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 16
... PROPOSITION II . THEOREM . If a magnitude is expressed in terms of the unit of a homo- logous magnitude , any multiple of such magnitude may also be expressed in like terms . For if A represent the magnitude and Q the quotient aris- ing ...
... PROPOSITION II . THEOREM . If a magnitude is expressed in terms of the unit of a homo- logous magnitude , any multiple of such magnitude may also be expressed in like terms . For if A represent the magnitude and Q the quotient aris- ing ...
Seite 20
... PROPOSITION VII . THEOREM . When four magnitudes or quantities are proportional , the product of the two extremes is equal to the product of the two means . Let A , B , C , D be four magnitudes which are in propor- tion , and Q , q and ...
... PROPOSITION VII . THEOREM . When four magnitudes or quantities are proportional , the product of the two extremes is equal to the product of the two means . Let A , B , C , D be four magnitudes which are in propor- tion , and Q , q and ...
Seite 21
... PROPOSITION X. THEOREM . If four quantities are proportional , they will be proportional alternately or by permutation , or the antecedents will have the same ratio as the consequents . Let P , Q , R , S , be the numerical ...
... PROPOSITION X. THEOREM . If four quantities are proportional , they will be proportional alternately or by permutation , or the antecedents will have the same ratio as the consequents . Let P , Q , R , S , be the numerical ...
Seite 22
... PROPOSITION XIV . THEOREM . If of four proportional quantities there be taken any equi- multiples of the two antecedents , and any equimultiples of the two consequents , the four resulting quantities will be proportional . Let P , Q , R ...
... PROPOSITION XIV . THEOREM . If of four proportional quantities there be taken any equi- multiples of the two antecedents , and any equimultiples of the two consequents , the four resulting quantities will be proportional . Let P , Q , R ...
Seite 26
... PROPOSITION XXI . THEOREM . If the antecedents in one proportion be the same as those in another , then the first antecedent is to the sum or difference of the first consequents , as the second antecedent is to the sum or difference of ...
... PROPOSITION XXI . THEOREM . If the antecedents in one proportion be the same as those in another , then the first antecedent is to the sum or difference of the first consequents , as the second antecedent is to the sum or difference 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.