The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 32
... unequal ; therefore , as they are not unequal , they must be equal . ( Let this proposition be gone through next with the figure in a different position , and then with the aid of different letters to mark the sides , & c . ) Cor . It ...
... unequal ; therefore , as they are not unequal , they must be equal . ( Let this proposition be gone through next with the figure in a different position , and then with the aid of different letters to mark the sides , & c . ) Cor . It ...
Σελίδα 33
... unequal magnitudes , it is also less than the larger . 3. That if two sides of a △ are equal , the < s * The beginner must not suppose that an elaborate proof of this proposition is unnecessary , because the inequality of one or other ...
... unequal magnitudes , it is also less than the larger . 3. That if two sides of a △ are equal , the < s * The beginner must not suppose that an elaborate proof of this proposition is unnecessary , because the inequality of one or other ...
Σελίδα 35
... unequal at the same time , -which is an impossibility . Now the supposition which leads us of necessity to this absurdity , must itself be absurd . That is , it is absurd to suppose that the two pairs of sides , A C and A D , and B C ...
... unequal at the same time , -which is an impossibility . Now the supposition which leads us of necessity to this absurdity , must itself be absurd . That is , it is absurd to suppose that the two pairs of sides , A C and A D , and B C ...
Σελίδα 36
... unequal . Consequently , the supposition which led to this im- possibility must be absurd . That is , it is absurd to suppose that , on the same base , and on the same side of it , there can be two △ s , having the sides terminat- ing ...
... unequal . Consequently , the supposition which led to this im- possibility must be absurd . That is , it is absurd to suppose that , on the same base , and on the same side of it , there can be two △ s , having the sides terminat- ing ...
Σελίδα 47
... unequal . If they are equal , they are called rights . But suppose they are unequal , then it is easily shown that their sum is the same as that of two rights . D C B For , from the point C draw a straight line EXPLAINED TO BEGINNERS . 47.
... unequal . If they are equal , they are called rights . But suppose they are unequal , then it is easily shown that their sum is the same as that of two rights . D C B For , from the point C draw a straight line EXPLAINED TO BEGINNERS . 47.
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B is equal AC and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed fourth proposition given finite right given line given point given rectilineal given straight line gnomon Grammar greater half a right hypotenuse interior and opposite isosceles Join the points join two given Latin length less line A B line CB linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal