A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 14
And this point is called the centre of the circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the ...
And this point is called the centre of the circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the ...
Página 17
2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES .
2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES .
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From the centre A , at the distance AB , describe 2. the circle BCD . [ Post . 3. ] From the centre B , at the distance BA , describe the circle ACE . [ Post . 3. ] From the point C , in which the circles cut one another , draw the ...
From the centre A , at the distance AB , describe 2. the circle BCD . [ Post . 3. ] From the centre B , at the distance BA , describe the circle ACE . [ Post . 3. ] From the point C , in which the circles cut one another , draw the ...
Página 20
From the centre B , at the distance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the distance DG , describe the circle GKL , meeting DE in L. [ Post . 3. ] AL shall be equal to BC . 3 .
From the centre B , at the distance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the distance DG , describe the circle GKL , meeting DE in L. [ Post . 3. ] AL shall be equal to BC . 3 .
Página 21
From the point 2 . A draw the straight line AD equal to C ; [ I. 2. ] and from the centre A , at the distance AD , describe A the circle DEF . [ Post . 3. ] AE shall be equal to C. Because the point A is the centre of the circle 3 .
From the point 2 . A draw the straight line AD equal to C ; [ I. 2. ] and from the centre A , at the distance AD , describe A the circle DEF . [ Post . 3. ] AE shall be equal to C. Because the point A is the centre of the circle 3 .
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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 |