The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 9
... A B C or A C B. A SUPERPOSITION OF FIGURES . B A device of which frequent use is made in proving propositions in geometry , is to compare figures , by * A triangle is named by placing a letter at each of the three angles . Thus it comes ...
... A B C or A C B. A SUPERPOSITION OF FIGURES . B A device of which frequent use is made in proving propositions in geometry , is to compare figures , by * A triangle is named by placing a letter at each of the three angles . Thus it comes ...
Σελίδα 11
... ABC would be of the same size , whether contained by lines a mile long , or by lines of the length of a hair's - breadth . ABC and DEF , and that the one B F EXPLAINED TO BEGINNERS . 11.
... ABC would be of the same size , whether contained by lines a mile long , or by lines of the length of a hair's - breadth . ABC and DEF , and that the one B F EXPLAINED TO BEGINNERS . 11.
Σελίδα 12
... ABC and DEF are equal , and the sides BC and EF coincide in direction , the sides BA and ED will also coincide in direction ( if the s be made to lie on the same side of the coinciding lines ) . But that is not because we make them coin ...
... ABC and DEF are equal , and the sides BC and EF coincide in direction , the sides BA and ED will also coincide in direction ( if the s be made to lie on the same side of the coinciding lines ) . But that is not because we make them coin ...
Σελίδα 13
... not under- stand the real object of those demonstrations . All right angles are equal . This may be proved as follows : Let A B C and DEF be any two rights . Pro- duce the line CB to any point M , and EXPLAINED TO BEGINNERS . 13.
... not under- stand the real object of those demonstrations . All right angles are equal . This may be proved as follows : Let A B C and DEF be any two rights . Pro- duce the line CB to any point M , and EXPLAINED TO BEGINNERS . 13.
Σελίδα 14
... ABC , we should have thes HEK and KEF equal to one another ( see the definition of right s ) ; and also , HED and DEF equal to one another . But as the HEK is larger than the HED , it must be larger than the DEF , which is equal to HED ...
... ABC , we should have thes HEK and KEF equal to one another ( see the definition of right s ) ; and also , HED and DEF equal to one another . But as the HEK is larger than the HED , it must be larger than the DEF , which is equal to HED ...
Άλλες εκδόσεις - Προβολή όλων
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