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 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
... right one , the angle ACB is acute , ( Th . 10. ) or less than the angle ABC . But the less angle of a triangle is ... angled triangle , are respectively equal to the hypotenuse and one side of another ; the two right angled trian ...
... right one , the angle ACB is acute , ( Th . 10. ) or less than the angle ABC . But the less angle of a triangle is ... angled triangle , are respectively equal to the hypotenuse and one side of another ; the two right angled trian ...
Página 23
... right angles ; therefore also the angles CBA , BAC , ACB are equal to two right angles . COR . 1. Two angles of a ... triangle will be expressed by of one right angle . PROP . XXVI . THEOR . All the interior angles of any rectilineal ...
... right angles ; therefore also the angles CBA , BAC , ACB are equal to two right angles . COR . 1. Two angles of a ... triangle will be expressed by of one right angle . PROP . XXVI . THEOR . All the interior angles of any rectilineal ...
Página 30
... triangle ABC is equal ( 28. 1. ) to the triangle ADC ; And because EKHA is a parallelogram , and AK its diameter ... right angled triangle , the square which is described upon the side sub- tending the right angle , is equivalent to the ...
... triangle ABC is equal ( 28. 1. ) to the triangle ADC ; And because EKHA is a parallelogram , and AK its diameter ... right angled triangle , the square which is described upon the side sub- tending the right angle , is equivalent to the ...
Página 31
... triangles will be identical . If the PROP . XXXVIII . THEOR . square described upon one of the sides of a triangle , be equivalent to the squares described upon the other two sides of it ; the angle contained by these two sides is a right ...
... triangles will be identical . If the PROP . XXXVIII . THEOR . square described upon one of the sides of a triangle , be equivalent to the squares described upon the other two sides of it ; the angle contained by these two sides is a right ...
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