Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Side 9
... passing from one extreme through the mean to the other extreme , is the sum of the two adjacent angles . DEF . 13. The bisector of an angle is the straight line that divides it into two equal angles . DEF . 14. When one straight line ...
... passing from one extreme through the mean to the other extreme , is the sum of the two adjacent angles . DEF . 13. The bisector of an angle is the straight line that divides it into two equal angles . DEF . 14. When one straight line ...
Side 18
... passes through the middle point of the other side . COR . 2. The straight line joining the middle points of two sides of a triangle is parallel to the base . [ Cor . 1 . and Rule of Identity . ] SECTION 4 . PROBLEMS . PROB . I. To ...
... passes through the middle point of the other side . COR . 2. The straight line joining the middle points of two sides of a triangle is parallel to the base . [ Cor . 1 . and Rule of Identity . ] SECTION 4 . PROBLEMS . PROB . I. To ...
Side 29
... passes through the centre . [ Any one of Theors . 6 , 7 , 8 , being proved directly , the other two follow by the Rule of Identity . ] COR . The locus of the centres of all circles that pass through two given points is the straight line ...
... passes through the centre . [ Any one of Theors . 6 , 7 , 8 , being proved directly , the other two follow by the Rule of Identity . ] COR . The locus of the centres of all circles that pass through two given points is the straight line ...
Side 32
... passes through the point of contact . OBS . On the relative position of a straight line and a circle . A straight line will cut a circle , touch it , or not meet it at all according as its distance from the centre is less than , equal ...
... passes through the point of contact . OBS . On the relative position of a straight line and a circle . A straight line will cut a circle , touch it , or not meet it at all according as its distance from the centre is less than , equal ...
Side 34
... passes through their point of contact . [ Con- trapositive of Theor . 23. ] COR . Two circles that touch one another have a common tangent at the point of contact . [ By Theor . 18. ] OBS . ( 1 ) . If the distance between the centres of ...
... passes through their point of contact . [ Con- trapositive of Theor . 23. ] COR . Two circles that touch one another have a common tangent at the point of contact . [ By Theor . 18. ] OBS . ( 1 ) . If the distance between the centres of ...
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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