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 1 - 5 από τα 35.
Σελίδα 56
From this proposition it is manifest , that the difference of “ the squares of two unequal lines , AC , CD , is equal to the rectangle " contained by their sum and difference , or that AC : -CD2 = ( AC + “ CD ) ( AC - CD ) . ” PROP .
From this proposition it is manifest , that the difference of “ the squares of two unequal lines , AC , CD , is equal to the rectangle " contained by their sum and difference , or that AC : -CD2 = ( AC + “ CD ) ( AC - CD ) . ” PROP .
Σελίδα 58
Hence , the sum of the squares of any two lines is equal se to twice the rectangle contained by the lines together with the square of the difference of the lines . ” PROP . VIII . THEOR . IT 2 > > ܪ > If a straight line be divided into ...
Hence , the sum of the squares of any two lines is equal se to twice the rectangle contained by the lines together with the square of the difference of the lines . ” PROP . VIII . THEOR . IT 2 > > ܪ > If a straight line be divided into ...
Σελίδα 106
... the B arch ABC , being the third part of the whole contains five ; and the arch AB , E which is the fifth part of the whole , contains three ; therefore BC their difference contains two of the same parts : bisect ( 30. 3. ) ...
... the B arch ABC , being the third part of the whole contains five ; and the arch AB , E which is the fifth part of the whole , contains three ; therefore BC their difference contains two of the same parts : bisect ( 30. 3. ) ...
Σελίδα 114
1 from a multiple of a magnitude by any number a multiple of the same magnitude by a less number be taken away , the remainder will be the same multiple of that magnitude that the difference of the numbers is of unity .
1 from a multiple of a magnitude by any number a multiple of the same magnitude by a less number be taken away , the remainder will be the same multiple of that magnitude that the difference of the numbers is of unity .
Σελίδα 123
If four magnitudes be proportionals , the sum of the first two is to their difference as the sum of the other two to their difference . Let A : B :: C : D ; then if A7B , ) A4.B : A - B :: C + D : C - D ; or if ALB A + B : B - A :: C + ...
If four magnitudes be proportionals , the sum of the first two is to their difference as the sum of the other two to their difference . Let A : B :: C : D ; then if A7B , ) A4.B : A - B :: C + D : C - D ; or if ALB A + B : B - A :: C + ...
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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 |