The Elements of Euclid, Bøker 1-6;Bok 11 |
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Resultat 1-3 av 86
Side 21
Wherefore , if one side & c . Q.E.D. PROPOSITION 17. THEOREM . Any two
angles of a triangle are together less than two right angles . Let ABC be a triangle
: any two of its angles are together less than two right angles . Produce BC to D.
Wherefore , if one side & c . Q.E.D. PROPOSITION 17. THEOREM . Any two
angles of a triangle are together less than two right angles . Let ABC be a triangle
: any two of its angles are together less than two right angles . Produce BC to D.
Side 43
Wherefore , equal triangles & c . Q.E.D. PROPOSITION 41. THEOREM . If a
parallelogram and a triangle be on the same basc and between the same
parallels , the parallelogram shall be double of the triangle . Let the
parallelogram ABCD ...
Wherefore , equal triangles & c . Q.E.D. PROPOSITION 41. THEOREM . If a
parallelogram and a triangle be on the same basc and between the same
parallels , the parallelogram shall be double of the triangle . Let the
parallelogram ABCD ...
Side 83
Wherefore , one circumference & c . Q.E.D. PROPOSITION 11. THEOREM . If two
circles touch one another internally , the straight line which joins their centres ,
being produced , shall pass through the point of contact . Let the two circles ABC
...
Wherefore , one circumference & c . Q.E.D. PROPOSITION 11. THEOREM . If two
circles touch one another internally , the straight line which joins their centres ,
being produced , shall pass through the point of contact . Let the two circles ABC
...
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ABCD AC is equal angle ABC angle ACB angle BAC Axiom base bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson square square on AC straight line &c suppose Take taken THEOREM third triangle ABC Wherefore whole