The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 134
... magnitudes of the same kind to one another in respect of quantity . 4. Magnitudes are said to have a ratio to one another , when the less can be multiplied so as to exceed the other . 5. The first of four magnitudes is said to have the ...
... magnitudes of the same kind to one another in respect of quantity . 4. Magnitudes are said to have a ratio to one another , when the less can be multiplied so as to exceed the other . 5. The first of four magnitudes is said to have the ...
Página 137
... magnitudes are taken , two and two . 19. Ex æquali . This term is used simply by itself , when the first magnitude ... magnitudes , are equal to one another . 2. Those magnitudes , of which the same or equal mag- nitudes are ...
... magnitudes are taken , two and two . 19. Ex æquali . This term is used simply by itself , when the first magnitude ... magnitudes , are equal to one another . 2. Those magnitudes , of which the same or equal mag- nitudes are ...
Página 148
Euclid Isaac Todhunter, Robert Simson. " Let A and B be equal magnitudes , and C any other magnitude : each of the magnitudes A and B shall have the same ratio to C ; and C shall have the same ratio to each of the magnitudes A and B ...
Euclid Isaac Todhunter, Robert Simson. " Let A and B be equal magnitudes , and C any other magnitude : each of the magnitudes A and B shall have the same ratio to C ; and C shall have the same ratio to each of the magnitudes A and B ...
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Términos y frases comunes
ABCD AC is equal adjacent angles 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 diameter 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 shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore