Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 páginas |
Dentro del libro
Resultados 1-5 de 58
Página 17
... triangle ABC be equal to the triangle DEF B A CE F For , if the triangle ABC is ap- plied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE , the point B will coincide with the point E , because AB ...
... triangle ABC be equal to the triangle DEF B A CE F For , if the triangle ABC is ap- plied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE , the point B will coincide with the point E , because AB ...
Página 18
... ABC to the angle DEF , and the angle ACB to the an ge DFE . Therefore , if two triangles , & c . PROPOSITION VII ... triangle ABC be equal to the triangle DEF . CE F For , if the triangle ABC is applied to the triangle DEF , su that the ...
... ABC to the angle DEF , and the angle ACB to the an ge DFE . Therefore , if two triangles , & c . PROPOSITION VII ... triangle ABC be equal to the triangle DEF . CE F For , if the triangle ABC is applied to the triangle DEF , su that the ...
Página 19
... triangle , two straight lines are lrawn to the extremities of either side , their sum will be less han the sum of the other two sides of the triangle . Let the two straight lines BD , CD be drawn from D , a point within the triangle ABC ...
... triangle , two straight lines are lrawn to the extremities of either side , their sum will be less han the sum of the other two sides of the triangle . Let the two straight lines BD , CD be drawn from D , a point within the triangle ABC ...
Página 20
... triangle bisects the base at right angles ; and , conversely , the line bisecting the base of an isosceles triangle ... ABC be a triangle having the angle ABC equal to the angle ACB ; then will the side AB be equal to the side AC . B D ...
... triangle bisects the base at right angles ; and , conversely , the line bisecting the base of an isosceles triangle ... ABC be a triangle having the angle ABC equal to the angle ACB ; then will the side AB be equal to the side AC . B D ...
Página 21
... ABC . For if ACB is not greater than ABC , it must be either equal to it ... triangles have two sides of the one equal to two sides of the other , each to each ... triangle EFG , because the angle EFG is greater than EGF , and because the ...
... ABC . For if ACB is not greater than ABC , it must be either equal to it ... triangles have two sides of the one equal to two sides of the other , each to each ... triangle EFG , because the angle EFG is greater than EGF , and because the ...
Otras ediciones - Ver todas
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Página 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.