Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
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Side 36
... pass , then they must necessarily coincide between A and B ( Def . 8. ) ; but if they do not coincide . throughout , let ACD be the direction of A one , and ACE that of the other ; and at the point C , where they separate , let there be ...
... pass , then they must necessarily coincide between A and B ( Def . 8. ) ; but if they do not coincide . throughout , let ACD be the direction of A one , and ACE that of the other ; and at the point C , where they separate , let there be ...
Side 62
... pass- es through two of the points just mentioned , will necessarily pass through the third , and be perpendicular to the chord . It follows , likewise , that the perpendicular raised from the middle of a chord passes through the centre ...
... pass- es through two of the points just mentioned , will necessarily pass through the third , and be perpendicular to the chord . It follows , likewise , that the perpendicular raised from the middle of a chord passes through the centre ...
Side 63
... pass through three given points . Cor . 1. Two circumferences cannot meet in more than two points ; for , if they have three common points , there would be two circumferences passing through the same three points ; which has been shown ...
... pass through three given points . Cor . 1. Two circumferences cannot meet in more than two points ; for , if they have three common points , there would be two circumferences passing through the same three points ; which has been shown ...
Side 64
... pass through the circle , and thus cut the circumference in some other point besides B ; but this is contrary to the hypothesis ; therefore a line drawn from C to any other point , E in AD , must be longer than CB ; this therefore being ...
... pass through the circle , and thus cut the circumference in some other point besides B ; but this is contrary to the hypothesis ; therefore a line drawn from C to any other point , E in AD , must be longer than CB ; this therefore being ...
Side 66
... pass through each of the two centres C and D ( Prop . VI . Sch . ) But no more than one straight line can be drawn through two points ; hence the straight line , which passes through the centres , will bisect the chord at right angles ...
... pass through each of the two centres C and D ( Prop . VI . Sch . ) But no more than one straight line can be drawn through two points ; hence the straight line , which passes through the centres , will bisect the chord at right angles ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Populære avsnitt
Side 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 35 - The sum of any two sides of a triangle, is greater than the third side.
Side 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Side 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Side 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Side 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.