The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Resultat 1-5 av 18
Side 41
... cutting each other , are equal to each other . Let the two straight lines A B , CD ( Fig . 4 ) , cut one another in the point E , the angle A E C shall be equal to the angle DE B , and CEB to AE D. The angles A EC and CE B , on one side ...
... cutting each other , are equal to each other . Let the two straight lines A B , CD ( Fig . 4 ) , cut one another in the point E , the angle A E C shall be equal to the angle DE B , and CEB to AE D. The angles A EC and CE B , on one side ...
Side 44
... cutting them , and let A E , C F be straight lines in the direction of the normal to the plane A C , A B. Then , because CD is in same direction with A B , it will be transverse to every direction to which A B is transverse , and ...
... cutting them , and let A E , C F be straight lines in the direction of the normal to the plane A C , A B. Then , because CD is in same direction with A B , it will be transverse to every direction to which A B is transverse , and ...
Side 45
... cutting them ; and , conversely , straight lines in the same plane making equal angles with a straight line cutting them are parallel to each other . Let A B , C D ( Fig . 7 ) be parallel straight lines , ACG a straight line cutting ...
... cutting them ; and , conversely , straight lines in the same plane making equal angles with a straight line cutting them are parallel to each other . Let A B , C D ( Fig . 7 ) be parallel straight lines , ACG a straight line cutting ...
Side 46
... cutting them in B and C respectively ; the angle FBC shall be equal to BCE , and the angles D B C and D C B shall be together equal to two right angles . Because BD and CE are parallel , the angle ACE is equal to the angle A B D , and ...
... cutting them in B and C respectively ; the angle FBC shall be equal to BCE , and the angles D B C and D C B shall be together equal to two right angles . Because BD and CE are parallel , the angle ACE is equal to the angle A B D , and ...
Side 56
... cutting DB in C ; AD another similar line , making angle D A B greater than CAB ; AE falling on DB on the other side of B , making angle BA E equal to BA C. Then A B will be the shortest of all the lines A B , AC , AD , etc .; and of ...
... cutting DB in C ; AD another similar line , making angle D A B greater than CAB ; AE falling on DB on the other side of B , making angle BA E equal to BA C. Then A B will be the shortest of all the lines A B , AC , AD , etc .; and of ...
Andre utgaver - Vis alle
The Geometry of the Three First Books of Euclid, by Direct Proof from ... Euclid Ingen forhåndsvisning tilgjengelig - 2012 |
The Geometry of the Three First Books of Euclid, by Direct Proof from ... Euclid,Hensleigh Wedgwood Ingen forhåndsvisning tilgjengelig - 2015 |
The Geometry of the Three First Books of Euclid, by Direct Proof From ... Euclid,Hensleigh Wedgwood Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 26 - If two triangles have two sides of the one equal to two sides of the...