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 11
Q.E.D. COROLLARY . - Hence every equilateral triangle is also equiangular . PROP . VI . - THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be ...
Q.E.D. COROLLARY . - Hence every equilateral triangle is also equiangular . PROP . VI . - THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be ...
Σελίδα 12
Q.E.D. PROP . VIII . - THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal ...
Q.E.D. PROP . VIII . - THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal ...
Σελίδα 13
Q.E.D. PROP . IX . - PROBLEM . To bisect a given rectilineal angle , that is , to divide it into troo equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3. ) ...
Q.E.D. PROP . IX . - PROBLEM . To bisect a given rectilineal angle , that is , to divide it into troo equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3. ) ...
Σελίδα 17
Q.E.D. PROP . XIV . - THEOREM . If at a point in a straight line , troo other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and ...
Q.E.D. PROP . XIV . - THEOREM . If at a point in a straight line , troo other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and ...
Σελίδα 18
And in like manner it may be demonstrated that no other can be in the same straight line with it but BD , therefore 5 . BD is in the same straight line with CB . Wherefore , if at a point , & c . Q.E.D. PROP . XV . - THEOREM .
And in like manner it may be demonstrated that no other can be in the same straight line with it but BD , therefore 5 . BD is in the same straight line with CB . Wherefore , if at a point , & c . Q.E.D. PROP . XV . - THEOREM .
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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 |