Elementary Geometry, Τόμος 2 |
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... parallel straight lines , the segments made on the one are in the same ratio as the segments made on the other FOUR COROLLARIES THEOREM 5 . If a line bisect the vertical angle of a triangle and meet the base , it will divide the base ...
... parallel straight lines , the segments made on the one are in the same ratio as the segments made on the other FOUR COROLLARIES THEOREM 5 . If a line bisect the vertical angle of a triangle and meet the base , it will divide the base ...
Σελίδα 5
... if folded over the line AB , would coincide with the semicircle AQB , PN falling on NQ ; and therefore the arc AP = the arc AQ , and the arc PB the arc BQ . = COR . 2. Hence also parallel chords in a circle SYMMETRY OF THE CIRCLE . 5.
... if folded over the line AB , would coincide with the semicircle AQB , PN falling on NQ ; and therefore the arc AP = the arc AQ , and the arc PB the arc BQ . = COR . 2. Hence also parallel chords in a circle SYMMETRY OF THE CIRCLE . 5.
Σελίδα 6
James Maurice Wilson. COR . 2. Hence also parallel chords in a circle intercept equal arcs . = If PQ , RS are parallel chords , then will the arc PR the arc QS : For when one semicircle is folded on the other , P would coin- cide with Q ...
James Maurice Wilson. COR . 2. Hence also parallel chords in a circle intercept equal arcs . = If PQ , RS are parallel chords , then will the arc PR the arc QS : For when one semicircle is folded on the other , P would coin- cide with Q ...
Σελίδα 7
... parallel to it . 6. AB and CD are unequal parallel chords in a circle , prove that AC and BD , and likewise AD and BC inter- sect on the diameter perpendicular to AB and CD , or that diameter produced , and are equally inclined to that ...
... parallel to it . 6. AB and CD are unequal parallel chords in a circle , prove that AC and BD , and likewise AD and BC inter- sect on the diameter perpendicular to AB and CD , or that diameter produced , and are equally inclined to that ...
Σελίδα 15
... parallel . 2. If two opposite angles of a quadrilateral figure are together equal to two right angles , prove that a circle which passes through three of its angular points will also pass through the fourth . 3. If two opposite sides of ...
... parallel . 2. If two opposite angles of a quadrilateral figure are together equal to two right angles , prove that a circle which passes through three of its angular points will also pass through the fourth . 3. If two opposite sides of ...
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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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