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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Resultat 1-5 av 85
Side 21
... equation to or subtract it from P.R and we shall have P.R ± Q.R = P.R ± P.S ; or ( PQ ) XR = ( R ± S ) × P . But ( PQ ) and R may be considered as the two extremes , and RS and P the two means of a proportion ; hence P ÷ Q : P :: R ± S ...
... equation to or subtract it from P.R and we shall have P.R ± Q.R = P.R ± P.S ; or ( PQ ) XR = ( R ± S ) × P . But ( PQ ) and R may be considered as the two extremes , and RS and P the two means of a proportion ; hence P ÷ Q : P :: R ± S ...
Side 22
... equation into a K К proportion , we have P : Q :: R : S , which is the same as the former proportion . Again , let P ' and R ' be two quantities having the same ra- tio as the two antecedents P and R ; then 22 ELEMENTS OF GEOMETRY .
... equation into a K К proportion , we have P : Q :: R : S , which is the same as the former proportion . Again , let P ' and R ' be two quantities having the same ra- tio as the two antecedents P and R ; then 22 ELEMENTS OF GEOMETRY .
Side 24
... ( Ax . 1. ) , M by resolving the equation into a proportion , we have Q : S :: M : N . Cor . If there be two sets of proportionals , having an an- tecedent and consequent of the first equal to an antecedent 24 ELEMENTS OF GEOMETRY .
... ( Ax . 1. ) , M by resolving the equation into a proportion , we have Q : S :: M : N . Cor . If there be two sets of proportionals , having an an- tecedent and consequent of the first equal to an antecedent 24 ELEMENTS OF GEOMETRY .
Side 27
... equation , viz : PS = QR , and square both sides , we have PSXPS = QRXQR , or P2S2 = QR , which result is the same as that obtained from the sec- ond proportion ; and this equation may be resolved into the proportion P : Q :: R2 : S ...
... equation , viz : PS = QR , and square both sides , we have PSXPS = QRXQR , or P2S2 = QR , which result is the same as that obtained from the sec- ond proportion ; and this equation may be resolved into the proportion P : Q :: R2 : S ...
Side 107
... equation , is also proportional to the second member ; or , since CD is constant , it is proportional to -or to a third AV2 VB proportional to BV and AV . And , since the capacities of these circumscribing cones are as their surfaces ...
... equation , is also proportional to the second member ; or , since CD is constant , it is proportional to -or to a third AV2 VB proportional to BV and AV . And , since the capacities of these circumscribing cones are as their surfaces ...
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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.