Geometry, mensuration and the stereometrical tableau: lecture read before the Québec Literary and Historical Society, 20th March, 1872 |
Common terms and phrases
angles apex areas of circles arithmetic means autres Baillairgé bases and middle bases and section body breadth carrés centre cercle chord Circum circumference component compute concave cone conical conoid convex côté cube cubic feet cubic foot cubic inches curve cylinder cylindroid d'une deux Diam diameter diamètre ellipsis equal figure fixed axis forms frusta frustum gallons geometry H'ght half hauteur height hyperbola inclined Key to Ster l'on largeur lateral area lateral faces lateral surface length longueur measured metres middle section multiply oblique obtain opposite and parallel opposite bases parabola paraboloid parallel bases perpendicular pieds plane parallel polygon pounds prismoid PROBLEM pyramid Quebec radius rectangle règle regular polyhedrons required area required solidity roof rule sector segment sera sides specific gravity sphere or spheroid spherical excess spindle Sqre square Stereometrical Tableau tables trapeziums triangular prism tronc ungula volume wedge zone
Popular passages
Page 42 - ... 14. If a body of uniform density floats in a fluid, the volume of the part immersed is to the volume of the whole body as the specific gravity of the body is to the specific gravity of the fluid. A piece of cork weighing...
Page 41 - Take out the corresponding area, in the next column on the right hand, and multiply it by the square of the longest chord ; the product will be the area of the zone.
Page xxvii - SIR, I beg to acknowledge receipt of your letter of the 4th instant informing me that the first prize had been awarded you, in France, for your Stereometrical Tableau.
Page 42 - ... sink together. Weigh the denser body, and the compound mass separately, both in water, and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...
Page 18 - The area of a rectangle is equal to the product of the length by the breadth.
Page 18 - Since the area of any triangle is equal to half the product of the...
Page 42 - ... then, as the weight lost in water is to the whole weight, so is the specific gravity of water to the specific gravity of the body.
Page 42 - ... the loss of weight by taking the difference of the two; then say, As the whole or absolute weight, Is to the loss of weight ; So is the specific gravity of the solid, To the specific gravity of the fluid.
Page xv - Dear Sir, — I beg to acknowledge with many thanks the receipt of a number of papers explanatory of your new formula for finding the contents of solid bodies.
Page 4 - A point, therefore, is a aero, not only in solidity and superficies, but in length also, having no magnitude or proportion, and retaining only order or position as the sole element of its existence. A line may be conceived as made up of an infinite series of points following each other in close contact or succession. In the position of points, the difference in direction of a first and second point from a third is called an angle. We have here all the elemental conceptions of geometry, viz., a point,...