The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 7
... equal to the same , are equal to one another . II . If equals be added to equals , or if equals be added to the same , the sums will be equal . III . If equals be taken from equals , or if equals be taken from the same , the remainders ...
... equal to the same , are equal to one another . II . If equals be added to equals , or if equals be added to the same , the sums will be equal . III . If equals be taken from equals , or if equals be taken from the same , the remainders ...
Σελίδα 22
... equal to the angle included between the correspond- ing sides of the other , then the bases , or third sides , will also be equal , and the re- maining angles will be equal , each to each , those being equal to one another to which ...
... equal to the angle included between the correspond- ing sides of the other , then the bases , or third sides , will also be equal , and the re- maining angles will be equal , each to each , those being equal to one another to which ...
Σελίδα 23
... equal to the FDE ; that the CBA is equal to the FED ; and that the As are equal in area . The mode of proving this is to show that the one △ may be so placed upon the other as to coincide with it in every part . Apply the ACB to the ...
... equal to the FDE ; that the CBA is equal to the FED ; and that the As are equal in area . The mode of proving this is to show that the one △ may be so placed upon the other as to coincide with it in every part . Apply the ACB to the ...
Σελίδα 24
... equal to the FDE ; that the CBA is equal to the FED ; and that the As are equal in area . Instead of first placing the line A C on the line D F , and then showing that because the Дs ACB and DFE are equal , the line CB will lie along ...
... equal to the FDE ; that the CBA is equal to the FED ; and that the As are equal in area . Instead of first placing the line A C on the line D F , and then showing that because the Дs ACB and DFE are equal , the line CB will lie along ...
Σελίδα 25
... equal ; and if the equal sides be produced , the angles at the other side of the base are likewise equal . An isosceles A is a △ which has two sides equal . In this proposition , therefore , we are supposed to know , to start with ...
... equal ; and if the equal sides be produced , the angles at the other side of the base are likewise equal . An isosceles A is a △ which has two sides equal . In this proposition , therefore , we are supposed to know , to start with ...
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