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 32
... opposite the right angle is called the hypothenuse . If , for example , the angle A is right , the side BC is the ... opposite sides are parallel . 29. If only two of the opposite sides are parallel , the figure is a trapezium . 30. A ...
... opposite the right angle is called the hypothenuse . If , for example , the angle A is right , the side BC is the ... opposite sides are parallel . 29. If only two of the opposite sides are parallel , the figure is a trapezium . 30. A ...
Seite 36
... opposite angles formed at their intersection will be equal . If the two right lines AB , CD , C intersect at E , the opposite angles , CEB , AED , will be equal . For the sum of the angles CEA , CEB , is equal to two right angles ( Prop ...
... opposite angles formed at their intersection will be equal . If the two right lines AB , CD , C intersect at E , the opposite angles , CEB , AED , will be equal . For the sum of the angles CEA , CEB , is equal to two right angles ( Prop ...
Seite 37
... opposite angles formed by four right lines meeting in a point are equal , those lines shall form but two right lines . Let the four right lines AE , BE , CE , DE , meet in the point E ( see the diagram to last proposition ) , so that ...
... opposite angles formed by four right lines meeting in a point are equal , those lines shall form but two right lines . Let the four right lines AE , BE , CE , DE , meet in the point E ( see the diagram to last proposition ) , so that ...
Seite 38
... opposite side bisect that side , it shall also bi- sect the angle , and the sides containing that angle shall be equal ; that is , the triangle will be either isosceles or equilat- eral . Cor . 2. When two triangles have these three ...
... opposite side bisect that side , it shall also bi- sect the angle , and the sides containing that angle shall be equal ; that is , the triangle will be either isosceles or equilat- eral . Cor . 2. When two triangles have these three ...
Seite 41
... opposite the equal sides EF and BC . PROPOSITION XIV . THEOREM . The angles opposite the equal sides of an isosceles triangle are equal . Let the sides AB , AC , of the triangle ABC be equal , then will the angle C be equal to the angle ...
... opposite the equal sides EF and BC . PROPOSITION XIV . THEOREM . The angles opposite the equal sides of an isosceles triangle are equal . Let the sides AB , AC , of the triangle ABC be equal , then will the angle C be equal to the angle ...
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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.