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 12
... PROP . VI . 5 THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it the ...
... PROP . VI . 5 THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it the ...
Página 13
... PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical , or opposite angles are equal . Let the two straight lines AB , CD , cut one another in the point . E the angle AEC shall be equal to the angle DEB , and ...
... PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical , or opposite angles are equal . Let the two straight lines AB , CD , cut one another in the point . E the angle AEC shall be equal to the angle DEB , and ...
Página 15
... 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 is greater than the an- gle BCA ; the side AC is ...
... 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 is greater than the an- gle BCA ; the side AC is ...
Página 17
... PROP . XVI . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of the other ; the an- gle contained by the sides of that which has the ...
... PROP . XVI . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of the other ; the an- gle contained by the sides of that which has the ...
Página 18
... PROP . XVII . THEOR . A perpendicular is the shortest line that can be drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the same point on different sides of the perpendicular ...
... PROP . XVII . THEOR . A perpendicular is the shortest line that can be drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the same point on different sides of the perpendicular ...
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