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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Seite 30
... determines the angle at B. B An angle is designated by a letter at the vertex or point where the lines meet , as B ; but if two or more angles have the same vertex , then each angle is designated by naming the sides about the angle ...
... determines the angle at B. B An angle is designated by a letter at the vertex or point where the lines meet , as B ; but if two or more angles have the same vertex , then each angle is designated by naming the sides about the angle ...
Seite 62
... determine the posi- tion of a straight line ; hence every straight line which 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 ...
... determine the posi- tion of a straight line ; hence every straight line which 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 ...
Seite 116
... determined by having the two sides and their included angle given , half the product of which must be multiplied by the sine of such an- gle ; and the sine may be shown to be the ratio of the side of a triangle to a perpendicular drawn ...
... determined by having the two sides and their included angle given , half the product of which must be multiplied by the sine of such an- gle ; and the sine may be shown to be the ratio of the side of a triangle to a perpendicular drawn ...
Seite 140
... determined the line CP ' , by making AP ( 2AB - AG ) , it will only be necessary to divide the remaining quadrilateral AP ... determine upon which side the perpendicular is to fall ; for as one triangle will be always at least double the ...
... determined the line CP ' , by making AP ( 2AB - AG ) , it will only be necessary to divide the remaining quadrilateral AP ... determine upon which side the perpendicular is to fall ; for as one triangle will be always at least double the ...
Seite 147
... determined by the number of its sides ( Prop . XXVIII . B. II . ) PROPOSITION II . THEOREM . Any regular polygon may be inscribed in a circle and cir- cumscribed about one . Let ABCDE , & c . , be a regular poly- gon ; describe a circle ...
... determined by the number of its sides ( Prop . XXVIII . B. II . ) PROPOSITION II . THEOREM . Any regular polygon may be inscribed in a circle and cir- cumscribed about one . Let ABCDE , & c . , be a regular poly- gon ; describe a circle ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Seite 116 - E to A, from A to B, from B to C, and from C to...
Seite 35 - The sum of any two sides of a triangle, is greater than the third side.
Seite 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Seite 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Seite 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Seite 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 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...
Seite 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...
Seite 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.