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 5
... angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a ...
... angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a ...
Página 6
... right angle . The side . opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . 23. An acute angled triangle , is that which has three acute angles ... angles right angles . 25 ...
... right angle . The side . opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . 23. An acute angled triangle , is that which has three acute angles ... angles right angles . 25 ...
Página 12
... angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC equal to the whole angle BGC . Since , then , the two ... right angles . COR . The sum of all the angles , formed on the same side of a straight line DC , is equal to two ...
... angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC equal to the whole angle BGC . Since , then , the two ... right angles . COR . The sum of all the angles , formed on the same side of a straight line DC , is equal to two ...
Página 14
... 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 . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce ...
... 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 . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce ...
Página 18
... right one , the angle ACB is acute , ( Th . 10. ) or less than the angle ABC . But the less angle of a triangle is subtended by the less side ( Th . 12. ) ; therefore , the side AB is less ... right angles B and E are equal , 18 ELEMENTS.
... right one , the angle ACB is acute , ( Th . 10. ) or less than the angle ABC . But the less angle of a triangle is subtended by the less side ( Th . 12. ) ; therefore , the side AB is less ... right angles B and E are equal , 18 ELEMENTS.
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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 |