Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Σελίδα 158
If from any angle of a triangle a perpendicular be drawn to the opposite side or base ; the rectangle contained by the sun and difference of the other two sides , is equal to the rectangle contained by the sum and difference of the ...
If from any angle of a triangle a perpendicular be drawn to the opposite side or base ; the rectangle contained by the sun and difference of the other two sides , is equal to the rectangle contained by the sum and difference of the ...
Σελίδα 165
... similar polygon described about it , so that the difference between them shall be less than the square of D. In the circle ABC apply the straight line AE equal to D , and let AB be a fourth part of the circumference of the circle .
... similar polygon described about it , so that the difference between them shall be less than the square of D. In the circle ABC apply the straight line AE equal to D , and let AB be a fourth part of the circumference of the circle .
Σελίδα 167
1 > has been demonstrated , that the square of AC is to the square of AF as the polygon M to the difference of the polygons ; therefore , since the square of AC is greater than M , the square of AF is greater than the difference of the ...
1 > has been demonstrated , that the square of AC is to the square of AF as the polygon M to the difference of the polygons ; therefore , since the square of AC is greater than M , the square of AF is greater than the difference of the ...
Σελίδα 169
The difference , therefore , between the perimeter of the polygon and the circumference of the circle is less than the given lide No. CoR . 3. Hence also , a polygon may be inscribed in a circle , such that the excess of the ...
The difference , therefore , between the perimeter of the polygon and the circumference of the circle is less than the given lide No. CoR . 3. Hence also , a polygon may be inscribed in a circle , such that the excess of the ...
Σελίδα 173
... drawn from the centre on the chord of double that arch : And the chord of the arch is a mean proportional between the diameter and a line which is the difference between the radius and the foresaid perpendicular from the centre .
... drawn from the centre on the chord of double that arch : And the chord of the arch is a mean proportional between the diameter and a line which is the difference between the radius and the foresaid perpendicular from the centre .
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Συγγραφέας | John Playfair |
| Εκδότης | E. Duyckinck, and George Long, 1824 |
| Πρωτότυπο από | Πανεπιστήμιο της Ιντιάνα |
| Ψηφιοποιήθηκε στις | 15 Ιαν. 2009 |
| Μέγεθος | 333 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |