Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
Inni boken
Resultat 1-5 av 22
Side 3
... greater than its part . ( b ) The whole is equal to the sum of its parts . ( c ) Things that are equal to the same thing are equal to one another . ( d ) If equals are added to equals the sums are equal . ( e ) If equals are taken from ...
... greater than its part . ( b ) The whole is equal to the sum of its parts . ( c ) Things that are equal to the same thing are equal to one another . ( d ) If equals are added to equals the sums are equal . ( e ) If equals are taken from ...
Side 4
... greater sum being that which is obtained from the greater magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the greater remainder being that which is obtained from the greater magnitude . 3. A Theorem is ...
... greater sum being that which is obtained from the greater magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the greater remainder being that which is obtained from the greater magnitude . 3. A Theorem is ...
Side 6
... greater than B , C is greater than D. If A is equal to B , C is equal to D. If A is less than B , C is less than D. Three such Theorems having been demonstrated geometrically , the converse of each is always and necessarily true . IO ...
... greater than B , C is greater than D. If A is equal to B , C is equal to D. If A is less than B , C is less than D. Three such Theorems having been demonstrated geometrically , the converse of each is always and necessarily true . IO ...
Side 8
... greater as the quantity of turning is greater . Since the line may turn from the one position to the other in either of two ways , two angles are formed by two straight lines drawn from a point . These angles ( which have a common ...
... greater as the quantity of turning is greater . Since the line may turn from the one position to the other in either of two ways , two angles are formed by two straight lines drawn from a point . These angles ( which have a common ...
Side 9
... greater than one right angle , but less than two right angles . DEF . 18. A reflex angle is a term sometimes used for a major- conjugate angle . DEF . 19. When the sum of two angles is a right angle , each is called the complement of ...
... greater than one right angle , but less than two right angles . DEF . 18. A reflex angle is a term sometimes used for a major- conjugate angle . DEF . 19. When the sum of two angles is a right angle , each is called the complement of ...
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