Elements of Geometry and Conic SectionsHarper & Brothers, 1857 - 226 sider |
Inni boken
Resultat 1-5 av 42
Side 11
... opposite the right an- gle is called the hypothenuse . An obtuse - angled triangle is one which has an obtuse an- gle . An acute - angled triangle is one which has three acute angles . 17. Of quadrilaterals , a square is that which has ...
... opposite the right an- gle is called the hypothenuse . An obtuse - angled triangle is one which has an obtuse an- gle . An acute - angled triangle is one which has three acute angles . 17. Of quadrilaterals , a square is that which has ...
Side 15
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line . At the point B , in the straight line AB , let the two straight lines BC , BD , upon ...
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line . At the point B , in the straight line AB , let the two straight lines BC , BD , upon ...
Side 20
... opposite angle as its vertex ; but in an isos celes triangle , that side is usually regarded as the base , which is ... opposite to the greater angle ; and , conversely , the greater angle is opposite to the greater side . Let ABC be a ...
... opposite angle as its vertex ; but in an isos celes triangle , that side is usually regarded as the base , which is ... opposite to the greater angle ; and , conversely , the greater angle is opposite to the greater side . Let ABC be a ...
Side 21
... opposite the greater angle ( Prop . XII . ) , the side EG is greater than the side EF . But EG has been proved equal to BC ; and hence BC is greater than EF . Therefore , f two triangles , & c . PROPOSITION XIV . THEOREM ( Converse of ...
... opposite the greater angle ( Prop . XII . ) , the side EG is greater than the side EF . But EG has been proved equal to BC ; and hence BC is greater than EF . Therefore , f two triangles , & c . PROPOSITION XIV . THEOREM ( Converse of ...
Side 23
... opposite to the equal sides BC , EF . PROPOSITION XVI . THEOREM . From a point without a straight line , only one perpendicular can be drawn to that line . Let A be the given point , and DE the given straight line ; from the point A ...
... opposite to the equal sides BC , EF . PROPOSITION XVI . THEOREM . From a point without a straight line , only one perpendicular can be drawn to that line . Let A be the given point , and DE the given straight line ; from the point A ...
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.