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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Σελίδα 5
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 .
Σελίδα 6
“ If a straight line meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced ...
“ If a straight line meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced ...
Σελίδα 7
the equilateral_triangle DAB , and produce ( Post . 2. ) the straight lines DĂ , DB to E and F. From the centre B at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the distance DG , describe the ...
the equilateral_triangle DAB , and produce ( Post . 2. ) the straight lines DĂ , DB to E and F. From the centre B at the distance BC , describe ( Post . 3. ) the circle CGH , and from the centre D , at the distance DG , describe the ...
Σελίδα 10
The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...
The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...
Σελίδα 12
4 . The angle BDC is equal to the angle BCD ; but it has been demonstrated to be greater than it , which is impossible . But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore because ...
4 . The angle BDC is equal to the angle BCD ; but it has been demonstrated to be greater than it , which is impossible . But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore because ...
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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
Πληροφορίες βιβλιογραφίας
| Τίτλος | 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 |
| Συγγραφείς | EUCLID., Samuel A. GOOD |
| Έκδοση | 2 |
| Εκδότης | Charles Henry Law, 1854 |
| Πρωτότυπο από | Η Βρετανική βιβλιοθήκη |
| Ψηφιοποιήθηκε στις | 10 Δεκ. 2013 |
| Μέγεθος | 120 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |