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
... described upon the same plane , and of the surfaces which they enclose ; the second , of lines situated in differ- ent planes , and of the relations of those planes to each oth- er ; and the third part contemplating body under its ...
... described upon the same plane , and of the surfaces which they enclose ; the second , of lines situated in differ- ent planes , and of the relations of those planes to each oth- er ; and the third part contemplating body under its ...
Seite 62
... described from the centre O , with the radius OB , will pass through the given points A , B , C. We have now shown that one circumference can always be made to pass through three given points , not in the same right line : we say ...
... described from the centre O , with the radius OB , will pass through the given points A , B , C. We have now shown that one circumference can always be made to pass through three given points , not in the same right line : we say ...
Seite 66
... , whenever the triangle CAD can be constructed , it is plain that the circles described from the centres C and D , will cut each other in A and B. B PROPOSITION XIV THEOREM . If the distance between the centres 66 ELEMENTS OF GEOMETRY .
... , whenever the triangle CAD can be constructed , it is plain that the circles described from the centres C and D , will cut each other in A and B. B PROPOSITION XIV THEOREM . If the distance between the centres 66 ELEMENTS OF GEOMETRY .
Seite 69
... described from the vertices of the angles as cen- tres with equal radii . Let ACB be the greater and ACD the less angle . Let the less angle be placed on the greater . If the propo- sition is not true , the angle ACB will be to the ...
... described from the vertices of the angles as cen- tres with equal radii . Let ACB be the greater and ACD the less angle . Let the less angle be placed on the greater . If the propo- sition is not true , the angle ACB will be to the ...
Seite 70
... described with equal radii , as is implied in all the foregoing propositions . Scholium . 1. Since the whole circumference is intercepted by four right angles ( Prop . XVI . Cor . ) , a right angle is mea- sured by one fourth part of ...
... described with equal radii , as is implied in all the foregoing propositions . Scholium . 1. Since the whole circumference is intercepted by four right angles ( Prop . XVI . Cor . ) , a right angle is mea- sured by one fourth part of ...
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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.