Elements of Geometry and Conic SectionsHarper, 1849 - 226 sider |
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Resultat 1-5 av 59
Side 13
... half of A. The square of the line AB is denoted by AB ' ; its cube by AB3 . The sign indicates a root to be extracted ; thus , ✓✓2 de- notes the square root of 2 ; √AX B denotes the square root of the product of A and B. N.B. - The ...
... half of A. The square of the line AB is denoted by AB ' ; its cube by AB3 . The sign indicates a root to be extracted ; thus , ✓✓2 de- notes the square root of 2 ; √AX B denotes the square root of the product of A and B. N.B. - The ...
Side 24
... half of ABF , is shorter than AC , the half of ACF . Therefore , the perpendicular AB is shorter than any oblique line , AC . Secondly . Let AC and AE be two oblique lines which meet the line DE at equal distances from the perpendicular ...
... half of ABF , is shorter than AC , the half of ACF . Therefore , the perpendicular AB is shorter than any oblique line , AC . Secondly . Let AC and AE be two oblique lines which meet the line DE at equal distances from the perpendicular ...
Side 25
... half of ACF , is less than AD , the half of ADF ; hence the oblique line which is furthest from the per- pendicular is the longest . Therefore , if from a point , & c . Cor . 1. The perpendicular measures the shortest distance of a ...
... half of ACF , is less than AD , the half of ADF ; hence the oblique line which is furthest from the per- pendicular is the longest . Therefore , if from a point , & c . Cor . 1. The perpendicular measures the shortest distance of a ...
Side 50
... half of AB ; and , for the same reason , DG is the half of DE . But AB is equal to DE ; therefore AF is equal to DG ( Axiom 7 , B. I. ) . Now , in the right - angled triangles ACF , DCG , the hypothenuse AC is equal to the hypothenuse ...
... half of AB ; and , for the same reason , DG is the half of DE . But AB is equal to DE ; therefore AF is equal to DG ( Axiom 7 , B. I. ) . Now , in the right - angled triangles ACF , DCG , the hypothenuse AC is equal to the hypothenuse ...
Side 55
... half of BE . For the same reason , the angle DAE is measured by half the arc DE . Therefore , the whole angle BAD is meas- ured by half the arc BD . Second . Let C , the center of the circle , be without the angle BAD . Draw the di ...
... half of BE . For the same reason , the angle DAE is measured by half the arc DE . Therefore , the whole angle BAD is meas- ured by half the arc BD . Second . Let C , the center of the circle , be without the angle BAD . Draw the di ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Side 27 - VIf 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...
Side 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Side 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
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 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 17 - 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.
Side 148 - I.), that every section of a sphere made by a plane is a circle.