in books on Arithmetic and Algebra . ] [ Notation . In what follows , large Roman letters , A. B , etc. , are used to denote mag- nitudes , and where the pairs of magnitudes compared are both of the same kind ...
Σελίδα 39
... ratio of one magnitude to another of the same kind is the relation of the former to the latter in respect of ... given magnitudes A and B , and is different from that for A and C , if C differ from B by any magnitude however small . See Th .
... ratio of one magnitude to another of the same kind is the relation of the former to the latter in respect of ... given magnitudes A and B , and is different from that for A and C , if C differ from B by any magnitude however small . See Th .
Σελίδα 48
... given ratio , and also externally into segments having any given ratio except the ratio of equality : and in each case there is only one such point of division . [ Let AB be the given straight line and , since any given ratio may be ...
... given ratio , and also externally into segments having any given ratio except the ratio of equality : and in each case there is only one such point of division . [ Let AB be the given straight line and , since any given ratio may be ...
Σελίδα 58
... ratio is a pair of straight lines , passing through the point of intersection of the given lines , if they intersect ... ratio ( not one of equality ) is a circle . PROB . I. To divide a straight line similarly to a given divided ...
... ratio is a pair of straight lines , passing through the point of intersection of the given lines , if they intersect ... ratio ( not one of equality ) is a circle . PROB . I. To divide a straight line similarly to a given divided ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles adjoining sides angles are equal angles equal angles opposite antecedent bisects Book called centre chord circle a regular circumference circumscribe conjugate angles consequent construct a triangle contrapositive diagonal distance divided internally equal altitude equal angles equal circles equimultiples exterior angle given angle given point given ratio given rectilineal figure given straight line greater angle hypotenuse identically equal inscribe interior angles intersect less lines are proportional Loci locus middle point minor arcs multiple obtuse angle opposite angles parallel straight lines parallelogram perpendicular PLANE GEOMETRY point of contact point of division polygon PROB quadrilateral radii radius ratio compounded ratios are equal rectangle contained right angles Rule of Conversion Rule of Identity SECTION segments side opposite Similar rectilineal figures square straight angle straight line drawn straight line joining subtended Superposition SYLLABUS OF PLANE THEOR Theorem triangles are identically unequal vertex whence whole numbers