The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 6-10 av 19
Side 20
Euclides Thomas Tate. be demonstrated that the angles CE B , AED are equal . Therefore if two straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two ... demonstrated that the angle BCG 20 EUCLID'S ELEMENTS .
Euclides Thomas Tate. be demonstrated that the angles CE B , AED are equal . Therefore if two straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two ... demonstrated that the angle BCG 20 EUCLID'S ELEMENTS .
Side 21
... demonstrated , that BAC , AC B , as also CAB , ABC , are less than two right , angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater angle . Let A B C be ...
... demonstrated , that BAC , AC B , as also CAB , ABC , are less than two right , angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater angle . Let A B C be ...
Side 23
... demonstrated , that the sides A B , B C are greater than CA , and B C , CA greater than a B. Therefore any two sides , & c . Q. E. D. PROP . XXI . THEOR . If , from the ends of the side of a triangle , there be drawn two straight lines ...
... demonstrated , that the sides A B , B C are greater than CA , and B C , CA greater than a B. Therefore any two sides , & c . Q. E. D. PROP . XXI . THEOR . If , from the ends of the side of a triangle , there be drawn two straight lines ...
Side 24
... demonstrated that the angle BDC is greater than the angle CE B ; much more then is the angle BDC greater than the angle ВАС . Therefore , if from the ends of , & c . Q. E. D. PROP . XXII . PROB . To make a triangle of which the sides ...
... demonstrated that the angle BDC is greater than the angle CE B ; much more then is the angle BDC greater than the angle ВАС . Therefore , if from the ends of , & c . Q. E. D. PROP . XXII . PROB . To make a triangle of which the sides ...
Side 30
... demonstrated that they do not meet to- wards AC ; but those straight lines which meet neither way , though produced ever so far , are par- allel ( Def . 35. ) to one another . AB therefore is parallel to CD . Wherefore if a straight ...
... demonstrated that they do not meet to- wards AC ; but those straight lines which meet neither way , though produced ever so far , are par- allel ( Def . 35. ) to one another . AB therefore is parallel to CD . Wherefore if a straight ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle