The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 1
... . DEFINITIONS . 1. A POINT is that which hath no parts , or which hath no magnitude . 2. A line is length without breadth . 3. The extremities of a line are points . 4. A straight line is that which lies evenly between its extreme points .
... . DEFINITIONS . 1. A POINT is that which hath no parts , or which hath no magnitude . 2. A line is length without breadth . 3. The extremities of a line are points . 4. A straight line is that which lies evenly between its extreme points .
Seite 4
... given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3 ... point A to B draw ( 1 Post 4 EUCLID'S ELEMENTS .
... given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3 ... point A to B draw ( 1 Post 4 EUCLID'S ELEMENTS .
Seite 5
... point B is the centre of the circle CGH , BC is equal ( 15 Def . ) to BG ; D K H L C E And because D is the centre ... given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done ...
... point B is the centre of the circle CGH , BC is equal ( 15 Def . ) to BG ; D K H L C E And because D is the centre ... given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done ...
Seite 9
Royal Military Academy, Woolwich. PROPOSITION IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB ...
Royal Military Academy, Woolwich. PROPOSITION IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB ...
Seite 10
... a right ( 10 Def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . COR . By help ...
... a right ( 10 Def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . COR . By help ...
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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