Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Side 23
... divided internally or externally . THEOR . 5. The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . COR . 1. If a straight line ...
... divided internally or externally . THEOR . 5. The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . COR . 1. If a straight line ...
Side 24
... divided internally or externally at any point , the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line . SECTION 2 ...
... divided internally or externally at any point , the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line . SECTION 2 ...
Side 36
... divided into any number of equal arcs , the inscribed polygon formed by the chords of these arcs is regular ; and the circumscribed polygon formed by tangents drawn at all the points of division is also regular . THEOR . 26. If straight ...
... divided into any number of equal arcs , the inscribed polygon formed by the chords of these arcs is regular ; and the circumscribed polygon formed by tangents drawn at all the points of division is also regular . THEOR . 26. If straight ...
Side 48
... divided internally into segments having any 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 ...
... divided internally into segments having any 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 ...
Side 55
... divided into the same number of similar triangles . DEF . 3. The point determined as in Theor . 6 is called a centre ... divided internally or externally in the ratio of the sides of the triangle . And , conversely , if the base is ...
... divided into the same number of similar triangles . DEF . 3. The point determined as in Theor . 6 is called a centre ... divided internally or externally in the ratio of the sides of the triangle . And , conversely , if the base is ...
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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