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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Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point .
Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point .
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If a straight line , falling upon two other straight lines , make the alternate angles equal to one another , these two straight lines shall be parallel , Let the straight line EF , which falls upon the two straight lines AB , CD , make ...
If a straight line , falling upon two other straight lines , make the alternate angles equal to one another , these two straight lines shall be parallel , Let the straight line EF , which falls upon the two straight lines AB , CD , make ...
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AB is parallel to CD . Again , because the angles BGH , GHD , are equal ( Hyp . ) to two right angles , and that AGH , BGH , are also equal ( I. 13. ) to two right angles , 1 . The angles AGH , BGH , are equal to the angles BGH , GHD .
AB is parallel to CD . Again , because the angles BGH , GHD , are equal ( Hyp . ) to two right angles , and that AGH , BGH , are also equal ( I. 13. ) to two right angles , 1 . The angles AGH , BGH , are equal to the angles BGH , GHD .
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The straight lines AB , CD , shall meet , if produced far enough ; but they never meet , since they are parallel by the hypothesis ; therefore 4 . The angle AGH is not unequal to the angle GHD , that is , it is equal to it ; but ( I. 15 ...
The straight lines AB , CD , shall meet , if produced far enough ; but they never meet , since they are parallel by the hypothesis ; therefore 4 . The angle AGH is not unequal to the angle GHD , that is , it is equal to it ; but ( I. 15 ...
Página 31
To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point 4 , parallel to the straight line BC ...
To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point 4 , parallel to the straight line BC ...
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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 |