Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Side 11
... described from any centre , with a radius equal to any finite straight line . SECTION 1 . ANGLES AT A POINT . THEOR . I. All right angles are equal to one another . COR . 1. At a given point in a given straight line only one ...
... described from any centre , with a radius equal to any finite straight line . SECTION 1 . ANGLES AT A POINT . THEOR . I. All right angles are equal to one another . COR . 1. At a given point in a given straight line only one ...
Side 54
... described upon given straight lines , when those straight lines are homologous sides of the figures . THEOR . 1. Rectilineal figures that are similar to the same rectilineal figure are similar to one another . THEOR . 2. If two ...
... described upon given straight lines , when those straight lines are homologous sides of the figures . THEOR . 1. Rectilineal figures that are similar to the same rectilineal figure are similar to one another . THEOR . 2. If two ...
Side 57
... described on their homologous sides . COR . 2. If four straight lines are proportional and a pair of similar rectilineal figures are similarly described on the first and second , and also a pair on the third and fourth , these figures ...
... described on their homologous sides . COR . 2. If four straight lines are proportional and a pair of similar rectilineal figures are similarly described on the first and second , and also a pair on the third and fourth , these figures ...
Side 58
... described on the hypotenuse is equal to the sum of two similar and similarly described figures on the sides . SECTION 3 . LOCI AND PROBLEMS . i . The locus of a point whose distances from two fixed straight lines are in a constant ratio ...
... described on the hypotenuse is equal to the sum of two similar and similarly described figures on the sides . SECTION 3 . LOCI AND PROBLEMS . i . The locus of a point whose distances from two fixed straight lines are in a constant ratio ...
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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