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
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CBA axioms base BC BC is equal bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal