Elements of Geometry and Plane and Spherical Trigonometry: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1867 - 445 sider |
Inni boken
Resultat 1-5 av 21
Side 21
... angle ABD , and the angle ABC will be equal to ABE , ( Ax . 3 ) . That is , the line BE must coincide with BC , and ... vertical angles must be equal . If AB and CD intersect each other at E , we are to demonstrate that the angle AEC is ...
... angle ABD , and the angle ABC will be equal to ABE , ( Ax . 3 ) . That is , the line BE must coincide with BC , and ... vertical angles must be equal . If AB and CD intersect each other at E , we are to demonstrate that the angle AEC is ...
Side 22
... angle DEB is equal to its opposite AEC . In like manier , we may prove AED = CEB . Ilence the theorem ; if two lines intersect each other , the vertical angles must be equal . THEOREM V. If a straight line intersects two parallel lines ...
... angle DEB is equal to its opposite AEC . In like manier , we may prove AED = CEB . Ilence the theorem ; if two lines intersect each other , the vertical angles must be equal . THEOREM V. If a straight line intersects two parallel lines ...
Side 26
... angle GBE is equal to its opposite angle A. Produce EB to D , and GB to F ; then , since BD is par- E F allel to AG , and BF to AE , the angle DBF is equal to the angle A , ( Th . 8 ) . But the angles GBE and DBF , being vertical , are ...
... angle GBE is equal to its opposite angle A. Produce EB to D , and GB to F ; then , since BD is par- E F allel to AG , and BF to AE , the angle DBF is equal to the angle A , ( Th . 8 ) . But the angles GBE and DBF , being vertical , are ...
Side 56
... angle CDE , and the vertical angles at E are equal ; therefore , AE , the side opposite the angle ABE , is equal to CE , the side opposite the equal angle CDE ; also EB , the remaining side of the one A , is equal to ED , the remain ...
... angle CDE , and the vertical angles at E are equal ; therefore , AE , the side opposite the angle ABE , is equal to CE , the side opposite the equal angle CDE ; also EB , the remaining side of the one A , is equal to ED , the remain ...
Side 85
... vertical angle of a triangle be bisected , the bisecting line will cut the base into segments proportional to the adja- cent sides of the triangle . Let ABC be any triangle , and the vertical angle , C , be bi- sected by the straight ...
... vertical angle of a triangle be bisected , the bisecting line will cut the base into segments proportional to the adja- cent sides of the triangle . Let ABC be any triangle , and the vertical angle , C , be bi- sected by the straight ...
Andre utgaver - Vis alle
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... Horatio Nelson Robinson Uten tilgangsbegrensning - 1860 |
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... Horatio Nelson Robinson Uten tilgangsbegrensning - 1865 |
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... Horatio Nelson Robinson Uten tilgangsbegrensning - 1860 |
Vanlige uttrykk og setninger
ABCD altitude angle opposite axis bisected chord circle circumference circumscribed common cone convex surface cos.a cos.b cos.c Cosine Cotang diagonal diameter dicular difference distance divided draw equal angles equation equiangular equivalent find the angles formulæ four magnitudes frustum given line greater Hence the theorem homologous hypotenuse included angle inscribed intersect isosceles less Let ABC logarithm measured multiplied N.sine number of sides opposite angles parallelogram parallelopipedon pendicular perpen perpendicular plane ST polyedron PROBLEM produced Prop proportion PROPOSITION prove pyramid quadrantal radii radius rectangle regular polygon right angles right-angled spherical triangle right-angled triangle SCHOLIUM secant segment similar sin.a sin.b sin.c sine solid angles sphere SPHERICAL TRIGONOMETRY square straight line subtracting Tang tangent three angles three sides triangle ABC triangular prisms Trigonometry vertex vertical angle volume