A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 51
... unequal to EF , that is , it is equal to it ; and AB is equal to DE [ Hyp . ] ; therefore the two sides AB , BC are equal to the two sides DE , EF , each to each ; and the angle ABH is equal to the angle DEF [ Hyp . ] ; therefore , the ...
... unequal to EF , that is , it is equal to it ; and AB is equal to DE [ Hyp . ] ; therefore the two sides AB , BC are equal to the two sides DE , EF , each to each ; and the angle ABH is equal to the angle DEF [ Hyp . ] ; therefore , the ...
Página 55
... the angle AGH is not unequal to the angle GHD ; that is , it is equal to it . But the angle AGH is equal to the angle EGB [ I. 15. ] Therefore the angle EGB is equal to the angle GHD . [ Ax . 1. ] Add to each BOOK I. 29 . 55.
... the angle AGH is not unequal to the angle GHD ; that is , it is equal to it . But the angle AGH is equal to the angle EGB [ I. 15. ] Therefore the angle EGB is equal to the angle GHD . [ Ax . 1. ] Add to each BOOK I. 29 . 55.
Página 79
... unequal division may be either internal or external , i.e. , either in the line itself or in the line produced ; and the relations between the rectangles formed by the segments thus made will be really the same in the two cases and ...
... unequal division may be either internal or external , i.e. , either in the line itself or in the line produced ; and the relations between the rectangles formed by the segments thus made will be really the same in the two cases and ...
Página 87
... unequal parts , the 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 ...
... unequal parts , the 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 ...
Página 88
... unequal segments is the sum of half the line , and the line between the points of section and the lesser segment is the difference of the same two lines . 3. Again , since the rectangle contained by the unequal seg- ments , together ...
... unequal segments is the sum of half the line , and the line between the points of section and the lesser segment is the difference of the same two lines . 3. Again , since the rectangle contained by the unequal seg- ments , together ...
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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 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 less 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