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 TrigonometryB. & S. Collins; W. E. Dean, printer, 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 angled triangle is that which has a right angle . The side opposite the right angle is called the hypotenuse ... angles . 24. Of four sided figures , a square is that which has all its sides equal and all its angles right angles ...
... right angled triangle is that which has a right angle . The side opposite the right angle is called the hypotenuse ... angles . 24. Of four sided figures , a square is that which has all its sides equal and all its angles right angles ...
Página 12
... angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC ... right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it ...
... angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC ... right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it ...
Página 14
... angles CBA , BAC . Join B and E the middle point of the line AC , and produce BE to F , and make EF equal to BE ... right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to ...
... angles CBA , BAC . Join B and E the middle point of the line AC , and produce BE to F , and make EF equal to BE ... right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to ...
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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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 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