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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Αποτελέσματα 6 - 10 από τα 42.
Σελίδα 165
... a side of the ciccumscribed , as the perpendicular from G upon AB , to the perpendicular from G upon KL , that is to the radius of the , circle ; therefore also , because magnitudes have the same ratio with their equimultiples ( 15.
... a side of the ciccumscribed , as the perpendicular from G upon AB , to the perpendicular from G upon KL , that is to the radius of the , circle ; therefore also , because magnitudes have the same ratio with their equimultiples ( 15.
Σελίδα 169
... of which DA is the radius : therefore , as the radius of any circle to the semicircuma ference , or as the diameter to the whole circumference , so is the square of the radius to the area of the circle . Cor . 2.
... of which DA is the radius : therefore , as the radius of any circle to the semicircuma ference , or as the diameter to the whole circumference , so is the square of the radius to the area of the circle . Cor . 2.
Σελίδα 173
The perpendicular drawn from the centre of a circle on the chord of any arch is a mean proportional between half the radius and the line made up of the radius and the perpendicular drawn from the centre on the chord of double that arch ...
The perpendicular drawn from the centre of a circle on the chord of any arch is a mean proportional between half the radius and the line made up of the radius and the perpendicular drawn from the centre on the chord of double that arch ...
Σελίδα 174
that is , between the diameter and the excess of the radius above the perpendicular , on the chord of twice the arch DB . Therefore , & c . Q. E. D. PROP . IX . THEOR . * The circumference of a circle exceeds three times the diameter ...
that is , between the diameter and the excess of the radius above the perpendicular , on the chord of twice the arch DB . Therefore , & c . Q. E. D. PROP . IX . THEOR . * The circumference of a circle exceeds three times the diameter ...
Σελίδα 175
Sup ) CG is a mean proportional between AH , half the radius , and the line AF . Now because the sides BD , DC , of the triangle BDC are equal , the angles DCF , DBF are also equal ; and the angles DFC , DFB being equal , and the side ...
Sup ) CG is a mean proportional between AH , half the radius , and the line AF . Now because the sides BD , DC , of the triangle BDC are equal , the angles DCF , DBF are also equal ; and the angles DFC , DFB being equal , and the side ...
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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 |