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 3
... manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition : thus , A ...
... manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition : thus , A ...
Página 9
... manner that the side BC may fall exactly on the equal side EF . Then , since the angle B is equal to the angle E ( by hyp . ) the side BA must fall on the side ED ; and , in like manner , because the angle C is equal to the angle F ...
... manner that the side BC may fall exactly on the equal side EF . Then , since the angle B is equal to the angle E ( by hyp . ) the side BA must fall on the side ED ; and , in like manner , because the angle C is equal to the angle F ...
Página 11
... , ( Th . 3. ) . In like manner , in the triangle ACG , the angle CAG is equal to the angle CGA , because the side AC is equal to CG or DF . Hence , then , the angle BAG being equal to the angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
... , ( Th . 3. ) . In like manner , in the triangle ACG , the angle CAG is equal to the angle CGA , because the side AC is equal to CG or DF . Hence , then , the angle BAG being equal to the angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Página 13
... manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical ...
... manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical ...
Página 14
... manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is ( 8. 1. ) the angle ACD , is greater than the angle ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles ...
... manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is ( 8. 1. ) the angle ACD , is greater than the angle ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles ...
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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 |