A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 85
... rectangle AB , BC is equal to the rectangle AC , CB , together with the square on BC . Therefore , if a straight ... twice the rectangle contained by the two parts . 1 . Let the straight line AB be divided into any two parts at the point ...
... rectangle AB , BC is equal to the rectangle AC , CB , together with the square on BC . Therefore , if a straight ... twice the rectangle contained by the two parts . 1 . Let the straight line AB be divided into any two parts at the point ...
Página 91
... 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 squares CK , HF , is equal to twice the rectangle AB , BC ...
... 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 squares CK , HF , is equal to twice the rectangle AB , BC ...
Página 97
... twice the sum of the squares on the two lines . Ex . If AC contains m lineal units , and CD n such units , shew that ... rectangle contained by the whole and one of the parts may be equal to the square on the other part . Let AB be the ...
... twice the sum of the squares on the two lines . Ex . If AC contains m lineal units , and CD n such units , shew that ... rectangle contained by the whole and one of the parts may be equal to the square on the other part . Let AB be the ...
Página 99
... twice the rectangle contained by the side on which , when produced , the perpendicular falls , and the staight line ... triangle , the square BOOK II . 12 . 99.
... twice the rectangle contained by the side on which , when produced , the perpendicular falls , and the staight line ... triangle , the square BOOK II . 12 . 99.
Página 100
Euclides Charles MANSFORD. PROPOSITION 13. THEOREM . In every triangle , the square on the side subtending an acute angle , is less than the squares on the sides containing that angle , by twice the rectangle contained by either of these ...
Euclides Charles MANSFORD. PROPOSITION 13. THEOREM . In every triangle , the square on the side subtending an acute angle , is less than the squares on the sides containing that angle , by twice the rectangle contained by either of these ...
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