A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 17
A rhombus is that which has all its sides equal , but its angles are not right angles . 33. A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34.
A rhombus is that which has all its sides equal , but its angles are not right angles . 33. A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34.
Página 22
... or third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely , those to which the equal sides are opposite . Let ABC , DEF be two triangles which have the 1 . two sides ...
... or third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely , those to which the equal sides are opposite . Let ABC , DEF be two triangles which have the 1 . two sides ...
Página 24
... 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 because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hyp . ] ...
... 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 because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hyp . ] ...
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
The demonstration of this prop . 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 D Q.E.D. BO 1 sides of the base . Let GBC represent the position of ...
The demonstration of this prop . 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 D Q.E.D. BO 1 sides of the base . Let GBC represent the position of ...
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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 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 drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half 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 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 |