The Thirteen Books of Euclid's Elements ; The Works of Archimedes, Including the Method ; Introduction to Arithmetic |
From inside the book
Results 1-3 of 49
Page 453
... axis will be the diameter [ axis ] which has remained fixed . The figure compre- hended by the section of the obtuse - angled cone is called an obtuse - angled conoid [ hyperboloid of revolution ] , its axis is the diameter which has ...
... axis will be the diameter [ axis ] which has remained fixed . The figure compre- hended by the section of the obtuse - angled cone is called an obtuse - angled conoid [ hyperboloid of revolution ] , its axis is the diameter which has ...
Page 466
... axis is RR ' . Suppose the cutting plane to be at right angles to the plane of the paper , and suppose the latter plane to be that through the axis ANF which intersects the A R ' Κ T A R ' N E F M B F M R ....... K B R cutting plane at ...
... axis is RR ' . Suppose the cutting plane to be at right angles to the plane of the paper , and suppose the latter plane to be that through the axis ANF which intersects the A R ' Κ T A R ' N E F M B F M R ....... K B R cutting plane at ...
Page 469
... axis of the conoid or spheroid , A will be the vertex of the conoid or spheroid , and its axis AD will bisect BC at right angles . ( 2 ) If the base of the segment is not at right angles to the axis of the conoid or spheroid , we draw ...
... axis of the conoid or spheroid , A will be the vertex of the conoid or spheroid , and its axis AD will bisect BC at right angles . ( 2 ) If the base of the segment is not at right angles to the axis of the conoid or spheroid , we draw ...
Common terms and phrases
added apotome applied axis base called centre of gravity circle circle ABCD circumference circumscribed commensurable in length commensurable in square common cone constructed continued cube cylinder described diameter difference divided double draw drawn equal extremes fall figure fluid follows four fourth given greater half height Hence incommensurable inscribed joined least less magnitudes mean measure medial meet multiplying namely parallel parallelogram perpendicular placed plane polygon portion possible prime prism produced Prop proportional PROPOSITION proved pyramid ratio rational straight line reason rectangle remaining respectively right angles segment side similar Similarly solid sphere square number squares on AC straight lines commensurable surface taken third touch triangle twice the rectangle unit vertex whole