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 58
... centre . 3. The boundary of a circle is called its circumference . 4. The radius is a right line drawn from the centre of a circle to the circumference , and it follows from Def . 2. that all radii are equal . 5. The diameter of a ...
... centre . 3. The boundary of a circle is called its circumference . 4. The radius is a right line drawn from the centre of a circle to the circumference , and it follows from Def . 2. that all radii are equal . 5. The diameter of a ...
Seite 59
... centre , is meant one which has its vertex in the centre . In both cases , the angles are said to be subtended by the chords , or the arcs , which their sides include . PROPOSITION I. THEOREM . A diameter divides a circle and its ...
... centre , is meant one which has its vertex in the centre . In both cases , the angles are said to be subtended by the chords , or the arcs , which their sides include . PROPOSITION I. THEOREM . A diameter divides a circle and its ...
Seite 62
... centre on the same chord , since both of them pass through the centre and middle of the chord . PROPOSITION VII . THEOREM . Through three given points not in the same right line , one circumference may be made to pass , and but one ...
... centre on the same chord , since both of them pass through the centre and middle of the chord . PROPOSITION VII . THEOREM . Through three given points not in the same right line , one circumference may be made to pass , and but one ...
Seite 63
... centre could not be out of the line DE , for then it would be unequally distant from A and B ( Prop . XVIII . B. II ... centre , more than two equal lines cannot be drawn to the circumference . Cor . 3. Consequently , that point from ...
... centre could not be out of the line DE , for then it would be unequally distant from A and B ( Prop . XVIII . B. II ... centre , more than two equal lines cannot be drawn to the circumference . Cor . 3. Consequently , that point from ...
Seite 64
... centre ; AD shall be perpendicular to BC . For every point in AD , except B , lies without the circum- ference to suppose that any point lay within the circumfer- ence , the line AD must be supposed to pass through the circle , and thus ...
... centre ; AD shall be perpendicular to BC . For every point in AD , except B , lies without the circum- ference to suppose that any point lay within the circumfer- ence , the line AD must be supposed to pass through the circle , and thus ...
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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.