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
... quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so on . 18. Of three sided figures , an equilateral triangle is that which has three equal sides . 19. An isosceles triangle is that which has only two sides ...
... quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so on . 18. Of three sided figures , an equilateral triangle is that which has three equal sides . 19. An isosceles triangle is that which has only two sides ...
Página 24
... quadrilateral is equal to two right angles multiplied by 4 — 2 , which amounts to four right angles ; hence , if all the angles of a quadrilateral are equal , each of them will be a right an- gle ; a conclusion which sanctions the ...
... quadrilateral is equal to two right angles multiplied by 4 — 2 , which amounts to four right angles ; hence , if all the angles of a quadrilateral are equal , each of them will be a right an- gle ; a conclusion which sanctions the ...
Página 25
... quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its ...
... quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its ...
Página 71
... quadrilateral figure inscribed in a circle , are together equal to two right angles . D Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles . Join AC , BD . The ...
... quadrilateral figure inscribed in a circle , are together equal to two right angles . D Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles . Join AC , BD . The ...
Página 72
... quadrilateral be produced , the exterior angle will be equal to the interior opposite angle . COR . 2. It follows , likewise , that a quadrilateral , of which the opposite angles are not equal to two right angles , cannot be inscribed ...
... quadrilateral be produced , the exterior angle will be equal to the interior opposite angle . COR . 2. It follows , likewise , that a quadrilateral , of which the opposite angles are not equal to two right angles , cannot be inscribed ...
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