The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 7
... of the two larger magnitudes will be larger than the sum of the two less . * The process by which any figure is produced , is called the construction of the figure . VI . Things which are doubles of the same , EXPLAINED TO BEGINNERS .
... of the two larger magnitudes will be larger than the sum of the two less . * The process by which any figure is produced , is called the construction of the figure . VI . Things which are doubles of the same , EXPLAINED TO BEGINNERS .
Σελίδα 8
... doubles of those halves , that is , the magnitudes themselves , would be unequal . The latter part of this axiom is commonly set down as a corollary to the thirteenth proposition ; but it is really made use of much earlier , -in the ...
... doubles of those halves , that is , the magnitudes themselves , would be unequal . The latter part of this axiom is commonly set down as a corollary to the thirteenth proposition ; but it is really made use of much earlier , -in the ...
Σελίδα 108
... varieties of construction effect the same object , viz . , to get two parallelograms upon the same base , of which one is the double of one of the s and the other of the other . ABFD , upon the same base , A B , 108 THE FIRST BOOK OF ...
... varieties of construction effect the same object , viz . , to get two parallelograms upon the same base , of which one is the double of one of the s and the other of the other . ABFD , upon the same base , A B , 108 THE FIRST BOOK OF ...
Σελίδα 110
... double of the △ ABD , being divided into two equal parts , of which the △ ABD is one , by its diagonal B D. Also the parallelogram E F G H is the double of the △ EFH , being divided into two equal parts , of which the △ EFH is one ...
... double of the △ ABD , being divided into two equal parts , of which the △ ABD is one , by its diagonal B D. Also the parallelogram E F G H is the double of the △ EFH , being divided into two equal parts , of which the △ EFH is one ...
Σελίδα 114
... double of one of two equal magnitudes , it is also the double of the other ( consequence of the 7th axiom ) . Let A B C D and A BE be a parallelogram and a △ D A B CI upon the same base , and between the same parallels . It has to be ...
... double of one of two equal magnitudes , it is also the double of the other ( consequence of the 7th axiom ) . Let A B C D and A BE be a parallelogram and a △ D A B CI upon the same base , and between the same parallels . It has to 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