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 9
... wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it ...
... wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it ...
Página 15
... wherefore much more is the angle ABC greater than ACB . PROP . XII . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC ...
... wherefore much more is the angle ABC greater than ACB . PROP . XII . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC ...
Página 26
... wherefore the two triangles ABC , CBD have two angles ABC , BCA in one , equal A B C D to two angles BCD , CBD in the other , each to each , and the side BC , which is adjacent to these equal angles , common to the two triangles ...
... wherefore the two triangles ABC , CBD have two angles ABC , BCA in one , equal A B C D to two angles BCD , CBD in the other , each to each , and the side BC , which is adjacent to these equal angles , common to the two triangles ...
Página 27
... wherefore AD is equal ( 1. Ax . ) to EF ; and DE is com- mon ; therefore the whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; now AB is also equal to DC ; therefore the two EA , AB are equal ...
... wherefore AD is equal ( 1. Ax . ) to EF ; and DE is com- mon ; therefore the whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; now AB is also equal to DC ; therefore the two EA , AB are equal ...
Página 29
... ) of the trian- gle ABC , because the diameter AC divides A B D E C it into two equal parts ; wherefore ABCD is also double of the triangle EBC . PROP . XXXVI . THEOR . The complements of the OF GEOMETRY . BOOK I. 29.
... ) of the trian- gle ABC , because the diameter AC divides A B D E C it into two equal parts ; wherefore ABCD is also double of the triangle EBC . PROP . XXXVI . THEOR . The complements of the OF GEOMETRY . BOOK I. 29.
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