Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 σελίδες Elementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
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Αποτελέσματα 1 - 5 από τα 39.
... . Thus ABCD is a quadrangle . 2. The line - segments AC and BD which join opposite vertices are the diagonals of the quadrangle . 3. The quadrangle formed when two parallel lines intersect two 44 SYNTHETIC GEOMETRY .
... ABCD is a quadrangle , and the Ls at B and D are right angles : . ' . or But and the ... LBAD + 2BCD = 1 , LBCD is supplementary to BAD . LBCD is supplementary to LECD ; B E ( hyp . ) ( 90 ° ) ( 39 ° ) ( BC . CD ) is either the angle ...
... ABCD and OE and OF are the per- pendiculars from the centre upon these chords , then OE = OF ; and conversely , if OE OF , then AB = CD . Proof . - Since OE and OF are centre lines AB and CD are bisected in E and F. .. in the As OBE and ...
... ABCD be a quadrangle . Then the condition is not violated if D moves to D1 or D2 . But in the latter case the normal quad- 1 rangle ABCD becomes the inverted quadrangle ABCD2 , and the theorem remains true . Or , the theorem is continu ...
... ABCD is a quadrangle whereof the LADC is supplementary to LABC ; then a circle can pass through A , B , C , and D. Proof . - If possible let the through A , B , and C cut AD in some point P. Join P and C. A B D P Then LAPC is ...
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