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 |
Inni boken
Resultat 1-5 av 100
Side 15
... common multiplyer being m . 18. Equi - submultiples or like submultiples are those which are contained in their respective multiples the same number of times . 19. Two quantities , A and B , are said to be reciprocally proportional , or ...
... common multiplyer being m . 18. Equi - submultiples or like submultiples are those which are contained in their respective multiples the same number of times . 19. Two quantities , A and B , are said to be reciprocally proportional , or ...
Side 18
... common measure in simple finite terms ; and hence they are called incommensurable . Scholium . Since the decimals resulting from dividing one number by another , when the two numbers have no common measure , in integral numbers , are ...
... common measure in simple finite terms ; and hence they are called incommensurable . Scholium . Since the decimals resulting from dividing one number by another , when the two numbers have no common measure , in integral numbers , are ...
Side 28
... common measure in direct terms . For let C , D , E , & c . , be the successive remainders in the process for finding the common measure , ( Prop . V. ) ; then Ĉ cannot measure B , otherwise B would measure A ( Prop . X. ) , and there ...
... common measure in direct terms . For let C , D , E , & c . , be the successive remainders in the process for finding the common measure , ( Prop . V. ) ; then Ĉ cannot measure B , otherwise B would measure A ( Prop . X. ) , and there ...
Side 35
... common point , making the sum of the two adjacent angles equal to two right angles , the two right lines which are met will form one and the same right line . Let the right line CD meet the two lines AC , CB , at their common point C ...
... common point , making the sum of the two adjacent angles equal to two right angles , the two right lines which are met will form one and the same right line . Let the right line CD meet the two lines AC , CB , at their common point C ...
Side 36
... common angle CEA , the remaining angles CEB , AED must be equal . In a similar manner it might have been shown that the opposite angles CEA , DEB , are equal . Scholium . The four angles formed about a point by two straight lines ...
... common angle CEA , the remaining angles CEB , AED must be equal . In a similar manner it might have been shown that the opposite angles CEA , DEB , are equal . Scholium . The four angles formed about a point by two straight lines ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 35 - The sum of any two sides of a triangle, is greater than the third side.
Side 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Side 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 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...
Side 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...
Side 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.