A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 17
A Parallelogram is a quadrilateral which has its opposite sides parallel . 2. A Rectangle is a right angled parallelogram . 3. A Trapczium is a quadrilateral which has two of its sides parallel . POSTULATES . 1.
A Parallelogram is a quadrilateral which has its opposite sides parallel . 2. A Rectangle is a right angled parallelogram . 3. A Trapczium is a quadrilateral which has two of its sides parallel . POSTULATES . 1.
Página 56
Any straight linc drawn through the middle point of the diagonal of a parallelogram will cut off equal parts from its sides . 1 . 3 . PROPOSITION 30 . THEOREM . Straight lines which are parallel to the same straight line are parallel to ...
Any straight linc drawn through the middle point of the diagonal of a parallelogram will cut off equal parts from its sides . 1 . 3 . PROPOSITION 30 . THEOREM . Straight lines which are parallel to the same straight line are parallel to ...
Página 62
Therefore the opposite sides and angles of parallelograms are equal to one another . ... therefore the triangle ABC is equal to the triangle BCD , ( I. 4. and the diameter BC divides the parallelogram ACDB into two equal parts .
Therefore the opposite sides and angles of parallelograms are equal to one another . ... therefore the triangle ABC is equal to the triangle BCD , ( I. 4. and the diameter BC divides the parallelogram ACDB into two equal parts .
Página 63
Parallelograms on the same base , and between the same parallels , are equal to one another . 1 . Let the parallelograms ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the parallelogram ABCD shall be equal ...
Parallelograms on the same base , and between the same parallels , are equal to one another . 1 . Let the parallelograms ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the parallelogram ABCD shall be equal ...
Página 64
that is , the parallelogram ABCD is equal to the parallelogram EBCF . Therefore , parallelograms on the same base , & c . Q.E.D. In the phrase the whole or remainder , which occurs in the demonstration , the whole refers to the left ...
that is , the parallelogram ABCD is equal to the parallelogram EBCF . Therefore , parallelograms on the same base , & c . Q.E.D. In the phrase the whole or remainder , which occurs in the demonstration , the whole refers to the left ...
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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
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |