The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Página 33
The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them into two equal parts . N.B. - A parallelogram is a four - sided figure , of which the opposite sides are ...
The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them into two equal parts . N.B. - A parallelogram is a four - sided figure , of which the opposite sides are ...
Página 34
The triangle ABC is equal to the triangle BCD , and the diameter BC divides the parallelogram ACDB into two equal parts . Q.E.D. PROP . ... Parallelograms upon the same base and between the same parallels , are equal to one another .
The triangle ABC is equal to the triangle BCD , and the diameter BC divides the parallelogram ACDB into two equal parts . Q.E.D. PROP . ... Parallelograms upon the same base and between the same parallels , are equal to one another .
Página 35
The parallelograms ABCD , DBCF , are equal to one another . But if the sides 4D , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not terminated in the same point ; then , because ABCD is a parallelogram , AD is ...
The parallelograms ABCD , DBCF , are equal to one another . But if the sides 4D , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not terminated in the same point ; then , because ABCD is a parallelogram , AD is ...
Página 36
EBCH is a parallelogram ; and ( I. 35. ) 4 . EBEH is equal to ABCD , because they are ... The parallelogram EFGH is equal to the same EBCH . Therefore also 6 . The parallelogram ABCD is equal to EFGH . Wherefore , parallelograms , & c .
EBCH is a parallelogram ; and ( I. 35. ) 4 . EBEH is equal to ABCD , because they are ... The parallelogram EFGH is equal to the same EBCH . Therefore also 6 . The parallelogram ABCD is equal to EFGH . Wherefore , parallelograms , & c .
Página 37
Each of the figures GBCA , DEFH , is a parallelogram ; and ( I. 36. ) 2 . GBCA , DEFH , are equal to one another , because they are upon equal bases BC , EF , and between the same parallels BF , GH ; and ( I. 34. ) 3 .
Each of the figures GBCA , DEFH , is a parallelogram ; and ( I. 36. ) 2 . GBCA , DEFH , are equal to one another , because they are upon equal bases BC , EF , and between the same parallels BF , GH ; and ( I. 34. ) 3 .
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Términos y frases comunes
AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole
Información bibliográfica
| Título | The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
| Autores | EUCLID., Samuel A. GOOD |
| Edición | 2 |
| Editor | Charles Henry Law, 1854 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 10 Dic. 2013 |
| Largo | 120 páginas |
| Exportar cita | BiBTeX EndNote RefMan |