The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 30
... whole is less than that whole . 2. That if , in two As , two sides of the one are equal to two sides of the other , each to each , and the included of the first △ also equal to the included of the second A , then those two As are equal ...
... whole is less than that whole . 2. That if , in two As , two sides of the one are equal to two sides of the other , each to each , and the included of the first △ also equal to the included of the second A , then those two As are equal ...
Σελίδα 31
... whole of which it is a part . Now , a supposition which leads to an absurdity must be itself absurd . Therefore it is absurd to suppose that A C could be longer than C B , while the s CAB and C B A are equal . Next , suppose that the ...
... whole of which it is a part . Now , a supposition which leads to an absurdity must be itself absurd . Therefore it is absurd to suppose that A C could be longer than C B , while the s CAB and C B A are equal . Next , suppose that the ...
Σελίδα 32
... whole of which it is a part . But a supposition which leads to an absurdity must be itself absurd . Hence it is absurd to suppose that BC is longer than A C , while the CB A is equal to the CAB . It has thus been proved that A C cannot ...
... whole of which it is a part . But a supposition which leads to an absurdity must be itself absurd . Hence it is absurd to suppose that BC is longer than A C , while the CB A is equal to the CAB . It has thus been proved that A C cannot ...
Σελίδα 42
... whole A C B having been divided into two equal parts by the line C D. Thus two sides and the included of the one △ are equal respectively to two sides and the included the other A. of These As , therefore , are equal in every other re ...
... whole A C B having been divided into two equal parts by the line C D. Thus two sides and the included of the one △ are equal respectively to two sides and the included the other A. of These As , therefore , are equal in every other re ...
Σελίδα 78
... whole of which it is a part — which is an impossibility . It follows , therefore , that the supposition which would lead of necessity to this impossibility ( namely , that the side A C is greater than the side DF ) must itself be ...
... whole of which it is a part — which is an impossibility . It follows , therefore , that the supposition which would lead of necessity to this impossibility ( namely , that the side A C is greater than the side DF ) must itself be ...
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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