A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
Dentro del libro
Página 62
... parallel to BD , and BC meets them , the alternate angles ACB , CBD are ... CD , and the side AC equal to the side BD , and the angle BAC equal to the ... CD , and BC common , the two sides AB , BC are equal to the two sides DC , CB ...
... parallel to BD , and BC meets them , the alternate angles ACB , CBD are ... CD , and the side AC equal to the side BD , and the angle BAC equal to the ... CD , and BC common , the two sides AB , BC are equal to the two sides DC , CB ...
Página 84
... parallel to AD or BE . [ I. 31. ] 3 . Then AE is equal to the rectangles AF , CE . But AE is the square on AB . And ... CD or BE . [ 1.31 . ] Then the rectangle 3. AE is equal to the rectangles AD , CE . But AE is the rectangle con- E ...
... parallel to AD or BE . [ I. 31. ] 3 . Then AE is equal to the rectangles AF , CE . But AE is the square on AB . And ... CD or BE . [ 1.31 . ] Then the rectangle 3. AE is equal to the rectangles AD , CE . But AE is the rectangle con- E ...
Página 85
... CD is equal to CB ; and CE is the square on BC . Therefore the rectangle AB , BC is equal to the rectangle AC , CB ... parallel to AD or BE , and through G draw HK parallel to AB or DE . [ I. 31. ] Then , because CF is par- 3 . allel to ...
... CD is equal to CB ; and CE is the square on BC . Therefore the rectangle AB , BC is equal to the rectangle AC , CB ... parallel to AD or BE , and through G draw HK parallel to AB or DE . [ I. 31. ] Then , because CF is par- 3 . allel to ...
Página 87
... CD , shall be equal to the square on CB . On CB describe A 2. the square CEFB ; join BE through D draw DHG parallel to CE or BF ; H M through H draw KLM parallel to CB or EF ; and through A draw AK parallel to CL or BM . [ I. 31. ] 3 ...
... CD , shall be equal to the square on CB . On CB describe A 2. the square CEFB ; join BE through D draw DHG parallel to CE or BF ; H M through H draw KLM parallel to CB or EF ; and through A draw AK parallel to CL or BM . [ I. 31. ] 3 ...
Página 89
... CD describe 2 . the square CEFD ; join DE ; through B draw BHG parallel to CE or DF ; K through H draw KLM B HI M parallel to AD or EF ; and through A draw , AK parallel to CL or DM . [ I. 31. ] 3 . · E G F Then because AC is equal to ...
... CD describe 2 . the square CEFD ; join DE ; through B draw BHG parallel to CE or DF ; K through H draw KLM B HI M parallel to AD or EF ; and through A draw , AK parallel to CL or DM . [ I. 31. ] 3 . · E G F Then because AC is equal to ...
Otras ediciones - Ver todas
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal