Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes & Burr, 1863 |
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Αποτελέσματα 1 - 5 από τα 76.
Σελίδα 71
... multiplying the quantities by the same number . Thus , if we have any two numbers , as 6 and 5 , and multiply Of Ratios and Proportions . them both by any number BOOK III . 71.
... multiplying the quantities by the same number . Thus , if we have any two numbers , as 6 and 5 , and multiply Of Ratios and Proportions . them both by any number BOOK III . 71.
Σελίδα 72
... multiply the other by the same number , one would increase in the same ratio as the other would diminish , and their product would not be changed . THEOREM I. If four quantities are in proportion , the product of the two ex- tremes will ...
... multiply the other by the same number , one would increase in the same ratio as the other would diminish , and their product would not be changed . THEOREM I. If four quantities are in proportion , the product of the two ex- tremes will ...
Σελίδα 74
... Multiplying both members of this equation by C D - = A B and consequently , A : C :: B : D. C we have Sch . The theorem may be verified by the proportion 10 : 15 :: 20 : -30 for , we have , by alternation , 10 : 20 :: 15 : 30 . THEOREM ...
... Multiplying both members of this equation by C D - = A B and consequently , A : C :: B : D. C we have Sch . The theorem may be verified by the proportion 10 : 15 :: 20 : -30 for , we have , by alternation , 10 : 20 :: 15 : 30 . THEOREM ...
Σελίδα 77
... multiply the nu merator and denominator of the first member of the equation which will not change its value : we ... multiplying the first antecedent and consequent by any number , as 6 , we have 30 : 60 :: 12 : 24 , in which the ratio ...
... multiply the nu merator and denominator of the first member of the equation which will not change its value : we ... multiplying the first antecedent and consequent by any number , as 6 , we have 30 : 60 :: 12 : 24 , in which the ratio ...
Σελίδα 81
... Multiplying the equalities together , we have F H EG BxF DxH AXE CXG and this by Th . II , gives AXE : BXF :: CXG : DXH . Sch . The proposition may be verified by the following proportions : and 8 : 12 :: 10 : 15 , 3 : 4 :: 6 : 8 ; we ...
... Multiplying the equalities together , we have F H EG BxF DxH AXE CXG and this by Th . II , gives AXE : BXF :: CXG : DXH . Sch . The proposition may be verified by the following proportions : and 8 : 12 :: 10 : 15 , 3 : 4 :: 6 : 8 ; we ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A. S. BARNES ABCDE allel altitude angles equal axis base multiplied bisect centre chord circle whose diameter circumference common intersection cone consequently convex surface Cosine Cotang cubic curve cylinder decimal degrees diagonal dicular distance divided draw equal Bk equal to half equivalent feet figure find the area find the Solidity frustum GEOMETRY half the product hence hexagon horizontal hypothenuse inches included angle inscribed Let ABCD lower base measured by half Mensuration of Surfaces nonagon parallelogram parallelopipedon pendicular pentagon perimeter perpen perpendicular plane MN polyedron prism PROBLEM proportional quadrilateral radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC sides is called similar triangles Sine slant height sphere straight line suppose TABLE OF LOGARITHMS Tang tangent THEOREM three sides triangle ABC Trigonometry upper base vertex yards
Δημοφιλή αποσπάσματα
Σελίδα 10 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 54 - Two triangles of the same altitude are to each other as their bases ; and...
Σελίδα 95 - A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases.
Σελίδα 12 - Let ABC be a triangle, of which the side AC is greater than the side AB; the angle ABC shall be greater than the angle BCA.
Σελίδα 77 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 24 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 92 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Σελίδα 135 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Σελίδα 145 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Σελίδα 23 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.