Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 σελίδες |
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Αποτελέσματα 1 - 5 από τα 83.
Σελίδα 17
... Hence , if two straight lines cut one another , the four angles formed at the point of intersection , are together equal to four right angles . Cor . 2. Hence , all the angles made by any number of straight lines meeting in one point ...
... Hence , if two straight lines cut one another , the four angles formed at the point of intersection , are together equal to four right angles . Cor . 2. Hence , all the angles made by any number of straight lines meeting in one point ...
Σελίδα 19
... hence AB is less than the sum of AC and BC . For the same reason , BC is less than the sum of AB and AC ; and AC less than the sum of AB and BC Therefore , any two sides , & c . PROPOSITION IX . THEOREM . If , from a point within a ...
... hence AB is less than the sum of AC and BC . For the same reason , BC is less than the sum of AB and AC ; and AC less than the sum of AB and BC Therefore , any two sides , & c . PROPOSITION IX . THEOREM . If , from a point within a ...
Σελίδα 20
... Hence AB is not unequal to AC , that is , it is equal to it . Therefore , if two angles , & c . Cor . Hence , every equiangular triangle is also equilateral . PROPOSITION XII . THEOREM . The greater side of every triangle is opposite to ...
... Hence AB is not unequal to AC , that is , it is equal to it . Therefore , if two angles , & c . Cor . Hence , every equiangular triangle is also equilateral . PROPOSITION XII . THEOREM . The greater side of every triangle is opposite to ...
Σελίδα 21
... hence ACB must be greater than ABC . Therefore , the greater side , & c . PROPOSITION XIII . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , but the included angles unequal , the ...
... hence ACB must be greater than ABC . Therefore , the greater side , & c . PROPOSITION XIII . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , but the included angles unequal , the ...
Σελίδα 23
... hence the two triangles are equal . Therefore , if two triangles , & c . Scholium . In equal triangles , the equal angles are oppo site to the equal sides ; thus , the equal angles A and D are opposite to the equal sides BC , EF ...
... hence the two triangles are equal . Therefore , if two triangles , & c . Scholium . In equal triangles , the equal angles are oppo site to the equal sides ; thus , the equal angles A and D are opposite to the equal sides BC , EF ...
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.