The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 30
... less . ( Prop . III . ) And we require to know , — 1. That a part of any 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 ...
... less . ( Prop . III . ) And we require to know , — 1. That a part of any 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 ...
Σελίδα 33
... less than one of two equal magnitudes , it is also less than the other . 2. That if a magnitude be less than the smaller of two unequal magnitudes , it is also less than the larger . 3. That if two sides of a △ are equal , the < s ...
... less than one of two equal magnitudes , it is also less than the other . 2. That if a magnitude be less than the smaller of two unequal magnitudes , it is also less than the larger . 3. That if two sides of a △ are equal , the < s ...
Σελίδα 34
... less than the ACD ( being a part of it ) . Therefore the B C D must also be less than the ZAD C , which is equal to the AC D. But the AD C is less than the a part of it ) . Therefore the BCD , which is A D C , must also be less than the ...
... less than the ACD ( being a part of it ) . Therefore the B C D must also be less than the ZAD C , which is equal to the AC D. But the AD C is less than the a part of it ) . Therefore the BCD , which is A D C , must also be less than the ...
Σελίδα 35
... less than the E D C ( being a part of it ) therefore the B D C is also less than the F C D , which is equal to E D C. Much more then is the B D C less than the △ B C D , which is greater than the F C D. • But it was before shown that ...
... less than the E D C ( being a part of it ) therefore the B D C is also less than the F C D , which is equal to E D C. Much more then is the B D C less than the △ B C D , which is greater than the F C D. • But it was before shown that ...
Σελίδα 40
... less . ( Prop . III . ) 3. On a given right line to construct an equilateral A. ( Prop . I. ) To demonstrate that the construction effects what is required , we must know- That if two As have the three sides of the one equal to the ...
... less . ( Prop . III . ) 3. On a given right line to construct an equilateral A. ( Prop . I. ) To demonstrate that the construction effects what is required , we must know- That if two As have the three sides of the one equal to the ...
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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