Mathematical Questions with Their Solutions: From the "Educational Times"., Volúmenes40-421884 |
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Términos y frases comunes
A₁ a²b² acceleration axes B-point bisects Camb centre chord circumcentre Coll College conic coordinates corresponding cos² cosec curve denote diameter distance drawn Dublin dx dy ellipse equal equation focus given hence HEPPEL hyperbola inscribed integral intersection inversely k₁ latus rectum line joining locus moves nine-point circle orthotomic P₁ P₂ parabola parallel pawn perpendicular piece plane points of contact polar position Prof Professor Wolstenholme prove quadrics quartic quartic surface question r₁ radical axis radii radius respect right angles sides sin² sin³ Solution sphere squares straight line surface tan² tangent TEBAY term theorem triangle ABC Trin Trinity College University of Dublin velocity vertex vertical W. J. C. SHARP whence x₁ y₁
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Página 109 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 110 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Página 1 - A cos. B cos. C, we have sin. A sin. B sin. C _ sin. A sin. B sin. C cos. A cos. B cos.
Página 12 - To construct a triangle, having given the base, the vertical angle, and the bisector of that angle.
Página 115 - Now, the question is, whether, if this story were related to the wild boy caught some years ago in the woods of Hanover, or to a savage without experience, and without instruction, cut off in his infancy from all intercourse with his species, and consequently under no...
Página 115 - Toranius's conduct which we feel, or not. They who maintain the existence of a moral sense ; of innate maxims ; of a natural conscience ; that the love of virtue and hatred of vice are instinctive ; or the perception of right and wrong intuitive, (all which are only different ways of expressing the same opinion,) affirm that he would. They who deny the existence of a moral sense, &c. affirm that he would not. — And, upon this, issue is joined.
Página 15 - The lenses of a common astronomical telescope, whose magnifying power is 16, and length from object-glass to eye-glass 84 inches, are arranged as a microscope to view an object placed f of an inch from the object-glass; find the magnifying power, the least distance of distinct vision being taken to be 8 inches.
Página 106 - To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line : it is required to describe an equilateral triangle upon AB.
Página 114 - X : eg Prudence has for its object the benefit of individuals ; but prudence is a virtue ; therefore, some virtue has for its object the benefit of the individual, is part of Adam Smith's reasoning (Moral Sentiments) against Hutcheson and others, who placed all virtue in benevolence.
Página 75 - C?7 +/))[• > where 4/ is the focal length of the field-glass. Find the magnifying power in this latter case. 14. The lenses of a common astronomical telescope, whose magnifying power is 16, and length from object-glass to eye-glass 8^ inches, are arranged as a microscope to view an object placed...