The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 8
... fourth proposition , in the proof of which we have to make use of the truth that two equal straight lines will coincide throughout their entire length . two figures must intersect one another in two points at 8 THE FIRST BOOK OF EUCLID.
... fourth proposition , in the proof of which we have to make use of the truth that two equal straight lines will coincide throughout their entire length . two figures must intersect one another in two points at 8 THE FIRST BOOK OF EUCLID.
Σελίδα 10
... through the steps of the proof . It must be borne in mind , that the object of the propositions is not to convince us of the truth of 1 certain facts , or of the existence of certain properties 10 THE FIRST BOOK OF EUCLID.
... through the steps of the proof . It must be borne in mind , that the object of the propositions is not to convince us of the truth of 1 certain facts , or of the existence of certain properties 10 THE FIRST BOOK OF EUCLID.
Σελίδα 20
... proof of its cor- rectness , to remain word for word the same in all four cases . When the proposition has been mastered with the first construction , it should be carefully gone through with each of the other three ; and then all four ...
... proof of its cor- rectness , to remain word for word the same in all four cases . When the proposition has been mastered with the first construction , it should be carefully gone through with each of the other three ; and then all four ...
Σελίδα 25
... proof may be gone through word for word as before . Then ( in the original figure ) let it be supposed that we know that the sides CA and AB are equal respectively to FD and DE , and the CAB to the FDE . By altering the position of the ...
... proof may be gone through word for word as before . Then ( in the original figure ) let it be supposed that we know that the sides CA and AB are equal respectively to FD and DE , and the CAB to the FDE . By altering the position of the ...
Σελίδα 26
... 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 each , and have ...
... 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 each , and have ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
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2nd Edit 3rd Edition A B and CD A B is equal AC and CB axiom beginner bisected C. S. Calverley Consequently diagonal draw a straight equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle F. A. Paley Fcap figure finite right line follows formed geometry given finite right given line given point given straight line gnomon greater interior and opposite isosceles J. W. Donaldson 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 Post 8vo proof Prop proposition prove this proposition rectangle contained right angles side A C square suppose three sides triangle unequal