Plane and Solid GeometryGinn, 1903 - 473 sider |
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Side iv
... quantities , and the principles of reciprocity and continuity have been briefly explained ; but the application of these principles is left mainly to the discretion of teachers . The author desires to express his appreciation of the ...
... quantities , and the principles of reciprocity and continuity have been briefly explained ; but the application of these principles is left mainly to the discretion of teachers . The author desires to express his appreciation of the ...
Side 92
... quantities . in terms of a common unit , and then dividing one of the measures by the other . In other words the ratio The quotient is called their ratio . of two quantities of the same kind is the ratio of their numeri- cal measures ...
... quantities . in terms of a common unit , and then dividing one of the measures by the other . In other words the ratio The quotient is called their ratio . of two quantities of the same kind is the ratio of their numeri- cal measures ...
Side 93
... quantities is called an incommensurable ratio ; and is a fixed value which its suc- cessive approximate values constantly approach . THE THEORY OF LIMITS . 271. When a quantity is regarded as having a fixed value throughout the same ...
... quantities is called an incommensurable ratio ; and is a fixed value which its suc- cessive approximate values constantly approach . THE THEORY OF LIMITS . 271. When a quantity is regarded as having a fixed value throughout the same ...
Side 106
... Quantities . In meas- urements it is convenient to mark the distinction between two quantities that are measured in oppo- site directions , by calling one of them positive and the other negative . Thus , if OA is considered positive ...
... Quantities . In meas- urements it is convenient to mark the distinction between two quantities that are measured in oppo- site directions , by calling one of them positive and the other negative . Thus , if OA is considered positive ...
Side 107
... quantities measured in opposite directions , a theorem may often be so stated as to include two or more particular theorems . The following theorem furnishes a good illustration : 299. The angle included between two lines of unlimited ...
... quantities measured in opposite directions , a theorem may often be so stated as to include two or more particular theorems . The following theorem furnishes a good illustration : 299. The angle included between two lines of unlimited ...
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AB² ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices