Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Resultat 1-5 av 16
Side 5
... four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are in- dependent of one another , and two others that are always and necessarily true if the former are true ; consequently it will never be ...
... four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are in- dependent of one another , and two others that are always and necessarily true if the former are true ; consequently it will never be ...
Side 10
... four sides , a pentagon one of five sides , a hexagon one of six sides , and so on . I. 2 . 3 . 4 . GEOMETRICAL AXIOMS . Magnitudes that can be made to coincide are equal . Two straight lines that have two points in common lie wholly in ...
... four sides , a pentagon one of five sides , a hexagon one of six sides , and so on . I. 2 . 3 . 4 . GEOMETRICAL AXIOMS . Magnitudes that can be made to coincide are equal . Two straight lines that have two points in common lie wholly in ...
Side 16
... four pairs of corresponding angles are equal , and the two pairs of interior angles on the same side are supplementary . THEOR . 24. Straight lines that are parallel to the same straight line are parallel to one another ...
... four pairs of corresponding angles are equal , and the two pairs of interior angles on the same side are supplementary . THEOR . 24. Straight lines that are parallel to the same straight line are parallel to one another ...
Side 17
... four right angles are equal to twice as many right angles as the figure has sides . COR . All the exterior angles of any convex polygon are together equal to four right angles . THEOR . 27. The adjoining angles of a parallelogram are ...
... four right angles are equal to twice as many right angles as the figure has sides . COR . All the exterior angles of any convex polygon are together equal to four right angles . THEOR . 27. The adjoining angles of a parallelogram are ...
Side 20
... four and only four points in a plane each of which is equidistant from three given straight lines that intersect one another but not in the same point . BOOK II * . EQUALITY OF Areas . SECTION 1.
... four and only four points in a plane each of which is equidistant from three given straight lines that intersect one another but not in the same point . BOOK II * . EQUALITY OF Areas . SECTION 1.
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ... Association for the improvement of geometrical teaching Uten tilgangsbegrensning - 1876 |
Vanlige uttrykk og setninger
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