A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 22
... each to each , and have also the angles contained by those sides equal to one another , they shall also have their ... and their other angles shall be equal , each to each , namely , those to which the equal sides are opposite .
... each to each , and have also the angles contained by those sides equal to one another , they shall also have their ... and their other angles shall be equal , each to each , namely , those to which the equal sides are opposite .
Página 24
... and the remaining angles of the one to the remaining angles of the other , each to each , to which the equal sides are opposite , namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] ...
... and the remaining angles of the one to the remaining angles of the other , each to each , to which the equal sides are opposite , namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] ...
Página 25
And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles on the other side of the base . ... If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to ...
And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles on the other side of the base . ... If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to ...
Página 29
Therefore also the angle BAC coincides with the angle EDF , and is equal to it . ... may be conducted thus : For let the triangle DEF be applied to ABC so that the bases may coincide , and the vertices fall on opposite A D B sides ...
Therefore also the angle BAC coincides with the angle EDF , and is equal to it . ... may be conducted thus : For let the triangle DEF be applied to ABC so that the bases may coincide , and the vertices fall on opposite A D B sides ...
Página 30
To bisect a given rectilineal angle , that is to divide it into two equal angles . ... If two isosceles triangles be described on opposite sides of the same base the straight line joining their vertices will bisect their common base at ...
To bisect a given rectilineal angle , that is to divide it into two equal angles . ... If two isosceles triangles be described on opposite sides of the same base the straight line joining their vertices will bisect their common base at ...
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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 |