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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 24
... four right an- gles ; therefore all the exte- A C D B rior angles are equal to four right angles . COR . 2. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles ...
... four right an- gles ; therefore all the exte- A C D B rior angles are equal to four right angles . COR . 2. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles ...
Página 102
... four magnitudes are continual proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five ...
... four magnitudes are continual proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five ...
Página 159
... four right angles , that the arc AB is of the circumference ABD ( 33. 6. ) ; and the angle GOH is the same part of four right angles , that the arc GH is of the cir- cumference GHK ( 33. 6. ) , therefore the angles ANB , GOH are each of ...
... four right angles , that the arc AB is of the circumference ABD ( 33. 6. ) ; and the angle GOH is the same part of four right angles , that the arc GH is of the cir- cumference GHK ( 33. 6. ) , therefore the angles ANB , GOH are each of ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC 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 wherefore