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
... opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . 23. An acute angled triangle , is that which has three acute angles . 24. Of four sided figures , a square is that ...
... opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . 23. An acute angled triangle , is that which has three acute angles . 24. Of four sided figures , a square is that ...
Página 7
... opposite sides pa- rallel , but all its sides are not equal , nor its 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 ...
... opposite sides pa- rallel , but all its sides are not equal , nor its 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 ...
Página 9
... opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB . to DFE . B A E D F For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line ...
... opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB . to DFE . B A E D F For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line ...
Página 10
... opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di- vided into two equal parts by the line CD , mak- ing the angle ACD ...
... opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di- vided into two equal parts by the line CD , mak- ing the angle ACD ...
Página 11
... opposite to the equal sides ; namely , the angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . A B с E F G For , conceive the two triangles to be joined together by their longest equal sides ; that is , having ...
... opposite to the equal sides ; namely , the angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . A B с E F G For , conceive the two triangles to be joined together by their longest equal sides ; that is , having ...
Otras ediciones - Ver todas
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