A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 22
... 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 applied to the ...
... 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 applied to the ...
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 FAG common to the two tri- angles AFC , AGB ; there- fore the base FC is equal D to the base GB , and the ... ABC is equal to the remaining angle ACB , which are the angles at the base of the triangle ABC . [ Ax . 3. ] And it has ...
... angle FAG common to the two tri- angles AFC , AGB ; there- fore the base FC is equal D to the base GB , and the ... ABC is equal to the remaining angle ACB , which are the angles at the base of the triangle ABC . [ Ax . 3. ] And it has ...
Página 25
... angle GCB , which are the angles on the other side of the base . Therefore ... ABC and ACB are equal to one another . 2. The opposite angles of a rhombus ... ABC be a triangle , having the angle ABC equal to the angle ACB . The side AC ...
... angle GCB , which are the angles on the other side of the base . Therefore ... ABC and ACB are equal to one another . 2. The opposite angles of a rhombus ... ABC be a triangle , having the angle ABC equal to the angle ACB . The side AC ...
Página 28
... angle BAC shall be equal to the angle EDF . A 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 . A 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 ...
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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