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 |
Dentro del libro
Resultados 1-5 de 46
Página 6
... triangle is that which has three unequal sides . 21. A right angled triangle is that which has a right angle . The side opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle ...
... triangle is that which has three unequal sides . 21. A right angled triangle is that which has a right angle . The side opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle ...
Página 18
... triangle is subtended by the less side ( Th . 12. ) ; therefore , the side ... angled triangle , are respectively equal to the hypotenuse and one side of another ; the two right angled trian ... right angles B and E are equal , 18 ELEMENTS.
... triangle is subtended by the less side ( Th . 12. ) ; therefore , the side ... angled triangle , are respectively equal to the hypotenuse and one side of another ; the two right angled trian ... right angles B and E are equal , 18 ELEMENTS.
Página 23
... right angles . COR . 1. Two angles of a triangle being given , or merely their sum , the third will be found by ... angled triangle , the sum of the two acute an- gles is equal to one right angle . COR . 5. Since every equilateral ...
... right angles . COR . 1. Two angles of a triangle being given , or merely their sum , the third will be found by ... angled triangle , the sum of the two acute an- gles is equal to one right angle . COR . 5. Since every equilateral ...
Página 30
... triangle ABC is equal ( 28. 1. ) to the triangle ADC ; And because EKHA is a ... right angled triangle , the square which is described upon the side sub ... angle DBC is equal to the angle 30 ELEMENTS.
... triangle ABC is equal ( 28. 1. ) to the triangle ADC ; And because EKHA is a ... right angled triangle , the square which is described upon the side sub ... angle DBC is equal to the angle 30 ELEMENTS.
Página 31
... triangle ABD to the triangle FBC . But the parallelogram BL is double ( 35. 1. ) of the triangle ABD , because they ... right angled triangle is equivalent to the square of the hypotenuse diminished by the square of the other side ...
... triangle ABD to the triangle FBC . But the parallelogram BL is double ( 35. 1. ) of the triangle ABD , because they ... right angled triangle is equivalent to the square of the hypotenuse diminished by the square of the other side ...
Otras ediciones - Ver todas
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 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