The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Σελίδα
... propositions which are simply copied out without any material alteration in the proof . If there be no important fallacy in the reason- ing of the following pages , the premises adopted in our system are not merely an improvement on ...
... propositions which are simply copied out without any material alteration in the proof . If there be no important fallacy in the reason- ing of the following pages , the premises adopted in our system are not merely an improvement on ...
Σελίδα 3
... proposition ought to carry conviction the face of it irresistible to all who rightly un- rstand the terms of the proposition , and this n only be the case when the correct conception the subject ( as in definitions ) involves the re ...
... proposition ought to carry conviction the face of it irresistible to all who rightly un- rstand the terms of the proposition , and this n only be the case when the correct conception the subject ( as in definitions ) involves the re ...
Σελίδα 4
Euclides Hensleigh Wedgwood. cognition of the features constituting the predicate of the proposition . To perceive the necessary truth of the proposition , that " if two straight lines meeting a third , make the two internal angles less ...
Euclides Hensleigh Wedgwood. cognition of the features constituting the predicate of the proposition . To perceive the necessary truth of the proposition , that " if two straight lines meeting a third , make the two internal angles less ...
Σελίδα 5
Euclides Hensleigh Wedgwood. points ; and as a proposition so manifestly identical can lead to no real advance in reasoning , the defi- nition is never afterwards referred to , and forms no part of the real premises of the system . The ...
Euclides Hensleigh Wedgwood. points ; and as a proposition so manifestly identical can lead to no real advance in reasoning , the defi- nition is never afterwards referred to , and forms no part of the real premises of the system . The ...
Σελίδα
... propositions which are simply copied out without any material alteration in the proof . If there be no important fallacy in the reason- ing of the following pages , the premises adopted in our system are not merely an improvement on ...
... propositions which are simply copied out without any material alteration in the proof . If there be no important fallacy in the reason- ing of the following pages , the premises adopted in our system are not merely an improvement on ...
Άλλες εκδόσεις - Προβολή όλων
The Geometry of the Three First Books of Euclid, by Direct Proof from ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2012 |
The Geometry of the Three First Books of Euclid, by Direct Proof from ... Euclid,Hensleigh Wedgwood Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
The Geometry of the Three First Books of Euclid, by Direct Proof From ... Euclid,Hensleigh Wedgwood Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D angle A B C angle ABC angle B A C angle BAC AUGUSTUS DE MORGAN axiom of Euclid B C is equal base B C bisected centre Chap coincide conception cuts the circle D E F definition diameter DIONYSIUS LARDNER Electric Telegraph equal to twice ex absurdo exterior angle F. W. NEWMAN Fcap geometry Greek less London magnitude motion opposite angles parallel straight lines parallelogram perpendicular plane surface position price 5d Professor Prop proportion proposition rectangle A C rectangle A D rectangle contained relation right angles segment sides A B squares of A C straight line joining tion touching the circle track transverse triangle A B C twice the rectangle University College Vols wherefore wholly
Δημοφιλή αποσπάσματα
Σελίδα 62 - 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 half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Σελίδα 64 - IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 98 - Museum of Science and Art. THE MUSEUM OF SCIENCE AND ART. Edited by DIONYSIUS LARDNER, DCL, formerly Professor of Natural Philosophy and Astronomy in University College, London. With upwards of 1 200 Engravings on Wood.
Σελίδα 80 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 25 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 78 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.
Σελίδα 97 - This is quite a novelty in chronological literature. It is an universal almanac — universal, that is, as respects time, past, present, and future. The main object of it is, as the compiler states, to supply the place of an old almanac, which is never at hand when wanted ; of the older almanac, which never was at hand ; and of the universal almanac in every shape IA more useful chronological handbook could scarcely be conceived.
Σελίδα 24 - 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 together equal to two right angles.
Σελίδα 26 - If two triangles have two sides of the one equal to two sides of the...