The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 σελίδες |
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Αποτελέσματα 6 - 10 από τα 24.
Σελίδα 30
... meet ( Ax . 12. ) together if continually produced ; therefore 3. The straight lines AB , CD , shall meet , if produced far enough ; but they never meet , since they are parallel by the hypothesis ; therefore 4. The angle AGH is not ...
... meet ( Ax . 12. ) together if continually produced ; therefore 3. The straight lines AB , CD , shall meet , if produced far enough ; but they never meet , since they are parallel by the hypothesis ; therefore 4. The angle AGH is not ...
Σελίδα 31
... meets the two straight lines BC , EF , makes the alternate angles EAD , ADC , equal to one another , ( I. 27. ) EF is parallel to BC . Therefore the straight line EAF is drawn through the given point A › parallel to the given straight ...
... meets the two straight lines BC , EF , makes the alternate angles EAD , ADC , equal to one another , ( I. 27. ) EF is parallel to BC . Therefore the straight line EAF is drawn through the given point A › parallel to the given straight ...
Σελίδα 33
... meets them , ( I. 29. ) 1. The alternate angles ABC , BCD , are equal . and because AB is equal to CD , and BC common to the two triangles ABC , DCB , the two sides AB , BC , are equal to the two DC , CB ; and the angle ABC is equal to ...
... meets them , ( I. 29. ) 1. The alternate angles ABC , BCD , are equal . and because AB is equal to CD , and BC common to the two triangles ABC , DCB , the two sides AB , BC , are equal to the two DC , CB ; and the angle ABC is equal to ...
Σελίδα 34
... meets them , ( I. 29. ) 1. The alternate angles ABC , BCD , are equal to one another ; and because AC is parallel to BD , and BC meets them , ( I. 29. ) 2. The alternate angles ACB , CBD , are equal to one another ; wherefore the two ...
... meets them , ( I. 29. ) 1. The alternate angles ABC , BCD , are equal to one another ; and because AC is parallel to BD , and BC meets them , ( I. 29. ) 2. The alternate angles ACB , CBD , are equal to one another ; wherefore the two ...
Σελίδα 41
... meet , if produced ; let them meet in K , and through K draw KL parallel to EA or FH , and produce HA , GB , to the points L , M. Then HLKF is a parallelogram , of which the diameter is HK , and AG , ME , are the parallelograms about HK ...
... meet , if produced ; let them meet in K , and through K draw KL parallel to EA or FH , and produce HA , GB , to the points L , M. Then HLKF is a parallelogram , of which the diameter is HK , and AG , ME , are the parallelograms about HK ...
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AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle