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 6
... called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a ...
... called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a ...
Página 7
... called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27. is a diagonal . 31. An equilateral polygon , is one which has all its sides equal ...
... called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27. is a diagonal . 31. An equilateral polygon , is one which has all its sides equal ...
Página 21
... called alternate interior angles , or simply alternate ; so also , are BGH , GHC : and lastly , EGB , GHD , or EGA , GHC , are called , respectively , the opposite exterior and interior angles ; and EGB , CHF , or AGE , DHF , the ...
... called alternate interior angles , or simply alternate ; so also , are BGH , GHC : and lastly , EGB , GHD , or EGA , GHC , are called , respectively , the opposite exterior and interior angles ; and EGB , CHF , or AGE , DHF , the ...
Página 30
... called the com- plements ; The complement BK is equal to the complement KD . H D E / K F B G Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 28. 1. ) to the triangle ADC ; And because EKHA is a ...
... called the com- plements ; The complement BK is equal to the complement KD . H D E / K F B G Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 28. 1. ) to the triangle ADC ; And because EKHA is a ...
Página 34
... called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . PROP . VII . PROB . To draw a ...
... called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . PROP . VII . PROB . To draw a ...
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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