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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To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( Postulate 3. ) ...
To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( Postulate 3. ) ...
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Which was to be done . PROP . III . - PROBLEM , From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the greater .
Which was to be done . PROP . III . - PROBLEM , From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the greater .
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Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , cach to each , viz . ... A D > B с E For if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB ...
Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , cach to each , viz . ... A D > B с E For if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB ...
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Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be produced to D and E , the angle ABC shall be equal to the angle ACB , and the apgle CBD to the angle BCE .
Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be produced to D and E , the angle ABC shall be equal to the angle ACB , and the apgle CBD to the angle BCE .
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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 |