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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 sider |
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Resultat 6-10 av 44
Side 86
... equilateral and equiangular , is called a regular polygon . Regular polygons may have any number of sides ; the equilateral tri- angle is one of three sides ; and the square is one of four sides . LEMMA . Any regular polygon may be ...
... equilateral and equiangular , is called a regular polygon . Regular polygons may have any number of sides ; the equilateral tri- angle is one of three sides ; and the square is one of four sides . LEMMA . Any regular polygon may be ...
Side 87
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is re- quired to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( Prob . 2. 3. ) the straight line GAH ...
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is re- quired to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( Prob . 2. 3. ) the straight line GAH ...
Side 88
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given triangle . Let ABC be the given circle and DEF the given triangle ; it is ...
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given triangle . Let ABC be the given circle and DEF the given triangle ; it is ...
Side 89
... equiangular to the triangle DEF : And it is described about the circle ABC . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . A E D Bisect ( Prob ...
... equiangular to the triangle DEF : And it is described about the circle ABC . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . A E D Bisect ( Prob ...
Side 94
... equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle FGH , having each of the angles ...
... equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle FGH , having each of the angles ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP 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