A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página vi
... divided into two equal parts by creasing it down the middle , the crease will represent a straight line . Now such a crease does not belong to either half of the paper , but simply divides one half from the other . Further , although it ...
... divided into two equal parts by creasing it down the middle , the crease will represent a straight line . Now such a crease does not belong to either half of the paper , but simply divides one half from the other . Further , although it ...
Página x
... divided into three parts to be thus distinguished . 1. The particular enunciation . 2. The construction . 3. The demonstration . The demonstration is effected by combining the ele- mentary truths contained in the definitions and axioms ...
... divided into three parts to be thus distinguished . 1. The particular enunciation . 2. The construction . 3. The demonstration . The demonstration is effected by combining the ele- mentary truths contained in the definitions and axioms ...
Página 23
... divided by its diagonal are equal to one another . 2. The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be ...
... divided by its diagonal are equal to one another . 2. The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be ...
Página 31
... divided into two equal parts at the point D. Q.E.F. Ex . The straight line which bisects the vertical angle of an isosceles triangle also bisects the base at right angles . PROPOSITION 11 . PROBLEM . To draw a straight line at right ...
... divided into two equal parts at the point D. Q.E.F. Ex . The straight line which bisects the vertical angle of an isosceles triangle also bisects the base at right angles . PROPOSITION 11 . PROBLEM . To draw a straight line at right ...
Página 66
... in the same point . Ex . The four triangles into which a parallelogram is divided by its diagonals are equal to one another- [ See Ex . 3 to prop . 34. ] PROPOSITION 39. THEOREM . Equal triangles on the same base 66 EUCLID'S ELEMENTS .
... in the same point . Ex . The four triangles into which a parallelogram is divided by its diagonals are equal to one another- [ See Ex . 3 to prop . 34. ] PROPOSITION 39. THEOREM . Equal triangles on the same base 66 EUCLID'S ELEMENTS .
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 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