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 38
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 .
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 ...
Página 40
The parallelogram FECG is double of the triangle AEC , because they are upon the same base EC , and between the same parallels EC , AG . Therefore ( Ax . 6. ) 4 . The parallelogram FECG is equal to the triangle ABC , and it has one of ...
The parallelogram FECG is double of the triangle AEC , because they are upon the same base EC , and between the same parallels EC , AG . Therefore ( Ax . 6. ) 4 . The parallelogram FECG is equal to the triangle ABC , and it has one of ...
Página 41
To a given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let AB be the given straight line , and the given triangle , and D the given ...
To a given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let AB be the given straight line , and the given triangle , and D the given ...
Página 42
To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a ...
To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a ...
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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 |