The first two books of the Elements of Euclid, with additional figures, notes, explanations, and deductions, by N. Pocock1852 |
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Σελίδα
... greater mistake than this : every one who has any power of understanding has powers enough for this subject , provided he has the power of giving his attention to it . And the student who is really anxious to become acquainted with ...
... greater mistake than this : every one who has any power of understanding has powers enough for this subject , provided he has the power of giving his attention to it . And the student who is really anxious to become acquainted with ...
Σελίδα
... greater part of a proposition without once look- ing at his figure . The careful and elaborate edition of Euclid , pub- lished by Mr. Potts at Cambridge , seven years ago , seems to obviate much of this difficulty , possessing as it ...
... greater part of a proposition without once look- ing at his figure . The careful and elaborate edition of Euclid , pub- lished by Mr. Potts at Cambridge , seven years ago , seems to obviate much of this difficulty , possessing as it ...
Σελίδα
... greater degree of accuracy . He will only add as a further excuse for such minuteness , that he has been often accustomed , in public examinations , to such definitions as the following : A straight line is length without breadth . A ...
... greater degree of accuracy . He will only add as a further excuse for such minuteness , that he has been often accustomed , in public examinations , to such definitions as the following : A straight line is length without breadth . A ...
Σελίδα 3
... greater angle than DEF , A B E F because the inclination of BA to AC is greater than that of DE to EF . This may be seen by placing EF upon AC , so that the point E shall coincide with A. Observe that DE will fall nearer to AC or EF ...
... greater angle than DEF , A B E F because the inclination of BA to AC is greater than that of DE to EF . This may be seen by placing EF upon AC , so that the point E shall coincide with A. Observe that DE will fall nearer to AC or EF ...
Σελίδα 4
... , and from being coincident with CB , gradually to move round till it coincides with AC . The angle DCB , which is at first less than DCA , becomes after some time greater than it , and the increase of the 4 THE ELEMENTS C ...
... , and from being coincident with CB , gradually to move round till it coincides with AC . The angle DCB , which is at first less than DCA , becomes after some time greater than it , and the increase of the 4 THE ELEMENTS C ...
Άλλες εκδόσεις - Προβολή όλων
The First Two Books of the Elements of Euclid, with Additional Figures ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angled triangle angles CBA angles equal Arithmetic base BC BC is equal bisected BOOK bound centre cloth coincide Delectus diameter double English Notes equal to BC equal to twice Eton Eton College Euclid's Elements Exercises exterior angle four right angles Geography given point given rectilineal angle given straight line gnomon greater Greek half a right interior and opposite isosceles JANE MARCET join Let ABC Let the straight Lexicon M.A. New Edition Maps opposite angle parallel to CD parallelogram perpendicular Post 8vo produced Proposition rectangle BC rectangle contained rectilineal figure remaining angle rhombus right angles Schools Shrewsbury School sides BA sides equal square described square of AC THEOR triangle ABC twice the rectangle VALPY Valpy's wherefore xxxi
Δημοφιλή αποσπάσματα
Σελίδα 18 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 67 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 51 - 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 109 - ... 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 ACB, and from the point A let AD be drawn perpendicular to BC produced.
Σελίδα 12 - Mrs. R. Lee's Elements of Natural History ; or, First Principles of Zoology : Comprising the Principles of Classification, interspersed with amusing and instructive Accounts of the most remarkable Animals.
Σελίδα 53 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Σελίδα 76 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Σελίδα 34 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight line with CB.
Σελίδα 11 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 37 - Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles.