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 16
... sides AB , BC are greater than CA , and BC , CA greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest distance from B to C ; therefore BC is less ...
... sides AB , BC are greater than CA , and BC , CA greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest distance from B to C ; therefore BC is less ...
Página 31
... side BC is equal to the squares upon the sides BA , AC . COR . 1. Hence , the square of one of the sides of a right angled triangle is equivalent to the square of the hypotenuse diminished by the square of the other side ; which is thus ...
... side BC is equal to the squares upon the sides BA , AC . COR . 1. Hence , the square of one of the sides of a right angled triangle is equivalent to the square of the hypotenuse diminished by the square of the other side ; which is thus ...
Página 86
... sides are called pentagons ; those of six sides , hexa- gons ; those of seven sides , heptagons ; those of eight sides , octagons ; and so on . 8. A polygon , which is at once equilateral and equiangular , is called a regular polygon ...
... sides are called pentagons ; those of six sides , hexa- gons ; those of seven sides , heptagons ; those of eight sides , octagons ; and so on . 8. A polygon , which is at once equilateral and equiangular , is called a regular polygon ...
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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