The school Euclid: comprising the first four books, by A.K. Isbister |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 51
... that is , through which AC passes ; and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are therefore called the complements . Then the complement BK shall be equal to the comple- ment KD .
... that is , through which AC passes ; and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are therefore called the complements . Then the complement BK shall be equal to the comple- ment KD .
Σελίδα 84
If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre , it shall cut it at right angles ; and conversely , if it cut it at right angles , it shall bisect it .
If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre , it shall cut it at right angles ; and conversely , if it cut it at right angles , it shall bisect it .
Σελίδα 85
therefore each of the angles AFE , BFE , is a right angle ; wherefore the straight line CD , drawn through the centre , bisecting another AB that does not pass through the centre , cuts the same at right angles .
therefore each of the angles AFE , BFE , is a right angle ; wherefore the straight line CD , drawn through the centre , bisecting another AB that does not pass through the centre , cuts the same at right angles .
Σελίδα 86
DEMONSTRATION Because FE , a straight line through the centre , is assumed to bisect another AC which does not pass through the centre , therefore it must cut it at right angles ; ( III . 3 ) wherefore FEA must be a right angle .
DEMONSTRATION Because FE , a straight line through the centre , is assumed to bisect another AC which does not pass through the centre , therefore it must cut it at right angles ; ( III . 3 ) wherefore FEA must be a right angle .
Σελίδα 88
... of any others , that which is nearer to the line which passes through the centre is always greater than one more remote ; and from the same point there can be drawn only two straight lines to the circumference that are equal to each ...
... of any others , that which is nearer to the line which passes through the centre is always greater than one more remote ; and from the same point there can be drawn only two straight lines to the circumference that are equal to each ...
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The School Euclid: Comprising the First Four Books, by A.K. Isbister Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The School Euclid: Comprising the First Four Books, by A.K. Isbister Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD angle ABC angle BAC angle BCD angle equal assumed base base BC BC is equal bisect centre circle ABC circumference coincide common constr CONSTRUCTION DEMONSTRATION describe diameter distance divided double draw Edition equal to AC equilateral and equiangular exterior angle extremity fall figure four given circle given straight line greater half impossible inscribed join less Let ABC likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular produced proved Q. E. D. PROP reason rectangle contained References-Prop remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC THEOREM third touches the circle triangle ABC twice the rectangle wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 141 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 35 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 71 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle...
Σελίδα 33 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 61 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Σελίδα 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 27 - ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.
Σελίδα 77 - An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment.
Σελίδα 15 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Πληροφορίες βιβλιογραφίας
| Τίτλος | The school Euclid: comprising the first four books, by A.K. Isbister |
| Συγγραφέας | Euclides |
| Επιμελητής | Alexander Kennedy Isbister |
| Εκδόθηκε | 1862 |
| Πρωτότυπο από | Πανεπιστήμιο Οξφόρδης |
| Ψηφιοποιήθηκε στις | 18 Απρ. 2006 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |