A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página viii
But this is not the case in regard to straight lines , right angles and parallel lines . Concerning these Euclid enunciates other properties in the 10th , 11th and 12th axioms , and these with the corresponding definitions form the ...
But this is not the case in regard to straight lines , right angles and parallel lines . Concerning these Euclid enunciates other properties in the 10th , 11th and 12th axioms , and these with the corresponding definitions form the ...
Página ix
The twelfth axiom may be more simply expressed thus , “ Two straight lines which cut one another cannot be both parallel to a third straight line . " The definitions and axioms together include all the fundamental principles from which ...
The twelfth axiom may be more simply expressed thus , “ Two straight lines which cut one another cannot be both parallel to a third straight line . " The definitions and axioms together include all the fundamental principles from which ...
Página 17
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . NOTE 1 . A Parallelogram is a quadrilateral which has its opposite sides parallel . 2.
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . NOTE 1 . A Parallelogram is a quadrilateral which has its opposite sides parallel . 2.
Página 18
11 . All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 ECCLID'S ELEMENTS .
11 . All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 ECCLID'S ELEMENTS .
Página 51
34 , and treats of the properties of parallel lines . The following construction has important consequences , and may be introduced here :To construct a triangle , having given two sides and an angle opposite to one of them .
34 , and treats of the properties of parallel lines . The following construction has important consequences , and may be introduced here :To construct a triangle , having given two sides and an angle opposite to one of them .
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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 |