The Lady's and Gentleman's Diary for the Year of Our Lord 1842Company of Stationers, 1842 - 96 pàgines |
Frases i termes més freqüents
a²M Aberford angles Answered bisect breaks Tw centres chord circle touching circles DEF circles mutually touching circles of contact convergent cos² Cropwell Butler described Diarian Diary DUNELMENSIS eclipse ends Sun East equal equations F sets fame FENWICK Gentleman's Diary Haggate Hence Hexham Hooley Bridge Houghton-le-Spring inscribed intersection join Last Quarter M'NAMARA MAFFETT Messrs moment of inertia Moon First Quarter morn Morpeth Newcastle-upon-Tyne North Shields o'er OYNS pentagonal numbers perpendicular PETER ELLIOTT plane points of contact Prize Enigma Prop Quarter Full Moon QUEST r₁ r₂ radius REBUS rises F Semidiameter semiperimeter shaft sides similarly sin² sphere Stanton-on-the-Wolds SUNDAYS tan² theorem Thomas triangle ABC Trinity values Vauxhall WEDDLE whole number WILLIAM GODWARD Wolsingham y₁ Ρι
Passatges populars
Pàgina 71 - ... the points of intersection of the three pairs of opposite sides, of a hexagon inscribed in a conic, lie in one straight line.
Pàgina 71 - D/) which is the required formula. The solutions of Nos. 6-20 follow lines made familiar by Ex. LXVI. In No. 6 the sum of the squares of the distances of the centres of the beads from the centre of the end one is (O2 + I2 + 22...
Pàgina 49 - Let AB, DE be the two given chords : draw AK parallel to DE, and AH making with AK an angle equal to the supplement of that in the segment ACB and meeting DE produced in H ; take AK so that HD . AK = the given square; join BK, on which describe the segment of a circle containing an angle equal to that in the segment ACB, and .cutting DE in G. Draw BGC and AC : then ACB is the required triangle. Join KG, and let F be the intersection of AC, DE. Since /.ACB = /. KGB, KG is parallel to AC ; but AK is...
Pàgina 93 - ... determining the mass of the Moon. (3) On Fresnel's theory of double refraction, as far as to the determination of the propagation of plane waves ; and on the extent to which it is a rigorous dynamical theory. January 30, 1860. 1. If two circles intersect at right angles in two given points, prove that the sum of the squares of the reciprocals of the radii of the circles will be constant. 2. State and prove the relation connecting the numbers of solid angles, edges, and plane faces of any polyhedron....
Pàgina 66 - Northumbrian Mirror*' has commenced with the present year, 1841. No. I. was published on January 1, and No. II. on July 1, last. The general subjects, queries, and mathematical papers and questions, are of a very interesting character ; and we cordially recommend the work to the attention of our readers as a highly meritorious and useful auxiliary to the Diary. Published by Messrs. Bruce, Newcastle-upon-Tyne ; and Whittaker and Co., London. We have likewise the pleasure of announcing to our readers...
Pàgina 53 - An uniform, rod of a given length (I) hangs horizontally by two equal vertical strings attached to its ends. If it be twisted horizontally through a very small angle so that its centre of gravity remains in the same vertical line, required the time of an oscillation. XIV. QUEST.
Pàgina 1 - THE LADY'S AND GENTLEMAN'S DIARY, FOR THE YEAR OF OUR LORD 1842, Being the Second after Bissextile...
Pàgina 71 - ... concentric spiral lines formed upon the intrado and extrado ; and if the lines which join the -corresponding points of intersection of the two spirals be produced, they will all meet the vertical radius, produced, if necessary, in the same point. Is this true? if not, it is required to give formula: for the calculation of the points of intersection with the spiral lines. IX. QUEST. (1697.)* If lines be drawn from the angles of a plane triangle to a point within it, so...