Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryJ.B. Lippincott, 1857 - 317 σελίδες |
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Σελίδα 9
... angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a ...
... angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a ...
Σελίδα 10
... right angled triangle is that which has a right angle . 23. An obtuse angled triangle is that which has an obtuse angle . 24. An acute angled triangle is that which has three acute angles ... angles right angles . 44 26. An oblong is that ...
... right angled triangle is that which has a right angle . 23. An obtuse angled triangle is that which has an obtuse angle . 24. An acute angled triangle is that which has three acute angles ... angles right angles . 44 26. An oblong is that ...
Σελίδα 11
... angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . 1 ...
... angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . 1 ...
Σελίδα 18
... right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is requi- red to draw a straight line from the point C at right angles to AB . F Take any point D ...
... right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is requi- red to draw a straight line from the point C at right angles to AB . F Take any point D ...
Σελίδα 19
... right angles , or are together equal to two right angles . For , if the angle CBA be equal to ABD , each of them is a right angle ( Def . 7. ) ; but , if not , from the point B draw BE at right angles ( 11. 1. ) E A D B D B to CD ; ...
... right angles , or are together equal to two right angles . For , if the angle CBA be equal to ABD , each of them is a right angle ( Def . 7. ) ; but , if not , from the point B draw BE at right angles ( 11. 1. ) E A D B D B to CD ; ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore