The geometry of the three first books of Euclid, by direct proof from definitions alone, by H. Wedgwood1856 |
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Side 78
... . Let A B C ( Fig . 36 ) be a right angled triangle having the right angle BAC ; the square described on the side B C is equal to the squares described upon BA , A C. Let B DEC be the square described on BC ; 78 PROPOSITIONS .
... . Let A B C ( Fig . 36 ) be a right angled triangle having the right angle BAC ; the square described on the side B C is equal to the squares described upon BA , A C. Let B DEC be the square described on BC ; 78 PROPOSITIONS .
Side 79
Euclides Hensleigh Wedgwood. Let B DEC be the square described on BC ; GB , HC the squares on the sides B A , A C ; the line A L parallel to B D or C E. Join FC , B K. Then because each of the angles BA C , B A G is a right angle A G ...
Euclides Hensleigh Wedgwood. Let B DEC be the square described on BC ; GB , HC the squares on the sides B A , A C ; the line A L parallel to B D or C E. Join FC , B K. Then because each of the angles BA C , B A G is a right angle A G ...
Side 80
... square described on B C is equal to the sum of the squares on AB , A C ; the angle B A C shall be a right angle . Let CAD be a right angle on the other side of CA from AB ; A D equal to A B ; CD a straight line joining C and D. Then ...
... square described on B C is equal to the sum of the squares on AB , A C ; the angle B A C shall be a right angle . Let CAD be a right angle on the other side of CA from AB ; A D equal to A B ; CD a straight line joining C and D. Then ...
Side 81
... B C ( Fig . 38 ) be two straight lines whereof B C is divided into parts by the points D , E , etc. The rectangle ... square of the whole line is equal to the sum of the rectangles contained by the whole line and each of the parts . Cor ...
... B C ( Fig . 38 ) be two straight lines whereof B C is divided into parts by the points D , E , etc. The rectangle ... square of the whole line is equal to the sum of the rectangles contained by the whole line and each of the parts . Cor ...
Side 83
... squares CK , H F , and the rectangles A G , GE ; wherefore the whole square A E is equal to the squares of A C and B C and twice the rectangle A C , B C. Cor . From the demonstration it is manifest that the rectangles about the diameter of ...
... squares CK , H F , and the rectangles A G , GE ; wherefore the whole square A E is equal to the squares of A C and B C and twice the rectangle A C , B C. Cor . From the demonstration it is manifest that the rectangles about the diameter 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...