A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 17
... produced ever so far both ways do not meet . 2 . 3 . NOTE 1. A Parallelogram is a quadrilateral which has its ... produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from ...
... produced ever so far both ways do not meet . 2 . 3 . NOTE 1. A Parallelogram is a quadrilateral which has its ... produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from ...
Página 20
... produce the straight lines DA , DB to E and F. [ Post . 2. ] 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 2 . circle GKL ...
... produce the straight lines DA , DB to E and F. [ Post . 2. ] 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 2 . circle GKL ...
Página 21
... produced either through the vertex or through the base , thus giving eight variations of the figure . Ex . 1 . 2 . Construct and demonstrate this problem by joining A with C instead of with B. Draw the figure of this proposition when ...
... produced either through the vertex or through the base , thus giving eight variations of the figure . Ex . 1 . 2 . Construct and demonstrate this problem by joining A with C instead of with B. Draw the figure of this proposition when ...
Página 23
... produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the 1 . side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC ...
... produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the 1 . side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC ...
Página 27
... produce AC , AD to E , F. Again , because BC is equal to BD [ Hyp . ] , the angle BDC is equal to the angle BCD . [ I. 5. ] But it has been proved to be greater ; which is impossible . 3 . Then because AC is equal to AD , in the ...
... produce AC , AD to E , F. Again , because BC is equal to BD [ Hyp . ] , the angle BDC is equal to the angle BCD . [ I. 5. ] But it has been proved to be greater ; which is impossible . 3 . Then because AC is equal to AD , in the ...
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 |