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 2
... Scholium is a remark or observation made on some foregoing propo- sition or premises . 13. An Hypothesis is a supposition assumed to be true , in order to argue from , or to found upon it the reasoning and demonstration of some pro ...
... Scholium is a remark or observation made on some foregoing propo- sition or premises . 13. An Hypothesis is a supposition assumed to be true , in order to argue from , or to found upon it the reasoning and demonstration of some pro ...
Página 10
... SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC equal to the angle BDC ; hence , these two are right angles : hence , the line bisecting the vertical angle of an isosceles ...
... SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC equal to the angle BDC ; hence , these two are right angles : hence , the line bisecting the vertical angle of an isosceles ...
Página 16
... 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 than BA + AC , or BA + AC > BC . PROP . XIV . THEOR . If from the ...
... 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 than BA + AC , or BA + AC > BC . PROP . XIV . THEOR . If from the ...
Página 21
... SCHOLIUM . The angles just spoken of , when compared with each other , assume dif- ferent names . BGH , GĦD , wẹ have already named interior angles on the same side ; AGH , GEC , have the same name ; AGH , GHD , are called alternate ...
... SCHOLIUM . The angles just spoken of , when compared with each other , assume dif- ferent names . BGH , GĦD , wẹ have already named interior angles on the same side ; AGH , GEC , have the same name ; AGH , GHD , are called alternate ...
Página 22
... SCHOLIUM . I A H D F The restriction of this proposition to the case where the side AB lies in the same direction with DF , and AC in the same direction with DE , is necessary ; because the angle CAI would have its sides parallel to ...
... SCHOLIUM . I A H D F The restriction of this proposition to the case where the side AB lies in the same direction with DF , and AC in the same direction with DE , is necessary ; because the angle CAI would have its sides parallel to ...
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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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |