The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 132
... square on the side which subtends the right is equal to the sum of the squares on the sides which contain the right . ( Prop . XLVII . ) 4. That if two As have the three sides of the one equal respectively to the three sides of the ...
... square on the side which subtends the right is equal to the sum of the squares on the sides which contain the right . ( Prop . XLVII . ) 4. That if two As have the three sides of the one equal respectively to the three sides of the ...
Σελίδα 133
... square on the side B D in the △ BCD is equal to the sum of the squares on the sides B C and CD . Therefore the square on the side B D is also equal to the sum of the squares on A C and C B. But we know , to start with , that the square ...
... square on the side B D in the △ BCD is equal to the sum of the squares on the sides B C and CD . Therefore the square on the side B D is also equal to the sum of the squares on A C and C B. But we know , to start with , that the square ...
Σελίδα 134
... also said to be contained by two right lines which are respectively equal to two of its con- terminous sides . 3. A square is a rectangle whose conterminous sides are equal . I S 4. In any parallelogram either of the parallelograms THE ...
... also said to be contained by two right lines which are respectively equal to two of its con- terminous sides . 3. A square is a rectangle whose conterminous sides are equal . I S 4. In any parallelogram either of the parallelograms THE ...
Σελίδα 138
... square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts . For the construction employed in this proposition we must be able : - 1. On a given straight line to describe a square . ( I ...
... square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts . For the construction employed in this proposition we must be able : - 1. On a given straight line to describe a square . ( I ...
Σελίδα 140
... square on that part , together with the rectangle contained by the two parts ( A C and CB . ) Here again the gist of the proof consists in showing that the rectangle A E , and its parts A F and CE answer to the description given of them ...
... square on that part , together with the rectangle contained by the two parts ( A C and CB . ) Here again the gist of the proof consists in showing that the rectangle A E , and its parts A F and CE answer to the description given of them ...
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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