Elements of Geometry and Conic SectionsHarper, 1849 - 226 sider |
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Resultat 1-5 av 24
Side 44
... segment of a circle is the figure included between an arc and its chord . 5. A sector of a circle is the figure included between an arc , and the two radii drawn to the extremities of the arc . 6. A straight line is said to be inscribed ...
... segment of a circle is the figure included between an arc and its chord . 5. A sector of a circle is the figure included between an arc , and the two radii drawn to the extremities of the arc . 6. A straight line is said to be inscribed ...
Side 55
... segment are equal , for they are all measured by half the same arc BEC . ( See next fig . ) Cor . 2. Every angle inscribed in a semicircle is a right angle , because it is measured by half a semicircumference , that is , the fourth part ...
... segment are equal , for they are all measured by half the same arc BEC . ( See next fig . ) Cor . 2. Every angle inscribed in a semicircle is a right angle , because it is measured by half a semicircumference , that is , the fourth part ...
Side 56
Elias Loomis. Cor . 3. Every angle inscribed in a segment greater than a semicircle is an acute angle , for it is measured by half an arc less than a semicircumference . Every angle inscribed in a segment less than a semicircle is an ...
Elias Loomis. Cor . 3. Every angle inscribed in a segment greater than a semicircle is an acute angle , for it is measured by half an arc less than a semicircumference . Every angle inscribed in a segment less than a semicircle is an ...
Side 57
... segments , are those which correspond to equal angles at the center . Thus , if the angles A and D are equal , the arc BC will be similar to the arc EF , the sector ABC to the sector DEF , and the segment BGC to the segment EHF . A Ꭰ B ...
... segments , are those which correspond to equal angles at the center . Thus , if the angles A and D are equal , the arc BC will be similar to the arc EF , the sector ABC to the sector DEF , and the segment BGC to the segment EHF . A Ꭰ B ...
Side 66
... segment adjacent to that side . Cor . 3. Let ABCD be a square , and AC its diagonal ; the triangle ABC being right - angled and isosceles , we have = AC ' AB ' + BC ' = 2AB ' ; therefore the square described on the diagonal of a square ...
... segment adjacent to that side . Cor . 3. Let ABCD be a square , and AC its diagonal ; the triangle ABC being right - angled and isosceles , we have = AC ' AB ' + BC ' = 2AB ' ; therefore the square described on the diagonal of a square ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Ingen forhåndsvisning tilgjengelig - 2016 |
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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.