A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 17
... called a Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site sides parallel . 2 ...
... called a Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site sides parallel . 2 ...
Página 23
... called proof by ' super- position . Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE . Next , that the angle BAC coincides with EDF . Thirdly , that the line AC coincides with ...
... called proof by ' super- position . Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE . Next , that the angle BAC coincides with EDF . Thirdly , that the line AC coincides with ...
Página 26
... called the ' converse ' of the one from which it is thus derived . Propositions 5 and 6 may be thus exhibited . Prop . 5. Equal sided triangles have equal base - angles , con- versely , Prop . 6. Triangles with equal base - angles have ...
... called the ' converse ' of the one from which it is thus derived . Propositions 5 and 6 may be thus exhibited . Prop . 5. Equal sided triangles have equal base - angles , con- versely , Prop . 6. Triangles with equal base - angles have ...
Página 32
... called a right angle [ Def . 10 ] ; therefore each of the angles DCF , ECF is a right angle . Therefore from the given point in the given straight line AB , CF has been drawn at right angles to AB . Q.E.F. If the point C were at the end ...
... called a right angle [ Def . 10 ] ; therefore each of the angles DCF , ECF is a right angle . Therefore from the given point in the given straight line AB , CF has been drawn at right angles to AB . Q.E.F. If the point C were at the end ...
Página 33
... called a right angle , and the straight line which stands on the other is called a perpendicular to it . [ Def . 10. ] Therefore a perpendicular CH has been drawn to the given straight line AB from the given point C without it . Q.E.F. ...
... called a right angle , and the straight line which stands on the other is called a perpendicular to it . [ Def . 10. ] Therefore a perpendicular CH has been drawn to the given straight line AB from the given point C without it . Q.E.F. ...
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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