Elementary Geometry, Τόμος 2 |
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Σελίδα v
... equally distant from the centre , and conversely ; and of two unequal chords the greater is nearer to the centre than the less , and conversely Exercises PAGE I 3 5 7 8 9 · ΤΟ SECTION II . ANGLES IN SEGMENTS OF THE CIRCLE .
... equally distant from the centre , and conversely ; and of two unequal chords the greater is nearer to the centre than the less , and conversely Exercises PAGE I 3 5 7 8 9 · ΤΟ SECTION II . ANGLES IN SEGMENTS OF THE CIRCLE .
Σελίδα 2
... , on , or inside the circumference according as its distance from the centre is greater than , equal .to , or less than the radius . SECTION I. PROPERTIES OF CENTRE . THEOREM I. ROTATORY PROPERTIES 2 ELEMENTARY GEOMETRY .
... , on , or inside the circumference according as its distance from the centre is greater than , equal .to , or less than the radius . SECTION I. PROPERTIES OF CENTRE . THEOREM I. ROTATORY PROPERTIES 2 ELEMENTARY GEOMETRY .
Σελίδα 7
... greater angle is subtended by the greater arc ; and also by the greater chord , if the sum of the two angles is less than four right angles . Prove this and its converse propositions . 3. Perpendiculars are let fall from the extremities ...
... greater angle is subtended by the greater arc ; and also by the greater chord , if the sum of the two angles is less than four right angles . Prove this and its converse propositions . 3. Perpendiculars are let fall from the extremities ...
Σελίδα 9
... greater is nearer to the centre than the less , and conversely . Let AB , CD be chords of a circle , OM , ON the perpendiculars on them from the centre , bisecting the chords in M and N respec- tively . Join OC , OA . Then since M and N ...
... greater is nearer to the centre than the less , and conversely . Let AB , CD be chords of a circle , OM , ON the perpendiculars on them from the centre , bisecting the chords in M and N respec- tively . Join OC , OA . Then since M and N ...
Σελίδα 12
... greater than two right angles , and that the ex- istence of such angles is contemplated in the foregoing theorem and corollary . Thus , if a line be conceived to revolve round O start- ing from an initial position OA , and revolving in ...
... greater than two right angles , and that the ex- istence of such angles is contemplated in the foregoing theorem and corollary . Thus , if a line be conceived to revolve round O start- ing from an initial position OA , and revolving in ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Algebra angle AOB angular points ARITHMETIC base bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre circles touch circumference circumscribed cloth common measure common tangents Construction Crown 8vo decagon Describe a circle diameter divided drawn EDUCATIONAL BOOKS ELEMENTARY TREATISE equal arcs equal chords equiangular equilateral triangle Examples Fcap find the locus follows GEOMETRY given circle given line given point given ratio given straight line Hence homologous hypothenuse incommensurable inscribed intersect John's College Join Let ABC LIST OF EDUCATIONAL magnitudes Mathematical mean proportional middle points numerical values parallel parallelograms pass perimeter perpendicular point of contact PROBLEM prove Ptolemy's Theorem quadrilateral figure radii radius rectangle contained regular polygon right angles Schools secant Second Edition segments shew shewn similar triangles SPQR student subtend equal angles tangent THEOREM triangle ABC vertical angle
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