A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
Dentro del libro
Resultados 1-5 de 21
Página xi
... Const : ' ) , & c . , show whence the statements to which they are attached have been derived . Thus starting with the elementary truths in the definitions and axioms Euclid proceeds to prove other and more complex truths which are ...
... Const : ' ) , & c . , show whence the statements to which they are attached have been derived . Thus starting with the elementary truths in the definitions and axioms Euclid proceeds to prove other and more complex truths which are ...
Página 21
... [ Const . ] Therefore AE and C are each of them equal to AD . Therefore AE is equal to C. [ Ax . 1. ] Therefore from AB the greater of two given straight lines , a part AE has been cut off equal to C the less . Q.E.F. If Euclid had ...
... [ Const . ] Therefore AE and C are each of them equal to AD . Therefore AE is equal to C. [ Ax . 1. ] Therefore from AB the greater of two given straight lines , a part AE has been cut off equal to C the less . Q.E.F. If Euclid had ...
Página 33
... [ Const . ] , and HC is 3 . common to the two triangles FHC , GHC ; the two sides FH , HC are equal to the two sides GH , HC , each to each ; and the base CF is equal to the base CG [ Def . ] ; therefore the angle CHF is equal to the ...
... [ Const . ] , and HC is 3 . common to the two triangles FHC , GHC ; the two sides FH , HC are equal to the two sides GH , HC , each to each ; and the base CF is equal to the base CG [ Def . ] ; therefore the angle CHF is equal to the ...
Página 38
... [ Const . ] the two sides AE , EB are equal to the two sides CE , EF , each to each ; and the angle AEB is equal to the angle CEF , because they are opposite verti- cal angles ; [ I. 15. ] therefore the base AB is equal to the base CF ...
... [ Const . ] the two sides AE , EB are equal to the two sides CE , EF , each to each ; and the angle AEB is equal to the angle CEF , because they are opposite verti- cal angles ; [ I. 15. ] therefore the base AB is equal to the base CF ...
Página 40
... [ Const . ] Therefore the angle ABD is also greater than the angle ACB . Much more then is the angle ABC greater than the angle ACB . [ Ax . 9. ] Therefore , the greater side , & c . Q.E.D. This proposition should be compared with prop ...
... [ Const . ] Therefore the angle ABD is also greater than the angle ACB . Much more then is the angle ABC greater than the angle ACB . [ Ax . 9. ] Therefore , the greater side , & c . Q.E.D. This proposition should be compared with prop ...
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 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