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 85
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 circle ABCD ; any two of its opposite angles are together equal to two right ...
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 circle ABCD ; any two of its opposite angles are together equal to two right ...
Σελίδα 101
I. A rectilineal figure is said to be inscribed in another rectilineal figure , when all the angular points of the inscribed figure are upon the sides of the figure upon which it is inscribed , each upon each . K II .
I. A rectilineal figure is said to be inscribed in another rectilineal figure , when all the angular points of the inscribed figure are upon the sides of the figure upon which it is inscribed , each upon each . K II .
Σελίδα 102
V. In like manner , a circle is said to be inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the ...
V. In like manner , a circle is said to be inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the ...
Σελίδα 103
In a given circle to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( III .
In a given circle to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( III .
Σελίδα 104
To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . Bisect ( I. 9. ) the angles ABC , BCA , by the straight lines BD , CD , meeting one another in the point D ...
To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . Bisect ( I. 9. ) the angles ABC , BCA , by the straight lines BD , CD , meeting one another in the point D ...
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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 |