The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 30
... construction of Hadley's sextant . The construction of the diagonal scale depends upon this property . bisection two and two be joined , four triangles will 30 EUCLID'S ELEMENTS . Exercises on Book I.
... construction of Hadley's sextant . The construction of the diagonal scale depends upon this property . bisection two and two be joined , four triangles will 30 EUCLID'S ELEMENTS . Exercises on Book I.
Seite 31
... construction . ( 8 ) Given two rectilinear angles to construct angles equal to half their sum and half their difference . 22. If an angle of a triangle be two - thirds of a right angle , and the sides containing it equal , the triangle ...
... construction . ( 8 ) Given two rectilinear angles to construct angles equal to half their sum and half their difference . 22. If an angle of a triangle be two - thirds of a right angle , and the sides containing it equal , the triangle ...
Seite 49
... construction being made , because EA , EB from the centre are equal ( 15 Def . 1. ) to one another , the angle EAF is equal ( 5. 1. ) to the angle EBF ; and the right angle AFE is equal to the right angle BFE therefore , in the two ...
... construction being made , because EA , EB from the centre are equal ( 15 Def . 1. ) to one another , the angle EAF is equal ( 5. 1. ) to the angle EBF ; and the right angle AFE is equal to the right angle BFE therefore , in the two ...
Seite 55
... construction being made , it may , as before , be demon- strated , that AB is double of AF , and CD double of CG , and that the squares of EF , FA are equal to the squares of EG , GC ; of which the square of FE is equal to the square of ...
... construction being made , it may , as before , be demon- strated , that AB is double of AF , and CD double of CG , and that the squares of EF , FA are equal to the squares of EG , GC ; of which the square of FE is equal to the square of ...
Seite 56
... construction being made , EH is less than EK . Because BC is greater than FG , BH likewise is greater than KF ; and the squares of BH , HE are equal to the squares of FK , KE , of which the square of BH is greater than the square of FK ...
... construction being made , EH is less than EK . Because BC is greater than FG , BH likewise is greater than KF ; and the squares of BH , HE are equal to the squares of FK , KE , of which the square of BH is greater than the square of FK ...
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ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore