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 9
... space , each apart from the others , nothing more being requisite than the abstracting these others from our inquiry ; so that in considering lines , length only is recognized , and in contemplating surfaces , length and breadth are ...
... space , each apart from the others , nothing more being requisite than the abstracting these others from our inquiry ; so that in considering lines , length only is recognized , and in contemplating surfaces , length and breadth are ...
Seite 12
... space are iden- tical or mutually equal in all their parts . POSTULATES . 1. Let it be granted that magnitudes , as well as numbers , may be multiplied indefinitely . 2. Let it be granted that magnitudes , as well as numbers , may be ...
... space are iden- tical or mutually equal in all their parts . POSTULATES . 1. Let it be granted that magnitudes , as well as numbers , may be multiplied indefinitely . 2. Let it be granted that magnitudes , as well as numbers , may be ...
Seite 29
... space ; therefore all magnitudes possess local- ity . 3. Locality , or position , is a certain condition of an ob- ject in relation to space and in reference to other objects ; and is a quality by which a given object may be distin ...
... space ; therefore all magnitudes possess local- ity . 3. Locality , or position , is a certain condition of an ob- ject in relation to space and in reference to other objects ; and is a quality by which a given object may be distin ...
Seite 33
... space , and are at the same time incapable of such coincidence . 35. An equilateral polygon is one which has all its sides equal . An equiangular polygon is one which has all its angles equal . 36. Two polygons are mutually equilateral ...
... space , and are at the same time incapable of such coincidence . 35. An equilateral polygon is one which has all its sides equal . An equiangular polygon is one which has all its angles equal . 36. Two polygons are mutually equilateral ...
Seite 88
... space , and there will remain the rhomboid AC ; these rhomboids are , therefore equivalent . Cor . 1. Rhomboids whose bases and altitudes are respect- ively equal are equivalent , for the equal bases being placed : the one upon the ...
... space , and there will remain the rhomboid AC ; these rhomboids are , therefore equivalent . Cor . 1. Rhomboids whose bases and altitudes are respect- ively equal are equivalent , for the equal bases being placed : the one upon the ...
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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.