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 20
Página viii
... prop . 3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a ...
... prop . 3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a ...
Página 26
... Prop . 5 . versely , Equal sided triangles have equal base - angles , conProp . 6. Triangles with equal base - angles have equal sides . From this it will be seen that prop . 6 is the ' converse ' of prop . 5 . " conWhen we deny the ...
... Prop . 5 . versely , Equal sided triangles have equal base - angles , conProp . 6. Triangles with equal base - angles have equal sides . From this it will be seen that prop . 6 is the ' converse ' of prop . 5 . " conWhen we deny the ...
Página 28
... prop . 8 , and as this latter can be proved by other and easier methods , prop . 7 might have been ommitted . It follows from this proposition that the triangle is a rigid figure ; ie . , its sides cannot be forced into any other ...
... prop . 8 , and as this latter can be proved by other and easier methods , prop . 7 might have been ommitted . It follows from this proposition that the triangle is a rigid figure ; ie . , its sides cannot be forced into any other ...
Página 29
... prop . 4. The demonstration of this prop . may be conducted thus : For let the triangle DEF be applied to ABC so that the bases may coincide , and the vertices fall on opposite A D B sides of the base . Let GBC represent the position of ...
... prop . 4. The demonstration of this prop . may be conducted thus : For let the triangle DEF be applied to ABC so that the bases may coincide , and the vertices fall on opposite A D B sides of the base . Let GBC represent the position of ...
Página 30
... prop . 2. On the point 4 ; in which case the construction would fail ; or , 3. Outside the angle BAC ; when the line ... prop . 11 , the reason of which is obvious . Ex . 1. If two isosceles triangles be described on opposite sides of ...
... prop . 2. On the point 4 ; in which case the construction would fail ; or , 3. Outside the angle BAC ; when the line ... prop . 11 , the reason of which is obvious . Ex . 1. If two isosceles triangles be described on opposite sides of ...
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