The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Seite 6
Euclides Hensleigh Wedgwood. acquainted with parallel lines as a system of cer- tain figure , before we can recognise the fact , that lines in such a position may be prolonged for ever without meeting . In like manner , the form of a ...
Euclides Hensleigh Wedgwood. acquainted with parallel lines as a system of cer- tain figure , before we can recognise the fact , that lines in such a position may be prolonged for ever without meeting . In like manner , the form of a ...
Seite 18
... parallel to the first . A straight line may , accordingly , be defined as a line lying throughout in the same direction , or a line passing through each successive point in space situate in a certain given direction from a given point ...
... parallel to the first . A straight line may , accordingly , be defined as a line lying throughout in the same direction , or a line passing through each successive point in space situate in a certain given direction from a given point ...
Seite 27
... parallel to the base , and all of the same thickness . Rectangles , therefore , of the same height , will be composed of the same number of parallel lines , each equal to the base of the rectangle to which it belongs ; and the magnitude ...
... parallel to the base , and all of the same thickness . Rectangles , therefore , of the same height , will be composed of the same number of parallel lines , each equal to the base of the rectangle to which it belongs ; and the magnitude ...
Seite 34
... PARALLEL STRAIGHT LINES . Parallel straight lines are straight lines lying in the same direction in a system and not forming parts of the same straight line . IX . - PLANE SURFACE . A plane is a 34 DEFINITIONS .
... PARALLEL STRAIGHT LINES . Parallel straight lines are straight lines lying in the same direction in a system and not forming parts of the same straight line . IX . - PLANE SURFACE . A plane is a 34 DEFINITIONS .
Seite 35
... parallel to each other . When the angles are all right angles the paral- lelogram becomes a rectangle ; and when all the sides are equal the figure is a square . XIII . - EQUAL , GREATER , LESS . Magnitudes DEFINITIONS . 2253.
... parallel to each other . When the angles are all right angles the paral- lelogram becomes a rectangle ; and when all the sides are equal the figure is a square . XIII . - EQUAL , GREATER , LESS . Magnitudes DEFINITIONS . 2253.
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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...