Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Side 21
... altitude are equal to those of the parallelogram . COR . 2. Parallelograms on equal bases and of equal altitude are equal ; and of parallelograms of equal altitudes , that is the greater which has the greater base ; and also of ...
... altitude are equal to those of the parallelogram . COR . 2. Parallelograms on equal bases and of equal altitude are equal ; and of parallelograms of equal altitudes , that is the greater which has the greater base ; and also of ...
Side 22
... altitude are equal to those of the triangle . COR . 1. Triangles on the same or equal bases and of equal altitude are equal . COR . 2. Equal triangles on the same or equal bases have equal altitudes . COR . 3. If two equal triangles ...
... altitude are equal to those of the triangle . COR . 1. Triangles on the same or equal bases and of equal altitude are equal . COR . 2. Equal triangles on the same or equal bases have equal altitudes . COR . 3. If two equal triangles ...
Side 48
... of the triangle . [ From Theor . 1 by the Rule of Identity , since by Theor . 2 there is only one point of division of a given line in a given ratio . ] THEOR . 4. Rectangles of equal altitude are to one 48 A SYLLABUS OF.
... of the triangle . [ From Theor . 1 by the Rule of Identity , since by Theor . 2 there is only one point of division of a given line in a given ratio . ] THEOR . 4. Rectangles of equal altitude are to one 48 A SYLLABUS OF.
Side 49
... altitude are to one another in the same ratio as their bases . [ Let AC , BC be two rectangles having the common side OC and their bases OA , OB on the same side of OC . In the line OAB indefinitely produced , take OM = m . OA and ON ...
... altitude are to one another in the same ratio as their bases . [ Let AC , BC be two rectangles having the common side OC and their bases OA , OB on the same side of OC . In the line OAB indefinitely produced , take OM = m . OA and ON ...
Side 57
... altitudes . THEOR . 15. Similar triangles are to one another in the duplicate ratio of their homologous sides . THEOR . 16. The areas of similar rectilineal figures are to one another in the duplicate ratio of their homologous sides ...
... altitudes . THEOR . 15. Similar triangles are to one another in the duplicate ratio of their homologous sides . THEOR . 16. The areas of similar rectilineal figures are to one another in the duplicate ratio of their homologous sides ...
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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