Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
Inni boken
Resultat 1-5 av 6
Side 13
... difference of any two sides of a triangle is less than the third side . THEOR . 13. If from the ends of the side of a triangle two straight lines are drawn to a point within the triangle , these are together less than the two other ...
... difference of any two sides of a triangle is less than the third side . THEOR . 13. If from the ends of the side of a triangle two straight lines are drawn to a point within the triangle , these are together less than the two other ...
Side 21
... difference of identically equal magnitudes are equal , although they may not be identically equal . THEOR . 1. Parallelograms on the same base and between the same parallels are equal . * COR . 1. The area of a parallelogram is equal to ...
... difference of identically equal magnitudes are equal , although they may not be identically equal . THEOR . 1. Parallelograms on the same base and between the same parallels are equal . * COR . 1. The area of a parallelogram is equal to ...
Side 23
... difference of its segments according as it is divided internally or externally . THEOR . 5. The rectangle contained ... difference of two lines is less than the sum of the squares on those lines by twice the rectangle contained by them ...
... difference of its segments according as it is divided internally or externally . THEOR . 5. The rectangle contained ... difference of two lines is less than the sum of the squares on those lines by twice the rectangle contained by them ...
Side 34
... difference of their radii , their circumferences will meet in two points . DEF . 15. In this case the circles are said to cut one another . OBS . ( 4 ) . If the distance between the centres of two circles is equal to the difference of ...
... difference of their radii , their circumferences will meet in two points . DEF . 15. In this case the circles are said to cut one another . OBS . ( 4 ) . If the distance between the centres of two circles is equal to the difference of ...
Side 36
... difference of the squares on the radius and on the line joining the given point with the centre of the circle . COR . I. The rectangle contained by the segments of any chord passing through a given point is the same , whatever be the ...
... difference of the squares on the radius and on the line joining the given point with the centre of the circle . COR . I. The rectangle contained by the segments of any chord passing through a given point is the same , whatever be the ...
Andre utgaver - Vis alle
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