Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 σελίδες |
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Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 5
... contain , indeed , the essential part of an argument ; but the general student does not derive from them the high est benefit which may accrue from the study of Geometry as an exercise in reasoning . While , then , in the following ...
... contain , indeed , the essential part of an argument ; but the general student does not derive from them the high est benefit which may accrue from the study of Geometry as an exercise in reasoning . While , then , in the following ...
Σελίδα 10
... contained by the straight lines BC , CD , is called the angle BCD , or DCB . B E D Angles , like other quantities , may be added , subtracted , multiplied , or divided . Thus , the angle BCD is the sum of the two angles BCE , ECD ; and ...
... contained by the straight lines BC , CD , is called the angle BCD , or DCB . B E D Angles , like other quantities , may be added , subtracted , multiplied , or divided . Thus , the angle BCD is the sum of the two angles BCE , ECD ; and ...
Σελίδα 22
... contained by the sides of the other . Let ABC , DEF be two triangles having two sides of the one equal to two sides of the other , viz .: AB equal to DE , and AC to DF , but the base BC greater than the base EF ; then will the angle BAC ...
... contained by the sides of the other . Let ABC , DEF be two triangles having two sides of the one equal to two sides of the other , viz .: AB equal to DE , and AC to DF , but the base BC greater than the base EF ; then will the angle BAC ...
Σελίδα 30
... contain the angles are similarly situ- ated ; because , if we produce FE to H , the angle DEH has its sides parallel to those of the angle BAC ; but the two an- gles are not equal . PROPOSITION XXVII . THEOREM . If one side of a ...
... contain the angles are similarly situ- ated ; because , if we produce FE to H , the angle DEH has its sides parallel to those of the angle BAC ; but the two an- gles are not equal . PROPOSITION XXVII . THEOREM . If one side of a ...
Σελίδα 35
... contained an exact number of times in the preceding one . This last remainder will be the common measure of the proposed lines ; and regarding it as the meas uring unit , we may easily find the values of the preceding remainders , and ...
... contained an exact number of times in the preceding one . This last remainder will be the common measure of the proposed lines ; and regarding it as the meas uring unit , we may easily find the values of the preceding remainders , and ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Σελίδα 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.