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
... rectangle is said to be contained by any two of the straight lines which contain one of the right angles . 2. In ... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the ...
... rectangle is said to be contained by any two of the straight lines which contain one of the right angles . 2. In ... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the ...
Página 83
... contained by A , EC . Therefore the rectangle contained by A , BC is equal to the several rectangles contained by A , BD , and by A , DE , and by A , EC . Therefore , if there be two straight lines , & c . Q.E.D. The corresponding ...
... contained by A , EC . Therefore the rectangle contained by A , BC is equal to the several rectangles contained by A , BD , and by A , DE , and by A , EC . Therefore , if there be two straight lines , & c . Q.E.D. The corresponding ...
Página 84
... rectangle contained by BA , AC , for it is contained by DA , AC , of which DA is equal to BA ; and CE is contained by AB , BC , for BE is equal to AB . Therefore the rectangle AB , AC , together with the rectangle AB , BC , is equal to ...
... rectangle contained by BA , AC , for it is contained by DA , AC , of which DA is equal to BA ; and CE is contained by AB , BC , for BE is equal to AB . Therefore the rectangle AB , AC , together with the rectangle AB , BC , is equal to ...
Página 85
Euclides 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 ...
Euclides 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 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 . 1 . Let the straight line AB be divided into two 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 . 1 . Let the straight line AB be divided into two equal parts at the point C , and ...
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