The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Seite 5
... passing our hand over it in a track , of which it is 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 ...
... passing our hand over it in a track , of which it is 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 ...
Seite 5
... passing our hand over it in a track , of which it is 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 ...
... passing our hand over it in a track , of which it is 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 ...
Seite 18
... passing through each successive point in space situate in a certain given direction from a given point . In like manner , the definition of parallel straight lines will be , straight lines lying in the same direction in a system and not ...
... passing through each successive point in space situate in a certain given direction from a given point . In like manner , the definition of parallel straight lines will be , straight lines lying in the same direction in a system and not ...
Seite 20
... passing through all the the points which can be reached from a given point by motion transverse to a given direction , called the normal to the plane . From such a definition it is obvious , that the series of straight lines diverging ...
... passing through all the the points which can be reached from a given point by motion transverse to a given direction , called the normal to the plane . From such a definition it is obvious , that the series of straight lines diverging ...
Seite 27
... passing the finger over the entire surface ; in which operation the size of the bodily organ must evidently be taken into account , inasmuch as the motion of which a ma- thematical point is capable without going twice over the same ...
... passing the finger over the entire surface ; in which operation the size of the bodily organ must evidently be taken into account , inasmuch as the motion of which a ma- thematical point is capable without going twice over the same ...
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The Geometry of the Three First Books of Euclid, by Direct Proof from ... Euclid Keine Leseprobe verfügbar - 2012 |
The Geometry of the Three First Books of Euclid, by Direct Proof from ... Euclid,Hensleigh Wedgwood Keine Leseprobe verfügbar - 2015 |
The Geometry of the Three First Books of Euclid, by Direct Proof From ... Euclid,Hensleigh Wedgwood Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 26 - If two triangles have two sides of the one equal to two sides of the...