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 2
... When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it .
... When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it .
Σελίδα 16
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it ...
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it ...
Σελίδα 60
In obtuse - angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square of the side suðtending the obtuse angle , is greater than the squares of the sides containing the ...
In obtuse - angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square of the side suðtending the obtuse angle , is greater than the squares of the sides containing the ...
Σελίδα 61
the perpendicular AD from the opposite angle : the square of AC opposite to the angle B , is less than the squares of CB , BA , by twice the rectangle CB , BD . B D First , let AD fall within the triangle ABC ; and because the straight ...
the perpendicular AD from the opposite angle : the square of AC opposite to the angle B , is less than the squares of CB , BA , by twice the rectangle CB , BD . B D First , let AD fall within the triangle ABC ; and because the straight ...
Σελίδα 62
Lastly , let the side AC be perpendicular to BC . B с Then BC is the straight line between the perpendicular and the acute angle at B ; and it is manifest that ( I. 47. ) The squares of AB , BC , are equal to the square of AC ...
Lastly , let the side AC be perpendicular to BC . B с Then BC is the straight line between the perpendicular and the acute angle at B ; and it is manifest that ( I. 47. ) The squares of AB , BC , are equal to the square of AC ...
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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 |