The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 36
All the interior angles of any rectia lineal figure , together with four right angles ,
are equal to twice as many right angles as the figure has sides For any rectilineal
figure ABCDE can be divided into as many triangles as the figure has sides , by ...
All the interior angles of any rectia lineal figure , together with four right angles ,
are equal to twice as many right angles as the figure has sides For any rectilineal
figure ABCDE can be divided into as many triangles as the figure has sides , by ...
Side 103
B В semicircle , shall be less than a right angle ; and the angle in the segment
ADC , which is less than a semicircle , shall be greater than a right angle .. Join
AE , and produce Bato F. Then , because EA is equal to ЕВ , , [ I. Definition 15 .
the ...
B В semicircle , shall be less than a right angle ; and the angle in the segment
ADC , which is less than a semicircle , shall be greater than a right angle .. Join
AE , and produce Bato F. Then , because EA is equal to ЕВ , , [ I. Definition 15 .
the ...
Side 230
But the angle ABE is a right angle ; BU therefore the angle ADE is a right angle ;
that is , ED is at right angles to AD . But E Dis at right angles to BD , ( Const .
therefore ED is at right angles to the E plane which passes through BD , DA , ( XI
...
But the angle ABE is a right angle ; BU therefore the angle ADE is a right angle ;
that is , ED is at right angles to AD . But E Dis at right angles to BD , ( Const .
therefore ED is at right angles to the E plane which passes through BD , DA , ( XI
...
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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