The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 62
... contain a greater angle . For the proof of this proposition we must know that , 1. Any two sides of a △ are together greater than the third side . ( Prop . XX . ) 2. If the same quantity be added to each of two unequal quantities , the ...
... contain a greater angle . For the proof of this proposition we must know that , 1. Any two sides of a △ are together greater than the third side . ( Prop . XX . ) 2. If the same quantity be added to each of two unequal quantities , the ...
Σελίδα 71
... contained by the said two sides of one of them greater than the angle contained by the said two sides of the other , the base of that triangle which has the greater angle will be greater than the base of the other . For the construction ...
... contained by the said two sides of one of them greater than the angle contained by the said two sides of the other , the base of that triangle which has the greater angle will be greater than the base of the other . For the construction ...
Σελίδα 74
... contained by the two sides of the one which has the greater base will be greater than the angle contained by the corresponding two sides of the other . The proof of this proposition is of the indirect kind . No construction is made use ...
... contained by the two sides of the one which has the greater base will be greater than the angle contained by the corresponding two sides of the other . The proof of this proposition is of the indirect kind . No construction is made use ...
Σελίδα 82
... : — да F D B The 4th , 8th , and 26th propositions contain all the con- ditions essential for the equality of two As in all respects , with one exception , which will be mentioned presently . 82 THE FIRST BOOK OF EUCLID.
... : — да F D B The 4th , 8th , and 26th propositions contain all the con- ditions essential for the equality of two As in all respects , with one exception , which will be mentioned presently . 82 THE FIRST BOOK OF EUCLID.
Σελίδα 127
... contain the right angle . For the construction employed in this proposition we must be able , - 1. To join two given points by a straight line . ( Post . 1. ) 2. From a given point to draw a straight line which shall be parallel to a ...
... contain the right angle . For the construction employed in this proposition we must be able , - 1. To join two given points by a straight line . ( Post . 1. ) 2. From a given point to draw a straight line which shall be parallel to a ...
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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