Elements of Geometry and TrigonometryWiley & Long, 1836 - 359 sider |
Inni boken
Resultat 1-5 av 33
Side 31
... ABCD- FG , be produced , in the same direction ; then will the sum of the exterior angles a + b + c + d + f + g , be equal to four right angles . A a D C B / For , each interior angle , plus its ex- terior angle , as .A + a , is equal ...
... ABCD- FG , be produced , in the same direction ; then will the sum of the exterior angles a + b + c + d + f + g , be equal to four right angles . A a D C B / For , each interior angle , plus its ex- terior angle , as .A + a , is equal ...
Side 32
... ABCD be a parallelogram : then will D AB = DC , AD = BC , A = C , and ADC = ABC . B For , draw the diagonal BD . The triangles ABD , DBC , have a common side BD ; and A since AD , BC , are parallel , they have also the angle ADB DBC ...
... ABCD be a parallelogram : then will D AB = DC , AD = BC , A = C , and ADC = ABC . B For , draw the diagonal BD . The triangles ABD , DBC , have a common side BD ; and A since AD , BC , are parallel , they have also the angle ADB DBC ...
Side 33
... ABCD is a parallelogram . - PROPOSITION XXXI . THEOREM . The two diagonals of a parallelogram divide each other into equal parts , or mutually bisect each other . Let ABCD be a parallelogram , AC and B DB its diagonals , intersecting at ...
... ABCD is a parallelogram . - PROPOSITION XXXI . THEOREM . The two diagonals of a parallelogram divide each other into equal parts , or mutually bisect each other . Let ABCD be a parallelogram , AC and B DB its diagonals , intersecting at ...
Side 55
... ABCD , are to- gether equal to two right angles : for the an- gle BAD is measured by half the arc BCD , the angle BCD is measured by half the arc BAD ; hence the two angles BAD , BCD , ta- ken together , are measured by the half of the ...
... ABCD , are to- gether equal to two right angles : for the an- gle BAD is measured by half the arc BCD , the angle BCD is measured by half the arc BAD ; hence the two angles BAD , BCD , ta- ken together , are measured by the half of the ...
Side 69
... ABCD , ABEF : and since they are sup- posed to have the same altitude , their upper bases DC , FE , will be both ... ABCD . Hence these two parallelograms ABCD , ABEF , which have BOOK IV . 69.
... ABCD , ABEF : and since they are sup- posed to have the same altitude , their upper bases DC , FE , will be both ... ABCD . Hence these two parallelograms ABCD , ABEF , which have BOOK IV . 69.
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
adjacent altitude angle ACB ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment side BC similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex
Populære avsnitt
Side 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 233 - It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure.
Side 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Side 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Side 225 - B) = cos A cos B — sin A sin B, (6a) cos (A — B) = cos A cos B + sin A sin B...
Side 20 - In an isosceles triangle the angles opposite the equal sides are equal.
Side 86 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 159 - S-o6c be the smaller : and suppose Aa to be the altitude of a prism, which having ABC for its base, is equal to their difference. Divide the altitude AT into equal parts Ax, xy, yz, &c. each less than Aa, and let k be one of those parts ; through the points of division...
Side 168 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.