The Elements of Euclid |
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Side 13
XXXV . Parallel straight lines , are such as are in the same plane , and which
being produced ever so far both ways , do not meet . POSTULATES . I : Let it be
granted that a straight line may be drawn from any one point to any other point . II
.
XXXV . Parallel straight lines , are such as are in the same plane , and which
being produced ever so far both ways , do not meet . POSTULATES . I : Let it be
granted that a straight line may be drawn from any one point to any other point . II
.
Side 14
If a straight line meet two straight lines , so as to make the “ two interior angles on
the same side of it taken together less " than two right angles , these straight lines
being continually “ produced , shall at length meet upon that side on which are ...
If a straight line meet two straight lines , so as to make the “ two interior angles on
the same side of it taken together less " than two right angles , these straight lines
being continually “ produced , shall at length meet upon that side on which are ...
Side 17
The angles at the base of an isosceles triangle are equal to one another ; and , if
the equal sides be produced , the angles upon the other side of the base shall be
equal . Let ABC be an isosceles triangle , of which the side AB is с b Book I.
The angles at the base of an isosceles triangle are equal to one another ; and , if
the equal sides be produced , the angles upon the other side of the base shall be
equal . Let ABC be an isosceles triangle , of which the side AB is с b Book I.
Side 18
b Book I. equal to AC , and let the straight lines AB , AC be produced to SD and E
, the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle
BCE . In BD take any point F , and from AE the greater , cut off a 3. 1 . AG equal ...
b Book I. equal to AC , and let the straight lines AB , AC be produced to SD and E
, the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle
BCE . In BD take any point F , and from AE the greater , cut off a 3. 1 . AG equal ...
Side 23
A Let AB be the given straight line , which may be produced to any length both
ways , and let C be a point without it . It is required to draw a straight line с
perpendicular to AB from the point C. Take any point D upon the other side of AB
, and ...
A Let AB be the given straight line , which may be produced to any length both
ways , and let C be a point without it . It is required to draw a straight line с
perpendicular to AB from the point C. Take any point D upon the other side of AB
, and ...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1825 |
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Euclid,Robert Simson Uten tilgangsbegrensning - 1838 |
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1892 |
Vanlige uttrykk og setninger
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