Elements of Geometry and Conic SectionsHarper & Brothers, 1857 - 226 sider |
Inni boken
Resultat 1-5 av 100
Side 16
... draw the line CF at right angles with AC ; then , since ACD is a straight line , the angle FCD is a right angle ( Prop . II . , Cor . 1 ) ; and since ACE is a straight line , the angle FCE is also a right angle ; therefore ( Prop . I ...
... draw the line CF at right angles with AC ; then , since ACD is a straight line , the angle FCD is a right angle ( Prop . II . , Cor . 1 ) ; and since ACE is a straight line , the angle FCE is also a right angle ; therefore ( Prop . I ...
Side 23
... drawn to that line . Let A be the given point , and DE the given straight line ; from the point A only one perpendicular can be drawn to DE . C. B D E For , if possible , let there be drawn two perpendiculars AB , AC . Produce the line ...
... drawn to that line . Let A be the given point , and DE the given straight line ; from the point A only one perpendicular can be drawn to DE . C. B D E For , if possible , let there be drawn two perpendiculars AB , AC . Produce the line ...
Side 24
... drawn to this line , and oblique lines be drawn to different points : 1st . The perpendicular will be shorter than ... draw , also , the ob- lique lines AC , AD , AE . Produce the line AB to F , making BF equal to AB , and join CF , DF ...
... drawn to this line , and oblique lines be drawn to different points : 1st . The perpendicular will be shorter than ... draw , also , the ob- lique lines AC , AD , AE . Produce the line AB to F , making BF equal to AB , and join CF , DF ...
Side 25
... draw three equal straight lines from the same point to a given straight line . PROPOSITION XVIII . THEOREM . If through the middle point of a straight line a perpendic- ular is drawn to this line : 1st . Each point in the perpendicular ...
... draw three equal straight lines from the same point to a given straight line . PROPOSITION XVIII . THEOREM . If through the middle point of a straight line a perpendic- ular is drawn to this line : 1st . Each point in the perpendicular ...
Side 29
... draw any straight line , as C PQR , perpendicular to EF . Then , since AB is parallel to EF , PR , which A- is perpendicular to EF , will also be R P -D -B perpendicular to AB ( Prop . XXIII . , Cor . 1 ) ; and since CD is parallel to ...
... draw any straight line , as C PQR , perpendicular to EF . Then , since AB is parallel to EF , PR , which A- is perpendicular to EF , will also be R P -D -B perpendicular to AB ( Prop . XXIII . , Cor . 1 ) ; and since CD is parallel to ...
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.