The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Euclides. LONDON PRINTED BY SPOTTISWOODE AND CO . NEW - STREET SQUARE OF EUCLID ( THE PARTS USUALLY READ IN THE UNIVERSITIES.
Euclides. LONDON PRINTED BY SPOTTISWOODE AND CO . NEW - STREET SQUARE OF EUCLID ( THE PARTS USUALLY READ IN THE UNIVERSITIES.
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... angled triangle is that which has an obtuse angle : XXIX . An acute - angled triangle is that which has three acute angles . Of four - sided figures , XXX . A square B 2 BOOK I. XVI. And this point is called the centre of ...
... angled triangle is that which has an obtuse angle : XXIX . An acute - angled triangle is that which has three acute angles . Of four - sided figures , XXX . A square B 2 BOOK I. XVI. And this point is called the centre of ...
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Euclides. Of four - sided figures , XXX . A square is that which has all its sides equal , and all its angles right angles : XXXI . An oblong is that which has all its angles right angles , but not all its sides equal : xxxn . A rhombus ...
Euclides. Of four - sided figures , XXX . A square is that which has all its sides equal , and all its angles right angles : XXXI . An oblong is that which has all its angles right angles , but not all its sides equal : xxxn . A rhombus ...
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... square ( Dɛf . 30 ) , and it is described upon the given straight line AB . Q. E. F. COR . Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . In any right - angled triangle , the ...
... square ( Dɛf . 30 ) , and it is described upon the given straight line AB . Q. E. F. COR . Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . In any right - angled triangle , the ...
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... square described upon the side BC is equal to the squares described upon BA , AC . On BC describe the square BDEC ( 1. 46 ) , and on BA , AC the squares GB , HC ; and through A draw AL parallel to BD or CE , and join AD , FC . F D L H K ...
... square described upon the side BC is equal to the squares described upon BA , AC . On BC describe the square BDEC ( 1. 46 ) , and on BA , AC the squares GB , HC ; and through A draw AL parallel to BD or CE , and join AD , FC . F D L H K ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore