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 34
Let the parallelograms ABCD , EBCF , be upon the same base BC , and between the same parallels AF , BC ; the parallelogram ABCD shall be equal to the parallelogram EBCF . D A E DF B B с B C If the sides AD , DF , of the parallelograms ...
Let the parallelograms ABCD , EBCF , be upon the same base BC , and between the same parallels AF , BC ; the parallelogram ABCD shall be equal to the parallelogram EBCF . D A E DF B B с B C If the sides AD , DF , of the parallelograms ...
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
EBEH is equal to ABCD , because they are upon the same base BC , and between the same parallels BC , AH . For the like reason 5 . The parallelogram EFGH is equal to the same EBCH . Therefore also 6 . The parallelogram ABCD is equal to ...
EBEH is equal to ABCD , because they are upon the same base BC , and between the same parallels BC , AH . For the like reason 5 . The parallelogram EFGH is equal to the same EBCH . Therefore also 6 . The parallelogram ABCD is equal to ...
Página 38
XLI . - THEOREM . If a parallelogram and a triangle be upon the same base , and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon 38 EUCLID'S ELEMENTS .
XLI . - THEOREM . If a parallelogram and a triangle be upon the same base , and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon 38 EUCLID'S ELEMENTS .
Página 39
Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE ; the parallelogram ABCD is double of the triangle EBC . T с Join AC . Then ( I. 37. ) 1 . The triangle ABC is equal to ...
Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE ; the parallelogram ABCD is double of the triangle EBC . T с Join AC . Then ( I. 37. ) 1 . The triangle ABC is equal to ...
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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 |