Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 sider |
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Resultat 1-5 av 27
Side 7
... Ratio and Proportion BOOK III . The Circle , and the Measure of Angles · BOOK IV . The Proportions of Figures · BOOK V. Problems relating to the preceding Books BOCK VI . Regular Polygons , and the Area of the Circle . SOLID GEOMETRY ...
... Ratio and Proportion BOOK III . The Circle , and the Measure of Angles · BOOK IV . The Proportions of Figures · BOOK V. Problems relating to the preceding Books BOCK VI . Regular Polygons , and the Area of the Circle . SOLID GEOMETRY ...
Side 34
... the other , and are consequently equal ; hence the angle AEB will equal the angle AEC , and therefore the di egonals of a rhombus bisect each other at right angles BOOK II RATIO AND PROPORTION . On the Relation of 31 GEOMEIR.
... the other , and are consequently equal ; hence the angle AEB will equal the angle AEC , and therefore the di egonals of a rhombus bisect each other at right angles BOOK II RATIO AND PROPORTION . On the Relation of 31 GEOMEIR.
Side 35
... ratios of magnitudes may be expressed by numbers either exactly or approximately ; and in the latter case , the approximation can be carried to any required degree of pre cision . Thus , let it be proposed to find the numerical ratio of ...
... ratios of magnitudes may be expressed by numbers either exactly or approximately ; and in the latter case , the approximation can be carried to any required degree of pre cision . Thus , let it be proposed to find the numerical ratio of ...
Side 36
Elias Loomis. uct ratio can not be expressed in numbers ; but , by taking the measuring unit sufficiently small , a ratio may always be found , which shall approach as near as we please to the true ratio . So , also , in comparing two ...
Elias Loomis. uct ratio can not be expressed in numbers ; but , by taking the measuring unit sufficiently small , a ratio may always be found , which shall approach as near as we please to the true ratio . So , also , in comparing two ...
Side 37
Elias Loomis. A the ratio of A to B is written Β ́ The twe magnitudes com pared together are called the terms of the ratio ; the first is called the antecedent , and the second the consequent . 01 Def . 2. Proportion is an equality of ...
Elias Loomis. A the ratio of A to B is written Β ́ The twe magnitudes com pared together are called the terms of the ratio ; the first is called the antecedent , and the second the consequent . 01 Def . 2. Proportion is an equality of ...
Andre utgaver - Vis alle
Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1877 |
Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1895 |
Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1886 |
Vanlige uttrykk og setninger
ABCD allel altitude angle ABC angle ACB angle BAC base bisected chord circle circumference cone convex surface cosine curve described diagonals diameter dicular divided draw ellipse equal angles equal to AC equiangular equilateral equivalent exterior angle figure foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect Join latus rectum less Let ABC logarithm major axis mean proportional meet multiplied number of sides opposite ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical triangle square subtangent tang tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 20 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Side 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
Side 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Side 34 - ... therefore the angle ACB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel to BD.
Side 32 - 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 159 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Side 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Side 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Side 151 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.