The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Σελίδα 3
... object templation without the distinct recognition e analysis enounced in the definition ; and if remises in our systems of geometry had been osed exclusively of propositions owing their rity to such a principle , the necessity of the ...
... object templation without the distinct recognition e analysis enounced in the definition ; and if remises in our systems of geometry had been osed exclusively of propositions owing their rity to such a principle , the necessity of the ...
Σελίδα 6
... object of thought , in order to supply us with the system of straight lines by coincidence with which the planeness of the same surface is to be established under this definition . The analysis , then , of what is fundamentally meant by ...
... object of thought , in order to supply us with the system of straight lines by coincidence with which the planeness of the same surface is to be established under this definition . The analysis , then , of what is fundamentally meant by ...
Σελίδα 7
... object is given in the knowledge of a track by which it may be reached from a known station . When the organ employed in reaching the object is conceived as an individual point , the station from whence the motion commences , as well as ...
... object is given in the knowledge of a track by which it may be reached from a known station . When the organ employed in reaching the object is conceived as an individual point , the station from whence the motion commences , as well as ...
Σελίδα 9
... 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 originally occupied : and the fundamental charac- teristic of the ...
... 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 originally occupied : and the fundamental charac- teristic of the ...
Σελίδα 2
... object can earn a title to the designation in ques- tion . If I use the word triangle to signify a rectilineal figure of three sides , I can only recog- nise a particular figure as a triangle by the appre- hension of the three straight ...
... object can earn a title to the designation in ques- tion . If I use the word triangle to signify a rectilineal figure of three sides , I can only recog- nise a particular figure as a triangle by the appre- hension of the three straight ...
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
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
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...