The school Euclid: comprising the first four books, by A.K. Isbister |
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Σελίδα 42
The straight lines which join the extremities of two equal and parallel straight lines towards the same parts , are also themselves equal and parallel . ( References - Prop . I. 4 , 27 , 29. ) Let AB , CD , be two equal and parallel ...
The straight lines which join the extremities of two equal and parallel straight lines towards the same parts , are also themselves equal and parallel . ( References - Prop . I. 4 , 27 , 29. ) Let AB , CD , be two equal and parallel ...
Σελίδα 81
An angle in a segment is the angle contained by two straight lines drawn from any point in the circum- ference of the segment , to the extremities of the straight line which is the base of the segment . IX . An angle is said to insist ...
An angle in a segment is the angle contained by two straight lines drawn from any point in the circum- ference of the segment , to the extremities of the straight line which is the base of the segment . IX . An angle is said to insist ...
Σελίδα 91
... GD is less than KD ; and because MK , DK , are drawn to the point K within the triangle MLD , from M , D , the extremities of its side MD , therefore MK , KD are less than ML , LD ; ( 1. 21 ) but MK is equal to ML ; ( 1. def .
... GD is less than KD ; and because MK , DK , are drawn to the point K within the triangle MLD , from M , D , the extremities of its side MD , therefore MK , KD are less than ML , LD ; ( 1. 21 ) but MK is equal to ML ; ( 1. def .
Σελίδα 100
The straight line which is drawn at right angles to the diameter of a circle , from the extremity of it , falls without the circle ; and no straight line can be drawn from the extremity between that straight line and the circumference ...
The straight line which is drawn at right angles to the diameter of a circle , from the extremity of it , falls without the circle ; and no straight line can be drawn from the extremity between that straight line and the circumference ...
Σελίδα 102
From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle , from the extremity of it , touches the circle ; ( III . def . 2 ) and that it touches it only in one point , because , if it ...
From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle , from the extremity of it , touches the circle ; ( III . def . 2 ) and that it touches it only in one point , because , if it ...
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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 |