A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 17
... Parallelogram is a quadrilateral which has its opposite sides parallel . A Rectangle is a right angled parallelogram . A Trapezium is a quadrilateral which has two of its sides parallel . POSTULATES . 1. Let it be granted that a ...
... Parallelogram is a quadrilateral which has its opposite sides parallel . A Rectangle is a right angled parallelogram . A Trapezium is a quadrilateral which has two of its sides parallel . POSTULATES . 1. Let it be granted that a ...
Página 56
... parallelogram will cut off equal parts from its sides . PROPOSITION 30. THEOREM . Straight lines which are parallel to the same straight line are parallel to each other . 1 . Let AB , CD be each of them parallel to EF : AB shall be ...
... parallelogram will cut off equal parts from its sides . PROPOSITION 30. THEOREM . Straight lines which are parallel to the same straight line are parallel to each other . 1 . Let AB , CD be each of them parallel to EF : AB shall be ...
Página 62
... the opposite sides of a quadrilateral figure be equal to one another it is a parallelogram . 3. The diagonals of a parallelogram bisect each other . PROPOSITION 35. THEOREM . Parallelograms on the same base , 62 EUCLID'S ELEMENTS .
... the opposite sides of a quadrilateral figure be equal to one another it is a parallelogram . 3. The diagonals of a parallelogram bisect each other . PROPOSITION 35. THEOREM . Parallelograms on the same base , 62 EUCLID'S ELEMENTS .
Página 63
... parallelograms ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the parallelogram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF ♬ 3a . of the parallelograms ABCD , DBCF , opposite to ...
... parallelograms ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the parallelogram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF ♬ 3a . of the parallelograms ABCD , DBCF , opposite to ...
Página 64
... parallelogram EBCF . Therefore , parallelograms on the same base , & c . Q.E.D. In the phrase the whole or remainder ... parallelogram . 2. Make a rhombus which shall be equal in area to a given parallelogram . 3. If a square and any ...
... parallelogram EBCF . Therefore , parallelograms on the same base , & c . Q.E.D. In the phrase the whole or remainder ... parallelogram . 2. Make a rhombus which shall be equal in area to a given parallelogram . 3. If a square and any ...
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