A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
Dentro del libro
Página ix
The truths to be proved , and the constructions to be made , set forth in general language , form propositions which are either theorems or problems . The former propose something which is to be proved , the latter something to be done ...
The truths to be proved , and the constructions to be made , set forth in general language , form propositions which are either theorems or problems . The former propose something which is to be proved , the latter something to be done ...
Página x
Next follows the construction , directing what lines and circles are to be drawn to aid in the proof of the theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected course of reasoning that ...
Next follows the construction , directing what lines and circles are to be drawn to aid in the proof of the theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected course of reasoning that ...
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 19
PROBLEM . To describe an equilateral triangle on a given finite straight line . Let AB be the given straight line . It is re1 . quired to describe an equilateral triangle on AB . From the centre A , at the distance AB , describe 2. the ...
PROBLEM . To describe an equilateral triangle on a given finite straight line . Let AB be the given straight line . It is re1 . quired to describe an equilateral triangle on AB . From the centre A , at the distance AB , describe 2. the ...
Página 20
PROBLEM . From a given point to draw a straight line equal to a given straight line . 1 . Let A be the given point , and BC the given straight line . It is required to draw from the point A a straight line equal to BC .
PROBLEM . From a given point to draw a straight line equal to a given straight line . 1 . Let A be the given point , and BC the given straight line . It is required to draw from the point A a straight line equal to BC .
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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 |