A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 82
... gnomon , Thus the parallelogram A E HG , together with the complements AF , FC , is the gnomon , which is more briefly expressed by the letters AGK , or EHC , which are at the opposite H angles of the parallelograms which make the B ...
... gnomon , Thus the parallelogram A E HG , together with the complements AF , FC , is the gnomon , which is more briefly expressed by the letters AGK , or EHC , which are at the opposite H angles of the parallelograms which make the B ...
Página 88
... gnomon CMG ; therefore the gnomon CMG is equal to the rectangle AD , DB . To each of these add LG . which is equal to the square on CD . [ II . 4 , Cor . , and I. 34. ] Therefore the gnomon CMG , together with LG , is equal to the ...
... gnomon CMG ; therefore the gnomon CMG is equal to the rectangle AD , DB . To each of these add LG . which is equal to the square on CD . [ II . 4 , Cor . , and I. 34. ] Therefore the gnomon CMG , together with LG , is equal to the ...
Página 89
... gnomon CMG . [ Ax . 2. ] But AM is the rectangle contained by AD , DB , for DM is equal to DB . [ II . 4 , Cor . ] Therefore the rectangle AD , DB is equal to the gnomon GMG . [ Ax . 1. ] To each of these add LG , which is equal to the ...
... gnomon CMG . [ Ax . 2. ] But AM is the rectangle contained by AD , DB , for DM is equal to DB . [ II . 4 , Cor . ] Therefore the rectangle AD , DB is equal to the gnomon GMG . [ Ax . 1. ] To each of these add LG , which is equal to the ...
Página 91
... gnomon AKF , together with the square CK , is equal to twice the rectangle AB , BC . To each of these equals add HF , which is equal to the square on AC . [ II . 4 , Cor . , and I. 34. ] Therefore the gnomon AKF , together with the ...
... gnomon AKF , together with the square CK , is equal to twice the rectangle AB , BC . To each of these equals add HF , which is equal to the square on AC . [ II . 4 , Cor . , and I. 34. ] Therefore the gnomon AKF , together with the ...
Página 92
... them AG . And it was demonstrated that the four CK , BN , GR and RN are quadruple of CK ; therefore the eight rectangles which make up the gnomon AOH are quadruple of AK . And because AK is the rectangle contained EUCLID'S ELEMENTS .
... them AG . And it was demonstrated that the four CK , BN , GR and RN are quadruple of CK ; therefore the eight rectangles which make up the gnomon AOH are quadruple of AK . And because AK is the rectangle contained EUCLID'S ELEMENTS .
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
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 CBA axioms base BC BC is equal 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 Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION 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