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 3
“ A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . ” XX . Rectilineal figures are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
“ A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . ” XX . Rectilineal figures are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
Σελίδα 15
If it be possible , let the two straight lines ABC , ABD , have the segment AB common to both of them . D А B с From the point B draw BE at right angles to AB ; and becanse ABC is a straight line , ( Def . 10. ) 1 .
If it be possible , let the two straight lines ABC , ABD , have the segment AB common to both of them . D А B с From the point B draw BE at right angles to AB ; and becanse ABC is a straight line , ( Def . 10. ) 1 .
Σελίδα 65
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . ” VIII . An angle in a segment ...
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . ” VIII . An angle in a segment ...
Σελίδα 84
Let ABCD be a circle , and BAD , BED , angles in the same segment BAED : the angles BAD , BED , are equal to one another . E B C First , let the segment BAED be greater than a semicircle . Take ( III . 1. ) F the centre of the circle ...
Let ABCD be a circle , and BAD , BED , angles in the same segment BAED : the angles BAD , BED , are equal to one another . E B C First , let the segment BAED be greater than a semicircle . Take ( III . 1. ) F the centre of the circle ...
Σελίδα 85
Wherefore the angles in the same segment , & c . Q.E.D. PROP . XXII . -THEOREM . The opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the ...
Wherefore the angles in the same segment , & c . Q.E.D. PROP . XXII . -THEOREM . The opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the ...
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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 |