The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Seite 7
... motion commences , as well as the position attained at any moment , will both be single points , while the track of motion will be a mathematical line . Thus the position of a point is determined by the nature of the line by which it is ...
... motion commences , as well as the position attained at any moment , will both be single points , while the track of motion will be a mathematical line . Thus the position of a point is determined by the nature of the line by which it is ...
Seite 8
... motion ) are : first , the longitudinal extent of the track , which keeps continually increasing from the com- mencement of the motion ; and secondly , the direction of the motion at any given instant , a character admitting of ...
... motion ) are : first , the longitudinal extent of the track , which keeps continually increasing from the com- mencement of the motion ; and secondly , the direction of the motion at any given instant , a character admitting of ...
Seite 9
... motion is designated by the term op- position . In other words , an object which has moved through a certain distance in a given direc- tion will be brought back , by the same extent of motion in the opposite direction , to the position ...
... motion is designated by the term op- position . In other words , an object which has moved through a certain distance in a given direc- tion will be brought back , by the same extent of motion in the opposite direction , to the position ...
Seite 10
... motion in the former direction , either positively or negatively considered . directions thus related , each of those in which freedom of motion is left along the surface , is said to be transverse to the direction in which all motion ...
... motion in the former direction , either positively or negatively considered . directions thus related , each of those in which freedom of motion is left along the surface , is said to be transverse to the direction in which all motion ...
Seite 11
... motion in two transverse directions essentially constitutes motion in a third direction , conceived as intermediate be- tween the former two . The cognizance of opposi- tion to action , implies a consciousness of ability to perform the ...
... motion in two transverse directions essentially constitutes motion in a third direction , conceived as intermediate be- tween the former two . The cognizance of opposi- tion to action , implies a consciousness of ability to perform the ...
Andere Ausgaben - Alle anzeigen
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
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
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...