Elementary Course of Geometry ...Harper & brothers, 1847 - 103 sider |
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Resultat 1-5 av 55
Side vii
... problem Page 1 9 10 11 13 • 15 16 17 19 20 21 • 22 24 26 29 • 30 31 36 . 36 37 THE CIRCLE AND ITS COMBINATIONS WITH ... problems Definitions RATIOS AND PROPORTIONS . Theorems relating to ratio and proportion . Ratios of triangles and ...
... problem Page 1 9 10 11 13 • 15 16 17 19 20 21 • 22 24 26 29 • 30 31 36 . 36 37 THE CIRCLE AND ITS COMBINATIONS WITH ... problems Definitions RATIOS AND PROPORTIONS . Theorems relating to ratio and proportion . Ratios of triangles and ...
Side viii
... PROBLEMS IN PLANE GEOMETRY . Problems relating to perpendiculars . . 74 66 66 to the division and construction of angles 76 66 66 to parallels 77 66 66 66 66 66 66 66 to the construction of triangles 66 to equal figures 78 squares and ...
... PROBLEMS IN PLANE GEOMETRY . Problems relating to perpendiculars . . 74 66 66 to the division and construction of angles 76 66 66 to parallels 77 66 66 66 66 66 66 66 to the construction of triangles 66 to equal figures 78 squares and ...
Side 9
... problem or a theorem . 69. A Problem is something proposed to be done . 70. A Theorem is a truth proposed to be demon- strated . 71. A Hypothesis is a supposition made in the enun- ciation of a proposition , or in the course of a demon ...
... problem or a theorem . 69. A Problem is something proposed to be done . 70. A Theorem is a truth proposed to be demon- strated . 71. A Hypothesis is a supposition made in the enun- ciation of a proposition , or in the course of a demon ...
Side 11
... stated is given or supposed true at the outset . tion as DF , and , since AC is ( THEOREMS . 11 Exercises on the foregoing Exposition of the nature of analysis and synthesis Specimen of the analysis of a problem Page Page.
... stated is given or supposed true at the outset . tion as DF , and , since AC is ( THEOREMS . 11 Exercises on the foregoing Exposition of the nature of analysis and synthesis Specimen of the analysis of a problem Page Page.
Side 36
... problems is what is termed the analytic . This consists in supposing the problem solved , making the diagram accordingly , and then , by examination of the required and given parts of the diagram in their relations to one another ...
... problems is what is termed the analytic . This consists in supposing the problem solved , making the diagram accordingly , and then , by examination of the required and given parts of the diagram in their relations to one another ...
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ELEM COURSE OF GEOMETRY Charles W. (Charles William) 1. Hackley Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 70 - The areas or spaces of circles are to each other as the squares of their diameters, or of their radii.
Side 50 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.