A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes, Exercises and Explanations Appended to Each Proposition1875 - 112 páginas |
Dentro del libro
Resultados 1-5 de 5
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 90
... gnomon AKF , to- gether with the square CK ; therefore the gnomon AKF , together with the square CK , is double of AK . But twice the rectangle AB , BC is double of AK , for F BK is equal to BC . [ II . 4 90 EUCLID'S ELEMENTS .
... gnomon AKF , to- gether with the square CK ; therefore the gnomon AKF , together with the square CK , is double of AK . But twice the rectangle AB , BC is double of AK , for F BK is equal to BC . [ II . 4 90 EUCLID'S ELEMENTS .
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
... . And it was demonstrated that the four CK , BN , GR and RN are quadruple of CK ; therefore the eight rect- angles which make up the gnomon AOH are quadruple of AK . And because AK is the rectangle contained 92 EUCLID'S ELEMENTS .
... . And it was demonstrated that the four CK , BN , GR and RN are quadruple of CK ; therefore the eight rect- angles which make up the gnomon AOH are quadruple of AK . And because AK is the rectangle contained 92 EUCLID'S ELEMENTS .
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 BC is equal bisect centre 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 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