Elements of Geometry and Conic SectionsHarper & Brothers, 1857 - 226 sider |
Inni boken
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
... segment less than a semicircle is an obtuse an- B gle , for it is measured by half an arc greater than a ... segment AGC ; and the angle EAC is equal to an angl scribed in the segment AFC . 7- BOOK IV . THE PROPORTIONS OF FIGURES ...
... segment less than a semicircle is an obtuse an- B gle , for it is measured by half an arc greater than a ... segment AGC ; and the angle EAC is equal to an angl scribed in the segment AFC . 7- BOOK IV . THE PROPORTIONS OF FIGURES ...
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 D ДД ...
... 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 D ДД ...
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 ' = AB2 + BC2 = 2AB2 ; 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 ' = AB2 + BC2 = 2AB2 ; therefore the square described on the diagonal of a square ...
Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone 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 given angle greater Hence Prop hyperbola inscribed intersection join latus rectum less Let ABC lines AC major axis mean proportional measured by half meet 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 side BC similar similar triangles solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC triangle DEF vertex vertices VIII
Populære avsnitt
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 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 101 - When you have proved that the three angles of every triangle are equal to two right angles...
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 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
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 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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 30 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.