Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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Resultat 1-5 av 11
Side 1
... angle equal to a given angle ; of an angle equal to the sum of two given angles , & c . 5. The drawing of a line parallel to another under various conditions - and hence the division of lines into aliquot parts , in given ratio , & c ...
... angle equal to a given angle ; of an angle equal to the sum of two given angles , & c . 5. The drawing of a line parallel to another under various conditions - and hence the division of lines into aliquot parts , in given ratio , & c ...
Side 11
... given point in a given straight line only one perpendicular can be drawn to that line . COR . 2. The complements of equal angles are equal . COR . 3 . THEOR . 2 . The ... angle . PLANE GEOMETRY . II Angles at a Point II Triangles II.
... given point in a given straight line only one perpendicular can be drawn to that line . COR . 2. The complements of equal angles are equal . COR . 3 . THEOR . 2 . The ... angle . PLANE GEOMETRY . II Angles at a Point II Triangles II.
Side 14
... angle of that which has the greater base being greater than the angle of the other . [ By Rule of Conversion ... given point outside a given straight line , only one perpendicular can be drawn to that line . THEOR . 19. Of all the ...
... angle of that which has the greater base being greater than the angle of the other . [ By Rule of Conversion ... given point outside a given straight line , only one perpendicular can be drawn to that line . THEOR . 19. Of all the ...
Side 15
... angles or obtuse angles . ( 2 ) If the angles opposite to the other two equal sides are both acute , or both obtuse , or if one of them is a right angle . ( 3 ) If the side opposite the given angle in each triangle is not less than the ...
... angles or obtuse angles . ( 2 ) If the angles opposite to the other two equal sides are both acute , or both obtuse , or if one of them is a right angle . ( 3 ) If the side opposite the given angle in each triangle is not less than the ...
Side 18
... given angle . PROB . 2. To draw a perpendicular to a given straight line from a given point in it . PROB . 3. To draw a perpendicular to a given straight line from a given point outside it . PROB . 4. To bisect a given straight line ...
... given angle . PROB . 2. To draw a perpendicular to a given straight line from a given point in it . PROB . 3. To draw a perpendicular to a given straight line from a given point outside it . PROB . 4. To bisect a given straight line ...
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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