Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Resultat 1-5 av 8
Side 1
... hence the division of lines into aliquot parts , in given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( y ) two angles and side adjacent ; ( 8 ) two angles and ...
... hence the division of lines into aliquot parts , in given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( y ) two angles and side adjacent ; ( 8 ) two angles and ...
Side 5
... Hence the four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are in- dependent of one another , and two others that are always and necessarily true if the former are true ; consequently it ...
... Hence the four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are in- dependent of one another , and two others that are always and necessarily true if the former are true ; consequently it ...
Side 9
... Hence a straight angle is equal to two right angles ; or , a right angle is half a straight angle . DEF . 15. A perpendicular to a straight line is a straight line that makes a right angle with it . DEF . 16. An acute angle is that ...
... Hence a straight angle is equal to two right angles ; or , a right angle is half a straight angle . DEF . 15. A perpendicular to a straight line is a straight line that makes a right angle with it . DEF . 16. An acute angle is that ...
Side 29
... Hence the circumference of a circle is everywhere concave towards the centre . THEOR . 10. There is one circle and only one whose circumference passes through three given points not in the same straight line . [ By Loci § 3 , i . ] COR ...
... Hence the circumference of a circle is everywhere concave towards the centre . THEOR . 10. There is one circle and only one whose circumference passes through three given points not in the same straight line . [ By Loci § 3 , i . ] COR ...
Side 42
... Hence if mA be between nC and ( n + 1 ) C , or if mA = nC , mB will be less than C , whence ( Def . 6 ) A : C > B : C ; Also , since C > mB while nC is not > mA ( Def . 6 ) C : B > C : A or C : A < C : B. If A < B , then B > A and ...
... Hence if mA be between nC and ( n + 1 ) C , or if mA = nC , mB will be less than C , whence ( Def . 6 ) A : C > B : C ; Also , since C > mB while nC is not > mA ( Def . 6 ) C : B > C : A or C : A < C : B. If A < B , then B > A and ...
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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