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 11
... multiplied by A - B + C , the pro- duct would be indicated thus ( A + B ) × ( A — B + C ) , those quantities ... multiplied into itself ; A signifies the cube of A , or that the product of A into itself is to be multiplied by A ; and A ...
... multiplied by A - B + C , the pro- duct would be indicated thus ( A + B ) × ( A — B + C ) , those quantities ... multiplied into itself ; A signifies the cube of A , or that the product of A into itself is to be multiplied by A ; and A ...
Side 12
... multiplied by equal quantities , the products will be equal . 7. If equal quantities are divided by equal quantities , the quotients will be equal . 8. The whole of a quantity is equal to the sum of all its parts . 9. Things which ...
... multiplied by equal quantities , the products will be equal . 7. If equal quantities are divided by equal quantities , the quotients will be equal . 8. The whole of a quantity is equal to the sum of all its parts . 9. Things which ...
Side 51
... multiplied by 4-2 , which amounts to four right angles ; hence , if all the angles of a quadrilateral are equal , each of them will be a right angle ; and if the sum of any two of the angles is equal to two right angles , the sum of the ...
... multiplied by 4-2 , which amounts to four right angles ; hence , if all the angles of a quadrilateral are equal , each of them will be a right angle ; and if the sum of any two of the angles is equal to two right angles , the sum of the ...
Side 115
... multiplied by one half their re- spective altitudes AF and CH on that base . PROPOSITION XXXII . THEOREM . HD F B C The area of every triangle is equal to half the product of any two of its sides reduced in the ratio of either of those ...
... multiplied by one half their re- spective altitudes AF and CH on that base . PROPOSITION XXXII . THEOREM . HD F B C The area of every triangle is equal to half the product of any two of its sides reduced in the ratio of either of those ...
Side 120
... multiplying each of these equals by AD , we have AE.AD — AD2 + AD.DE ; now AD . DE = BD.DC ( Prop . XXXV . Cor . ) ; hence , finally , BA.AC = AD + BD.DC . PROPOSITION XXXIX . THEOREM . In ... multiplied by the 120 ELEMENTS OF GEOMETRY .
... multiplying each of these equals by AD , we have AE.AD — AD2 + AD.DE ; now AD . DE = BD.DC ( Prop . XXXV . Cor . ) ; hence , finally , BA.AC = AD + BD.DC . PROPOSITION XXXIX . THEOREM . In ... multiplied by the 120 ELEMENTS OF GEOMETRY .
Andre utgaver - Vis alle
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.