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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 6
... four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so on . 18. Of three sided ... right angled triangle is that which has a right angle . The side . opposite the right angle is called the hypotenuse ...
... four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so on . 18. Of three sided ... right angled triangle is that which has a right angle . The side . opposite the right angle is called the hypotenuse ...
Página 7
... angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not ...
... angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not ...
Página 13
... angles CEB , AED are equal . COR . 1. From this it is manifest , that if two straight lines cut one ano- ther , the angles which they make at the point of their intersection , are to- gether equal to four right angles . COR . 2. And ...
... angles CEB , AED are equal . COR . 1. From this it is manifest , that if two straight lines cut one ano- ther , the angles which they make at the point of their intersection , are to- gether equal to four right angles . COR . 2. And ...
Página 21
... four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse angles ... right angles . SCHOLIUM . The angles just spoken of , when compared with each other , assume dif- ferent names . BGH ...
... four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse angles ... right angles . SCHOLIUM . The angles just spoken of , when compared with each other , assume dif- ferent names . BGH ...
Página 23
... angles CAB , ABC ; to these angles add the angle ACB , and the angles ACD , ACB are equal to the three angles CBĂ , BAC , ACB ; but the angles ACD , ACB are equal ( 6. 1. ) to two right ... four right angles . D For any rectilineal figure ...
... angles CAB , ABC ; to these angles add the angle ACB , and the angles ACD , ACB are equal to the three angles CBĂ , BAC , ACB ; but the angles ACD , ACB are equal ( 6. 1. ) to two right ... four right angles . D For any rectilineal figure ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
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 draw Prob 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