A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página ix
... Two straight lines which cut one another cannot be both parallel to a third straight line . ... as for example : " Any two sides of a triangle are together greater than the third side , " and " To bisect a given finite ...
... Two straight lines which cut one another cannot be both parallel to a third straight line . ... as for example : " Any two sides of a triangle are together greater than the third side , " and " To bisect a given finite ...
Página 15
Of three - sided figures an equilateral triangle is that which has three equal sides . 25. An isosceles triangle is that which has only two sides equal . 26. A scalene triangle is that which has three unequal sides . 27.
Of three - sided figures an equilateral triangle is that which has three equal sides . 25. An isosceles triangle is that which has only two sides equal . 26. A scalene triangle is that which has three unequal sides . 27.
Página 16
Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . 31. An oblong is that which has all its angles right angles , but not all its sides . equal . 32. A rhombus is that which has ...
Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . 31. An oblong is that which has all its angles right angles , but not all its sides . equal . 32. A rhombus is that which has ...
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 19
BCD , AC is equal to AB . [ Def . 15. ] And because the point B is the centre of the circle ACE , BC is equal to BA . [ Def . 15. ] ... Ex . Describe a rhombus whose sides shall each of them be equal to one of its diagonals .
BCD , AC is equal to AB . [ Def . 15. ] And because the point B is the centre of the circle ACE , BC is equal to BA . [ Def . 15. ] ... Ex . Describe a rhombus whose sides shall each of them be equal to one of its diagonals .
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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 |