The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 17
... ( Prop . I. ) In proving that the construction furnishes us with a line drawn as required , we must know— 1. That radii of the same circle are equal to one another . ( Def . XIV . ) 2. That magnitudes which are equal to the same , are ...
... ( Prop . I. ) In proving that the construction furnishes us with a line drawn as required , we must know— 1. That radii of the same circle are equal to one another . ( Def . XIV . ) 2. That magnitudes which are equal to the same , are ...
Σελίδα 20
... ( Prop . II . ) 2. With a given centre , and at a given distance from that centre , to describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def ...
... ( Prop . II . ) 2. With a given centre , and at a given distance from that centre , to describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def ...
Σελίδα 21
... Prop . II . is supposed to be gone through , and the line A E to be a line obtained as the result of all the operations there indicated . Without going through the construction we cannot tell whether the line required will fall exactly ...
... Prop . II . is supposed to be gone through , and the line A E to be a line obtained as the result of all the operations there indicated . Without going through the construction we cannot tell whether the line required will fall exactly ...
Σελίδα 26
... ( Prop . III . ) For the proof of the proposition we must know , — 1. That if equals be taken from equals , the re- mainders are equal . ( Ax . III . ) 2. That if two As have two sides of the one equal to two sides of the other , each to ...
... ( Prop . III . ) For the proof of the proposition we must know , — 1. That if equals be taken from equals , the re- mainders are equal . ( Ax . III . ) 2. That if two As have two sides of the one equal to two sides of the other , each to ...
Σελίδα 30
... ( 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 △ also ...
... ( 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 △ also ...
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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