The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Σελίδα
... expression ; or , in other words , that the squaring of the circle should be a possible problem . In geo- metry , on the other hand , there is positive à priori b argument for the possibility of attaining the end which reformers.
... expression ; or , in other words , that the squaring of the circle should be a possible problem . In geo- metry , on the other hand , there is positive à priori b argument for the possibility of attaining the end which reformers.
Σελίδα
... possible relation of the geometrical system . The question then arises , Have any of the proposed amendments been based on the ultimate analysis of all the species of geo- metrical figure ? —and specially , Has the true ana- lysis of a ...
... possible relation of the geometrical system . The question then arises , Have any of the proposed amendments been based on the ultimate analysis of all the species of geo- metrical figure ? —and specially , Has the true ana- lysis of a ...
Σελίδα
... possible to express in words the principle of arrangement or relation between its ultimate parts , characteristic of a plane as well as of every other species of surface . It was by such considerations that the author was led to dis ...
... possible to express in words the principle of arrangement or relation between its ultimate parts , characteristic of a plane as well as of every other species of surface . It was by such considerations that the author was led to dis ...
Σελίδα 5
... possible , that no portion may consist of a single straight line . The geometrical figure is in neither case defined by the relations of its own essential elements , but by conditions involving a reference to some external system , the ...
... possible , that no portion may consist of a single straight line . The geometrical figure is in neither case defined by the relations of its own essential elements , but by conditions involving a reference to some external system , the ...
Σελίδα 9
... possible the equivalence , in the determination of position , of different combinations of those elements . The discrimination of the infinite variety of directions in which motion is possible from any point in space , is based on the ...
... possible the equivalence , in the determination of position , of different combinations of those elements . The discrimination of the infinite variety of directions in which motion is possible from any point in space , is based on the ...
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
analysis attained Author base Book centre Chap circle circumference cloth coincide common conception construction cutting definition diameter direction distance divided double drawn Edition elements English equal Euclid expressed fall figure fundamental geometry given greater Greek Illustrations included Join known less lettered London magnitude meet motion moving nature necessary object opposite originally parallel parallelogram passing perpendicular plane position possible Principles produced Professor proof Prop proportion proposition reason rectangle contained relation remaining respectively right angles School segment side space square squares of A C straight line student surface third tion touch track transverse triangle A B C twice the rectangle University College Vols Volume wherefore whole 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...