Elements of Euclid [selections from book 1-6] adapted to modern methods in geometry, by J. Bryce and D. Munn |
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Σελίδα 86
... together with the square on half the line bisected , is equal to the square on the straight line made up of the half and the part produced . Let the straight line AB be bisected in C and produced to D , the rectangle contained by ...
... together with the square on half the line bisected , is equal to the square on the straight line made up of the half and the part produced . Let the straight line AB be bisected in C and produced to D , the rectangle contained by ...
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Elements of Euclid [Selections from Book 1-6] Adapted to Modern Methods in ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Elements of Euclid [selections from Book 1-6] Adapted to Modern Methods in ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude base bisected BOOK called centre chord circle circumference cloth coincide common compounded Const construction conv Conversely definition describe diagonal diameter difference divided double draw equal extremities Fcap figure follows formed four fourth GEOGRAPHY geometrical given circle given line given point greater half hence inscribed intersecting Join less Let ABC magnitudes manner mean measure meet method middle point multiple opposite sides parallel parallelogram pass perpendicular polygon problem produced PROP proportional Proposition radius ratio rectangle contained regular remaining required to prove respectively right angles schol segments shew shewn sides similar Similarly square straight line taken tangent THEOREM third touch triangle triangle ABC units vertical whole
Δημοφιλή αποσπάσματα
Σελίδα 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 77 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 50 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle.
Σελίδα 87 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Σελίδα 30 - Any two sides of a triangle are together greater than the third side.
Σελίδα 206 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Σελίδα 89 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Σελίδα 98 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Euclid [selections from book 1-6] adapted to modern methods in geometry, by J. Bryce and D. Munn Collins' sch. series |
| Συγγραφέας | Euclides |
| Επιμελητής | James Bryce |
| Εκδόθηκε | 1874 |
| Πρωτότυπο από | Πανεπιστήμιο Οξφόρδης |
| Ψηφιοποιήθηκε στις | 7 Σεπτ. 2006 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |