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
The twelfth axiom may be more simply expressed thus , “ Two straight lines which cut one another cannot be both ... as for example : “ Any two sides of a triangle are together greater than the third side , ” and “ To bisect a given ...
The twelfth axiom may be more simply expressed thus , “ Two straight lines which cut one another cannot be both ... as for example : “ Any two sides of a triangle are together greater than the third side , ” and “ To bisect a given ...
Página 19
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 circle BCD ...
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 circle BCD ...
Página 20
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 . From the point A 2 . to B ...
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 . From the point A 2 . to B ...
Página 21
Construct and demonstrate this problem by joining A with C instead of with B. 2. Draw the figure of this proposition when the given point is in the given line produced . PROPOSITION 3. PROBLEM . From the greater of two given straight ...
Construct and demonstrate this problem by joining A with C instead of with B. 2. Draw the figure of this proposition when the given point is in the given line produced . PROPOSITION 3. PROBLEM . From the greater of two given straight ...
Página 30
To bisect a given rectilineal angle , that is to divide it into two equal angles . Let BAC be the given recti- . A 1 . lineal angle . ... Therefore the given rectilineal angle BAC is bisected by the straight line AF .
To bisect a given rectilineal angle , that is to divide it into two equal angles . Let BAC be the given recti- . A 1 . lineal angle . ... Therefore the given rectilineal angle BAC is bisected by the straight line AF .
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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 |