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
A plane rectilineal angle is the inclination of two st.aight lines to one another , which meet together , but are not ... Thus the angle which is contained by the straight lines AB , CB , is named the angle ABC , or CB4 ; that which is ...
A plane rectilineal angle is the inclination of two st.aight lines to one another , which meet together , but are not ... Thus the angle which is contained by the straight lines AB , CB , is named the angle ABC , or CB4 ; that which is ...
Σελίδα 7
the straight lines CA , CB , to the points 4 , B ; ABC shall be an equilateral triangle . D B C 9 Because the point A is the centre of the circle BCD , ( Definition 15. ) 1 . AC is equal to AB ; and because the point B is the centre of ...
the straight lines CA , CB , to the points 4 , B ; ABC shall be an equilateral triangle . D B C 9 Because the point A is the centre of the circle BCD , ( Definition 15. ) 1 . AC is equal to AB ; and because the point B is the centre of ...
Σελίδα 9
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
Σελίδα 10
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 .
Σελίδα 11
which are the angles at the base of the triangle ABC . And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore the angles at the base , & c .
which are the angles at the base of the triangle ABC . And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore the angles at the base , & c .
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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 |