A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes, Exercises and Explanations Appended to Each Proposition1875 - 112 páginas |
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Página 80
... contained in it . Thus if the length of a foot rule be taken as the unit , any line along which this unit can be set ... rectangle will give the number of square units contained in the area of the rectangle . " Let the unit of length be ...
... contained in it . Thus if the length of a foot rule be taken as the unit , any line along which this unit can be set ... rectangle will give the number of square units contained in the area of the rectangle . " Let the unit of length be ...
Página 85
Euclid, Charles Mansford. which BE is equal to BC ; and AD is contained by AC , CB , for CD is equal to CB ; and CE is the square on BC . Therefore the rectangle AB , BC is equal to the rectangle AC , CB , together with the square on BC ...
Euclid, Charles Mansford. which BE is equal to BC ; and AD is contained by AC , CB , for CD is equal to CB ; and CE is the square on BC . Therefore the rectangle AB , BC is equal to the rectangle AC , CB , together with the square on BC ...
Página 86
... rectangle contained by AC , CB , for CG is equal to CB ; therefore GE is also equal to the rectangle AC , CB . [ Ax . 1 ] Therefore AG , GE are equal to twice the rectangle AC , CB . And HF , CK are the squares on AC , CB . Therefore ...
... rectangle contained by AC , CB , for CG is equal to CB ; therefore GE is also equal to the rectangle AC , CB . [ Ax . 1 ] Therefore AG , GE are equal to twice the rectangle AC , CB . And HF , CK are the squares on AC , CB . Therefore ...
Página 87
... rectangle contained by the unequal parts , together with the square on the line between the points of section , is equal to the square on half the line . Let the straight line AB be divided into two 1 . equal parts at the point C , and ...
... rectangle contained by the unequal parts , together with the square on the line between the points of section , is equal to the square on half the line . Let the straight line AB be divided into two 1 . equal parts at the point C , and ...
Página 88
... rectangle contained by AD , DB , for DH is equal to DB ; [ II . 4 , Cor . ] and DF together with CH is 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 ...
... rectangle contained by AD , DB , for DH is equal to DB ; [ II . 4 , Cor . ] and DF together with CH is 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 ...
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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