A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 58
... . Similarly the angle O is equal to c . Also d is equal to D , for they are each equal to e ; and in like manner A is equal to a . ThereA f ! B fore the exterior angles are equal to the angles a 888 EUCLID'S ELEMENTS . 58.
... . Similarly the angle O is equal to c . Also d is equal to D , for they are each equal to e ; and in like manner A is equal to a . ThereA f ! B fore the exterior angles are equal to the angles a 888 EUCLID'S ELEMENTS . 58.
Página 59
Euclides Charles MANSFORD. fore the exterior angles are equal to the angles a , b , c , and d . But these angles are equal to four right angles . [ Cor . I. 15. ] Therefore the exterior angles are equal to four right angles . Therefore ...
Euclides Charles MANSFORD. fore the exterior angles are equal to the angles a , b , c , and d . But these angles are equal to four right angles . [ Cor . I. 15. ] Therefore the exterior angles are equal to four right angles . Therefore ...
Página 74
... fore the four straight lines BA , AD , DE , EB are equal to one another , and the parallelogram ADEB is equilateral . [ Ax . 1. ] Likewise all its angles are right angles . For since the straight line AD meets the parallels AB , DE ...
... fore the four straight lines BA , AD , DE , EB are equal to one another , and the parallelogram ADEB is equilateral . [ Ax . 1. ] Likewise all its angles are right angles . For since the straight line AD meets the parallels AB , DE ...
Página 88
Euclides Charles MANSFORD. fore the whole AH is equal to DF and CH . [ Ax . 2. ] But AH is the rectangle contained by AD , DB , for DH is equal to DB ; [ II . 4 , Cor . ] and DF together with CH is the gnomon CMG ; therefore the gnomon ...
Euclides Charles MANSFORD. fore the whole AH is equal to DF and CH . [ Ax . 2. ] But AH is the rectangle contained by AD , DB , for DH is equal to DB ; [ II . 4 , Cor . ] and DF together with CH is the gnomon CMG ; therefore the gnomon ...
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
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 CBA axioms base BC BC is equal 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 Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION 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