The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 3
... ; and any angle formed by them would remain just the same in size if half the legs were broken off . Def . D. Two angles are equal when they admit of being placed one upon the other , so that the EXPLAINED TO BEGINNERS . 3.
... ; and any angle formed by them would remain just the same in size if half the legs were broken off . Def . D. Two angles are equal when they admit of being placed one upon the other , so that the EXPLAINED TO BEGINNERS . 3.
Σελίδα 5
... half of a diameter is a radius . Def . XXI . A triangle is a plane bounded recti- lineal figure , formed by three straight lines . Def . XXII . A quadrilateral is a plane bounded rectilineal figure , formed by four straight lines . Def ...
... half of a diameter is a radius . Def . XXI . A triangle is a plane bounded recti- lineal figure , formed by three straight lines . Def . XXII . A quadrilateral is a plane bounded rectilineal figure , formed by four straight lines . Def ...
Σελίδα 144
... half the line . A For the construction employed we must be able— 1. On a given straight line to describe a square . ( I. 46. ) 2. Through a given point to draw a line parallel to a given right line . ( I. 31. ) We must also know , - 1 ...
... half the line . A For the construction employed we must be able— 1. On a given straight line to describe a square . ( I. 46. ) 2. Through a given point to draw a line parallel to a given right line . ( I. 31. ) We must also know , - 1 ...
Σελίδα 146
... half the line A B. The steps of this proof may be easily indicated by the use of the following equations , which express what is stated in the preceding paragraphs which bear the same numbers : - 1. Rect . A O = rect . CL . 2. Rect . CH ...
... half the line A B. The steps of this proof may be easily indicated by the use of the following equations , which express what is stated in the preceding paragraphs which bear the same numbers : - 1. Rect . A O = rect . CL . 2. Rect . CH ...
Σελίδα 147
... half the line , is equal to the square on the line made up of the half line and the produced part . The propositions required for the construction and proof in this proposition are the same as in the last . F E M L K H A. C B D Let A B ...
... half the line , is equal to the square on the line made up of the half line and the produced part . The propositions required for the construction and proof in this proposition are the same as in the last . F E M L K H A. C B D Let A B ...
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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