A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 22
... triangle ABC to the triangle DEF , B and the other angles shall be equal each to each , to which the equal sides are opposite , namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . For if the triangle ABC be ...
... triangle ABC to the triangle DEF , B and the other angles shall be equal each to each , to which the equal sides are opposite , namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . For if the triangle ABC be ...
Página 23
... triangle ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one coincide with the other angles of the other , and are equal to them , namely , the angle ABC to the angle DEF , and the ...
... triangle ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one coincide with the other angles of the other , and are equal to them , namely , the angle ABC to the angle DEF , and the ...
Página 24
... angle ACF , and that the parts of these , the angles CBG , BCF are also equal ; therefore the remaining angle ABC is equal to the remaining angle ACB , which are the angles at the base of the triangle ABC . [ Ax . 3. ] And it has also ...
... angle ACF , and that the parts of these , the angles CBG , BCF are also equal ; therefore the remaining angle ABC is equal to the remaining angle ACB , which are the angles at the base of the triangle ABC . [ Ax . 3. ] And it has also ...
Página 25
... angles ABC and ACB are equal to one another . 2. The opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also which ...
... angles ABC and ACB are equal to one another . 2. The opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also which ...
Página 28
... angle BAC shall be equal to the angle EDF . B For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the point B may be on E , and the straight line BC on the straight line EF , the point C will also coincide with the ...
... angle BAC shall be equal to the angle EDF . B For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the point B may be on E , and the straight line BC on the straight line EF , the point C will also coincide with 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