Euclid's Elements, Βιβλία 1-6;Βιβλίο 11Dent, 1933 - 298 σελίδες |
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Αποτελέσματα 1 - 3 από τα 78.
Σελίδα 29
... Hypothesis . the two sides GB , BC are equal to the two sides DE , EF , each to each ; and the angle GBC is equal to the angle DEF ; [ Hypothesis . therefore the triangle GBC is equal to the triangle DEF , and the other angles to the ...
... Hypothesis . the two sides GB , BC are equal to the two sides DE , EF , each to each ; and the angle GBC is equal to the angle DEF ; [ Hypothesis . therefore the triangle GBC is equal to the triangle DEF , and the other angles to the ...
Σελίδα 30
... Hypothesis . the two sides AB , BH are equal to the two sides DE , EF , each to each ; and the angle ABH is equal to the angle DEF ; [ Hypothesis . therefore the triangle ABH is equal to the triangle DEF , and the other angles to the ...
... Hypothesis . the two sides AB , BH are equal to the two sides DE , EF , each to each ; and the angle ABH is equal to the angle DEF ; [ Hypothesis . therefore the triangle ABH is equal to the triangle DEF , and the other angles to the ...
Σελίδα 100
... Hypothesis . the straight lines from their centres are equal ; [ III . Def . 1 . therefore the two sides BK , KC are equal to the two sides EL , LF , each to each ; and the base BC is equal to the base EF ; [ Hypothesis . therefore the ...
... Hypothesis . the straight lines from their centres are equal ; [ III . Def . 1 . therefore the two sides BK , KC are equal to the two sides EL , LF , each to each ; and the base BC is equal to the base EF ; [ Hypothesis . therefore the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shown sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM touches the circle triangle ABC triangle DEF twice the rectangle Wherefore whole angle