Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 44.
Σελίδα 19
... bisected by the straight line AD ; then , in the two trian- gles ABD , ACD , two sides AB , AD , and the in- cluded angle in the one , are equal to the two B D sides AC , AD , and the included angle in the other ; there- fore ( Prop ...
... bisected by the straight line AD ; then , in the two trian- gles ABD , ACD , two sides AB , AD , and the in- cluded angle in the one , are equal to the two B D sides AC , AD , and the included angle in the other ; there- fore ( Prop ...
Σελίδα 20
... bisecting the vertical angle of an isosceles triangle bisects the base at right angles ; and , conversely , the line bisecting the base of an isosceles triangle at right angles bisects also the vertical angle . Cor . 2. Every ...
... bisecting the vertical angle of an isosceles triangle bisects the base at right angles ; and , conversely , the line bisecting the base of an isosceles triangle at right angles bisects also the vertical angle . Cor . 2. Every ...
Σελίδα 34
... bisect each other Let ABDC be a parallelogram whose di- agonals , AD , BC , intersect each other in E ; then will AE be equal to ED , and BE to EC . A C B E Because the alternate angles ABE , ECD are equal ( Prop . XXIII . ) , and also ...
... bisect each other Let ABDC be a parallelogram whose di- agonals , AD , BC , intersect each other in E ; then will AE be equal to ED , and BE to EC . A C B E Because the alternate angles ABE , ECD are equal ( Prop . XXIII . ) , and also ...
Σελίδα 48
... bisected in D , and the arc AEB will be bisected in E. Draw the radii CA , CB . The two right- angled triangles CDA , CDB have the side AC equal to CB , and CD common ; there- A fore the triangles are equal , and the base AD is equal to ...
... bisected in D , and the arc AEB will be bisected in E. Draw the radii CA , CB . The two right- angled triangles CDA , CDB have the side AC equal to CB , and CD common ; there- A fore the triangles are equal , and the base AD is equal to ...
Σελίδα 49
... bisect these lines by the perpendiculars DF , EF ; DF and EF produced wil meet one another . For , join DE ; then , because the angles ADF , AEF are together equal to two right an- gles , the angles FDE and FED are to- gether less than ...
... bisect these lines by the perpendiculars DF , EF ; DF and EF produced wil meet one another . For , join DE ; then , because the angles ADF , AEF are together equal to two right an- gles , the angles FDE and FED are to- gether less than ...
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.