Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 σελίδες |
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Αποτελέσματα 1 - 5 από τα 68.
Σελίδα 14
... angles ABC , ABD ; these are either two right angles , or are to- gether equal to two right angles . For if the angle ABC is equal to ABD , ch of them is a right angle ( Def 10 ) ; but C B B D if not , suppose the line BE to 14 GEC METRY .
... angles ABC , ABD ; these are either two right angles , or are to- gether equal to two right angles . For if the angle ABC is equal to ABD , ch of them is a right angle ( Def 10 ) ; but C B B D if not , suppose the line BE to 14 GEC METRY .
Σελίδα 15
... angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . To each of these equals add the angle ABD ... ABC , ABD are together equal to two right angles . Therefore , the angles which one straight line , & c . Corollary ...
... angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . To each of these equals add the angle ABD ... ABC , ABD are together equal to two right angles . Therefore , the angles which one straight line , & c . Corollary ...
Σελίδα 16
... angle ABC , and the remaining angle ABE , is equal ( Axiom 3 ) to the remain- ing angle ABD , the less to the greater , which is impossible . Hence BE is not in the same straight line with BC ; and in like manner , it may be proved that ...
... angle ABC , and the remaining angle ABE , is equal ( Axiom 3 ) to the remain- ing angle ABD , the less to the greater , which is impossible . Hence BE is not in the same straight line with BC ; and in like manner , it may be proved that ...
Σελίδα 17
... angle A equal to the angle D ; then will the 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 ...
... angle A equal to the angle D ; then will the 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 ...
Σελίδα 18
... angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the an ge DFE . Therefore , if two triangles , & c . PROPOSITION VII . THEOREM . If two triangles have two angles , and the ...
... angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the an ge DFE . Therefore , if two triangles , & c . PROPOSITION VII . THEOREM . If two triangles have two angles , and the ...
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.