A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 29
Euclides Charles Mansford. if the base BC coincides with the base EF , but the sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG ; then on the same base and on the same side of it there will ...
Euclides Charles Mansford. if the base BC coincides with the base EF , but the sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG ; then on the same base and on the same side of it there will ...
Página 31
... BC , CD , each to each ; and the angle ACD is equal to the angle BCD [ Con . ] ; therefore the base AD is equal to the base DB . [ I. 4. ] Therefore the straight line AB is divided into two equal parts at the point D. Q.E.F. Ex . The ...
... BC , CD , each to each ; and the angle ACD is equal to the angle BCD [ Con . ] ; therefore the base AD is equal to the base DB . [ I. 4. ] Therefore the straight line AB is divided into two equal parts at the point D. Q.E.F. Ex . The ...
Página 38
... BC be 1 . produced to D : the exterior angle ACD shall be greater than either of the interior opposite angles СВА ... base AB is equal to the base CF , and the triangle AEB to the triangle CEF , B and the remaining angles to the re ...
... BC be 1 . produced to D : the exterior angle ACD shall be greater than either of the interior opposite angles СВА ... base AB is equal to the base CF , and the triangle AEB to the triangle CEF , B and the remaining angles to the re ...
Página 46
... base BC shall be greater than the base EF . B 2 . Of the two sides DE , DF , let DE be the side which is not greater than the other . At the point D in the straight line DE , make the angle EDG equal to the angle BAC [ I. 23. ] , and ...
... base BC shall be greater than the base EF . B 2 . Of the two sides DE , DF , let DE be the side which is not greater than the other . At the point D in the straight line DE , make the angle EDG equal to the angle BAC [ I. 23. ] , and ...
Página 48
... base of the one greater than the base of the other , the angle contained by the sides of that which has the greater ... BC greater than the base EF : the angle BAC shall be greater than the angle EDF . 3 . E For if not , the angle BAC is ...
... base of the one greater than the base of the other , the angle contained by the sides of that which has the greater ... BC greater than the base EF : the angle BAC shall be greater than the angle EDF . 3 . E For if not , the angle BAC is ...
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A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal