Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Side 26
... arcs respectively . Such arcs are said to be conjugate to one another . DEF . 3. A segment of a circle is the figure contained by a chord and either of the arcs into which the chord divides the circumference . The segments are called ...
... arcs respectively . Such arcs are said to be conjugate to one another . DEF . 3. A segment of a circle is the figure contained by a chord and either of the arcs into which the chord divides the circumference . The segments are called ...
Side 27
... arcs , and of two unequal angles at the centre the greater angle stands on the greater arc . [ By Superposition . ] COR . I. Sectors of the same , or of equal circles , which have equal angles are equal , and of two such sectors which ...
... arcs , and of two unequal angles at the centre the greater angle stands on the greater arc . [ By Superposition . ] COR . I. Sectors of the same , or of equal circles , which have equal angles are equal , and of two such sectors which ...
Side 28
... arcs are subtended by equal chords ; and of two unequal minor arcs the greater is subtended by the greater chord . [ By Theor . 3 , and Book I , Theors . 5 and 14. ] COR . In the same circle , or in equal circles , of two unequal major arcs ...
... arcs are subtended by equal chords ; and of two unequal minor arcs the greater is subtended by the greater chord . [ By Theor . 3 , and Book I , Theors . 5 and 14. ] COR . In the same circle , or in equal circles , of two unequal major arcs ...
Side 35
... arc . PROB . 2. To bisect a given arc . PROB . 3 . To draw a tangent to a given circle from a point on or outside the circumference . PROB . 4. To draw a common tangent to two given circles . Discussion on the number of common tangents ...
... arc . PROB . 2. To bisect a given arc . PROB . 3 . To draw a tangent to a given circle from a point on or outside the circumference . PROB . 4. To draw a common tangent to two given circles . Discussion on the number of common tangents ...
Side 36
... 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 lines are drawn bisecting two ...
... 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 lines are drawn bisecting two ...
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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