A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 14
... 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 diam- eter and the part of the circumference ...
... 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 diam- eter and the part of the circumference ...
Página 17
... centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES . 17.
... centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same POSTULATES . 17.
Página 19
... 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 straight ...
... 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 straight ...
Página 20
... centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the dis- tance DG , describe the H circle GKL , meeting DE in L. [ Post . 3. ] AL shall be equal to BC . Because the point ...
... centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the dis- tance DG , describe the H circle GKL , meeting DE in L. [ Post . 3. ] AL shall be equal to BC . Because the point ...
Página 21
... centre A , at the distance AD , describe the circle DEF . [ Post . 3. ] AE shall be equal to C. A B Because the point A is the centre of the circle 3 . DEF , AE is equal to AD . [ Def . 15. ] But C is equal to AD . [ Const . ] Therefore ...
... centre A , at the distance AD , describe the circle DEF . [ Post . 3. ] AE shall be equal to C. A B Because the point A is the centre of the circle 3 . DEF , AE is equal to AD . [ Def . 15. ] But C is equal to AD . [ Const . ] Therefore ...
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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 CEA axioms base BC 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 less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop 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