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 86
Side 10
... sides F A , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal ( 1. 4. ) to the base GB , and the triangle AFC to the triangle AGB ; and ...
... sides F A , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal ( 1. 4. ) to the base GB , and the triangle AFC to the triangle AGB ; and ...
Side 11
... side of the base . Therefore the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one ano- ther , the sides also which ...
... side of the base . Therefore the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one ano- ther , the sides also which ...
Side 12
... side of it , which have their sides CA , DA , terminated in the extremity A of the base c equal to one another , and likewise their sides CB , DB , and are termi- nated in B. Join CD ; then , in the case in which the vertex of each of ...
... side of it , which have their sides CA , DA , terminated in the extremity A of the base c equal to one another , and likewise their sides CB , DB , and are termi- nated in B. Join CD ; then , in the case in which the vertex of each of ...
Side 13
... sides of the one shall be equal to the angle contained by the sides equal to them , of the other . Let A B C , DEF be two triangles having the two sides A B , A C , equal to the two sides , DE , DF , each to each , viz . AB to DE , and ...
... sides of the one shall be equal to the angle contained by the sides equal to them , of the other . Let A B C , DEF be two triangles having the two sides A B , A C , equal to the two sides , DE , DF , each to each , viz . AB to DE , and ...
Side 14
... sides which are terminated in one extremity of the base equal to one another , and likewise their sides terminated in the other ex- tremity : But this is impossible ( 1. 7. ) ; therefore , if the base BC coincides with the base EF ; the ...
... sides which are terminated in one extremity of the base equal to one another , and likewise their sides terminated in the other ex- tremity : But this is impossible ( 1. 7. ) ; therefore , if the base BC coincides with the base EF ; the ...
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The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
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