Elementary Course of Geometry ...Harper & brothers, 1847 - 103 σελίδες |
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Σελίδα 8
... proportional . * The homologous sides are those Perhaps it will be a little plainer to say that the homologous sides in the two figures have the same ratio . Thus , if the first side in the one figure ( beginning in both at the sides ...
... proportional . * The homologous sides are those Perhaps it will be a little plainer to say that the homologous sides in the two figures have the same ratio . Thus , if the first side in the one figure ( beginning in both at the sides ...
Σελίδα 50
... proportional when the ratio of the first to the second is equal to the ratio of the second to the third . As of the three quantities , A2 , B = 4 , C = 8 , where == , both the same ratio . 78. Four quantities are said to be proportional ...
... proportional when the ratio of the first to the second is equal to the ratio of the second to the third . As of the three quantities , A2 , B = 4 , C = 8 , where == , both the same ratio . 78. Four quantities are said to be proportional ...
Σελίδα 51
... proportional , the middle one is repeated , and they are written thus , A : B :: B : C. 79. Of three proportional quantities , the middle one is said to be a Mean Proportional between the other two ; and the last a Third Proportional to ...
... proportional , the middle one is repeated , and they are written thus , A : B :: B : C. 79. Of three proportional quantities , the middle one is said to be a Mean Proportional between the other two ; and the last a Third Proportional to ...
Σελίδα 53
... proportional , they will be in proportion by inversion or inversely . Let A : B :: mA : mB ; then will B : A :: mB : mA . For mA A = mB B Otherwise . Let A : B :: C : D ; then shall B : A :: D : C. For let = C D r ; then A = Br , and C ...
... proportional , they will be in proportion by inversion or inversely . Let A : B :: mA : mB ; then will B : A :: mB : mA . For mA A = mB B Otherwise . Let A : B :: C : D ; then shall B : A :: D : C. For let = C D r ; then A = Br , and C ...
Σελίδα 54
... proportional quantities there be taken any equimultiples whatever of the two antecedents , and any equimultiples whatever of the two consequents , the quantities resulting will still be proportional . Let A : B :: mA : mB ; also , let ...
... proportional quantities there be taken any equimultiples whatever of the two antecedents , and any equimultiples whatever of the two consequents , the quantities resulting will still be proportional . Let A : B :: mA : mB ; also , let ...
Άλλες εκδόσεις - Προβολή όλων
ELEM COURSE OF GEOMETRY Charles W. (Charles William) 1. Hackley Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles equal axis bisect center of similitude chord circumference cone consequently construct cylinder diagonal diameter dicular divided draw equal angles equal bases equal distances equiangular equilateral triangle figure find a point find the area frustum geometric locus given angle given circle given line given point given triangle gles Hence hypothenuse indeterminate problems inscribed intersection isosceles isosceles triangle Let ABC line drawn line joining locus which resolves measured meet parallel planes parallelogram pendicular pentagon perimeter perpen perpendicular plane angles plane XZ polygon polyhedral angle polyhedrons prism Prob Prop proportional Prove pyramid radical axis radii radius ratio rectangle regular polygon regular polyhedrons resolves this problem rhombus right line right-angled triangle Scholium segment semicircle side AC similar Solution sphere spherical polygon spherical triangle straight line surface symmetric tangent tetrahedrons triangle ABC trihedral angles vertex
Δημοφιλή αποσπάσματα
Σελίδα 33 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle.
Σελίδα 70 - The areas or spaces of circles are to each other as the squares of their diameters, or of their radii.
Σελίδα 50 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Σελίδα 50 - Four quantities are said to be proportional when the ratio of the first to the second is the same as the ratio of the third to the fourth.
Σελίδα 60 - Carol. 4. Parallelograms, or triangles, having an angle in each equal, are in proportion to each other as the rectangles of the sides which are about these equal angles. THEOREM LXXXII. IF a line be drawn in a triangle parallel to one of its sides, it will cut the other two sides proportionally.
Σελίδα 23 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 1 - A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line.
Σελίδα 51 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Σελίδα 5 - ... 07958 in using the circumferences j then taking one-third of the product, to multiply by the length, for the content. Ex. 1. To find the number of solid feet in a piece of timber, whose bases are squares, each side of the greater end being 15 inches, and each side of the less end 6 inches ; also, the length or perpendicular altitude 2-1 feet.
Σελίδα 2 - What is the upright surface of a triangular pyramid, the slant height being 20 feet, and each side of the base 3 feet ? • Ans.