Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 sider |
Inni boken
Resultat 1-5 av 29
Side 10
... multiplied , or divided . Thus , the angle BCD is the sum of the two angles BCE , ECD ; and the angle ECD is the differ ence between the two angles BCD , BCE . 10. When a straight line , meeting another straight line makes the adjacent ...
... multiplied , or divided . Thus , the angle BCD is the sum of the two angles BCE , ECD ; and the angle ECD is the differ ence between the two angles BCD , BCE . 10. When a straight line , meeting another straight line makes the adjacent ...
Side 38
... Multiplying each of these equal quantities by B ( Axiom 1 ) we obtain A BXC D Mutiplying each of these last equals by D , we have AXD = BXC . Cor . If there are three proportional quantities , the produ of the two extremes is equal to ...
... Multiplying each of these equal quantities by B ( Axiom 1 ) we obtain A BXC D Mutiplying each of these last equals by D , we have AXD = BXC . Cor . If there are three proportional quantities , the produ of the two extremes is equal to ...
Side 42
... multiplying each of these equals by itself ( Axiom 1 ) , we have A2x D2 B2 x C ' ; = and multiplying these last equals by AxD = BXC , we have A3 × D3 = B3 × C3 . Therefore , by Prop . II . , • nd A2 : B2 :: C2 : D ' , A3 : B3 :: C3 : D3 ...
... multiplying each of these equals by itself ( Axiom 1 ) , we have A2x D2 B2 x C ' ; = and multiplying these last equals by AxD = BXC , we have A3 × D3 = B3 × C3 . Therefore , by Prop . II . , • nd A2 : B2 :: C2 : D ' , A3 : B3 :: C3 : D3 ...
Side 62
... DEX KF . Hence the area of a trapezoid is equal to its altitude , multiplied by the line which joins the middle points of the sides uhih are not parallel . PROPOSITION VIII . THEOREM . If a straight line is 62 GEOMETRY .
... DEX KF . Hence the area of a trapezoid is equal to its altitude , multiplied by the line which joins the middle points of the sides uhih are not parallel . PROPOSITION VIII . THEOREM . If a straight line is 62 GEOMETRY .
Side 75
... the square on BC is to B the square on EF . A By similar triangles , we have ( Def . 3 ) Also , AB : DE :: BC : EF . BC : EF :: BC : EF D CE F Multiplying together the corresponding terms of these pro portions , BOOK IV . 73.
... the square on BC is to B the square on EF . A By similar triangles , we have ( Def . 3 ) Also , AB : DE :: BC : EF . BC : EF :: BC : EF D CE F Multiplying together the corresponding terms of these pro portions , BOOK IV . 73.
Andre utgaver - Vis alle
Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1877 |
Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1895 |
Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1886 |
Vanlige uttrykk og setninger
ABCD allel altitude angle ABC angle ACB angle BAC base bisected chord circle circumference cone convex surface cosine curve described diagonals diameter dicular divided draw ellipse equal angles equal to AC equiangular equilateral equivalent exterior angle figure foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect Join latus rectum less Let ABC logarithm major axis mean proportional meet multiplied number of sides opposite ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical triangle square subtangent tang tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 20 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Side 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
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 34 - ... therefore the angle ACB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel to BD.
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 159 - If 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 two triangles will be equal.
Side 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Side 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Side 151 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.