A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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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 Care 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 Care 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 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 angle ...
... [ Const . ] , and HC is 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 angle ...
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 vertical angles ; [ I. 15. ] therefore the base AB is equal to the base CF , and ...
... [ 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 vertical angles ; [ I. 15. ] therefore the base AB is equal to the base CF , and ...
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. A 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. A 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
ABCD AC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure remainder result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |