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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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 10
... theorem . A Proposition is a general term for either a theorem , a problem or a lemma . A Corollary is an obvious consequence , resulting from a demonstration . An Hypothesis is a supposition , and may be either true or false . A ...
... theorem . A Proposition is a general term for either a theorem , a problem or a lemma . A Corollary is an obvious consequence , resulting from a demonstration . An Hypothesis is a supposition , and may be either true or false . A ...
Σελίδα 16
... 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 from comparing ...
... 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 from comparing ...
Σελίδα 20
... 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 Q , q ' their ...
... 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 Q , q ' their ...
Σελίδα 21
... 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 representatives of four ...
... 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 representatives of four ...
Σελίδα 22
... 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 , S , be the ...
... 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 , S , be the ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 116 - E to A, from A to B, from B to C, and from C to...
Σελίδα 35 - The sum of any two sides of a triangle, is greater than the third side.
Σελίδα 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Σελίδα 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Σελίδα 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 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...
Σελίδα 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...
Σελίδα 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.