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 31
... sides ; but figures are more particularly distinguished as fol- lows , viz : A figure of three sides is called a triangle . The quadrilateral has four sides . The pentagon has five sides . The hexagon has six sides . The heptagon has seven ...
... sides ; but figures are more particularly distinguished as fol- lows , viz : A figure of three sides is called a triangle . The quadrilateral has four sides . The pentagon has five sides . The hexagon has six sides . The heptagon has seven ...
Seite 32
... sides equal ; The isosceles triangle which has two of its sides equal ; The scalene triangle , which has its three sides unequal . Δ Δ The acute angled triangle , which has three acute angles . The obtuse angled triangle which has one ...
... sides equal ; The isosceles triangle which has two of its sides equal ; The scalene triangle , which has its three sides unequal . Δ Δ The acute angled triangle , which has three acute angles . The obtuse angled triangle which has one ...
Seite 33
... sides , or the equal angles , are called homologous sides or angles . POSTULATES . 1. Grant that a right line may be drawn from one point to another . 2. And that it may be either increased till it is equal to a greater right line , or ...
... sides , or the equal angles , are called homologous sides or angles . POSTULATES . 1. Grant that a right line may be drawn from one point to another . 2. And that it may be either increased till it is equal to a greater right line , or ...
Seite 37
... sides and the included angle in one triangle be equal to two sides and the included angle in another triangle , those triangles shall be equal . Let the triangles ABC , DEF , have the sides AB , AC , and the included angle A in the one ...
... sides and the included angle in one triangle be equal to two sides and the included angle in another triangle , those triangles shall be equal . Let the triangles ABC , DEF , have the sides AB , AC , and the included angle A in the one ...
Seite 38
... side EF in the other , the two triangles will be equal . In proof of this it will be necessary only to show that the side AB must be equal to the side DE ( Prop . VIII . ) If this equality be denied , let one of these sides , as AB , be ...
... side EF in the other , the two triangles will be equal . In proof of this it will be necessary only to show that the side AB must be equal to the side DE ( Prop . VIII . ) If this equality be denied , let one of these sides , as AB , be ...
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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
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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.