A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Resultados 1-5 de 13
Página 29
... fall on opposite A D B sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE , and GC the position of DF . Join AG . Then the angle BAG = BGA because BA = BG , and the angle GAC = AGC ...
... fall on opposite A D B sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE , and GC the position of DF . Join AG . Then the angle BAG = BGA because BA = BG , and the angle GAC = AGC ...
Página 30
... fall either , 1. Within the angle BAC , as in the prop . 2. On the point 4 ; in which case the construction would fail ; or , 3. Outside the angle BAC ; when the line FA would have to be produced in order to bisect the angle , and the ...
... fall either , 1. Within the angle BAC , as in the prop . 2. On the point 4 ; in which case the construction would fail ; or , 3. Outside the angle BAC ; when the line FA would have to be produced in order to bisect the angle , and the ...
Página 44
... fall beyond it . In either case one circle would lie wholly within the other , and there would be no point of intersection . In like manner the construction would fail if A and C were not greater 44 EUCLID'S ELEMENTS .
... fall beyond it . In either case one circle would lie wholly within the other , and there would be no point of intersection . In like manner the construction would fail if A and C were not greater 44 EUCLID'S ELEMENTS .
Página 47
... fall above EF , otherwise there would be three cases to consider , viz .: 1. When G falls above EF , as in the proposition . 2. When G falls on EF , produced as fig . 1. 3. When G falls below EF , as in fig . 2 . 2 The triangle EDG ...
... fall above EF , otherwise there would be three cases to consider , viz .: 1. When G falls above EF , as in the proposition . 2. When G falls on EF , produced as fig . 1. 3. When G falls below EF , as in fig . 2 . 2 The triangle EDG ...
Página 52
... falling on two other straight lines , make the alternate angles equal to one another , the two straight lines shall be parallel to one another . Let the straight line EF , which falls on the two A 1. straight lines AB , CD , make the ...
... falling on two other straight lines , make the alternate angles equal to one another , the two straight lines shall be parallel to one another . Let the straight line EF , which falls on the two A 1. straight lines AB , CD , make the ...
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