A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Side 18
... a space . 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 EUCLID'S ELEMENTS .
... a space . 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 EUCLID'S ELEMENTS .
Side 19
... describe an equilateral triangle on AB . From the 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 ...
... describe an equilateral triangle on AB . From the 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 ...
Side 20
... describe the equilateral triangle DAB , [ I. 1. ] and produce the straight lines DA , DB to E and F. [ Post . 2. ] From the centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D ...
... describe the equilateral triangle DAB , [ I. 1. ] and produce the straight lines DA , DB to E and F. [ Post . 2. ] From the centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D ...
Side 21
... 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 AE and C are each of them equal ...
... 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 AE and C are each of them equal ...
Side 30
... describe the equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A the two triangles DAF , EAF , the two sides DA , AF are ...
... describe the equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A the two triangles DAF , EAF , the two sides DA , AF are ...
Andre utgaver - Vis alle
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... Euclides Uten tilgangsbegrensning - 1874 |
A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes ... Euclid,Charles Mansford Uten tilgangsbegrensning - 1875 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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