Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 páginas |
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Página 24
... distances from the perpendicular , will be equal . 3d . Of any two oblique lines , that which is further from the perpendicular will be the longer . Let DE be the given straight line , and A any point without it . Draw AB per ...
... distances from the perpendicular , will be equal . 3d . Of any two oblique lines , that which is further from the perpendicular will be the longer . Let DE be the given straight line , and A any point without it . Draw AB per ...
Página 25
... distance of a point from a line , because it is shorter than any oblique ine . Cor . 2. It is impossible to draw three equal straight lines from the same point to a given straight line . PROPOSITION XVIII . THEOREM . If through the ...
... distance of a point from a line , because it is shorter than any oblique ine . Cor . 2. It is impossible to draw three equal straight lines from the same point to a given straight line . PROPOSITION XVIII . THEOREM . If through the ...
Página 30
... distance of the parallels at the point E , is equal to the line FH , which measures the distance of the same parallels at the point F. Therefore , two parallel straight lines , & c . PROPOSITION XXVI . THEOREM . Two angles are equal ...
... distance of the parallels at the point E , is equal to the line FH , which measures the distance of the same parallels at the point F. Therefore , two parallel straight lines , & c . PROPOSITION XXVI . THEOREM . Two angles are equal ...
Página 49
... distances FA , FB , FC are all equal ; hence the circumfe- rence described from the center F with the radius FA will pass through the three given points A , B , C. A Secondly . No other circumference can pass through the same points ...
... distances FA , FB , FC are all equal ; hence the circumfe- rence described from the center F with the radius FA will pass through the three given points A , B , C. A Secondly . No other circumference can pass through the same points ...
Página 52
... distance of their centers must be equal to the sum or difference of their radu . It is plain that the centers of the circles and the point of F -D G B D F G contact are in the same straight line ; for , if possible , et the point of ...
... distance of their centers must be equal to the sum or difference of their radu . It is plain that the centers of the circles and the point of F -D G B D F G contact are in the same straight line ; for , if possible , et the point of ...
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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.