The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a dia- meter and the part of the ...
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a dia- meter and the part of the ...
Page 6
... centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
... centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
Page 8
... centre A , at the * Pos- distance AB , describe * the tulate . circle BCD , and from the centre B , at the distance BA , D A BE describe the circle ACE ; and from the point C , in which the circles cut one another , * 1 Post . draw the ...
... centre A , at the * Pos- distance AB , describe * the tulate . circle BCD , and from the centre B , at the distance BA , D A BE describe the circle ACE ; and from the point C , in which the circles cut one another , * 1 Post . draw the ...
Page 9
... centre D , at the distance DG , describe the circle GKL , AL shall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal to BG ; and because D is the centre of the circle ( KL , DL is equal to DG ; and ↑ DA ...
... centre D , at the distance DG , describe the circle GKL , AL shall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal to BG ; and because D is the centre of the circle ( KL , DL is equal to DG ; and ↑ DA ...
Page 17
... ways , and let C be a point with- out it . It is required to draw a straight line perpendicular to AB from the point C. Take any point D upon the H B other side of AB , and from the centre C c 3 BOOK I. PROP . XII . 17 * ...
... ways , and let C be a point with- out it . It is required to draw a straight line perpendicular to AB from the point C. Take any point D upon the H B other side of AB , and from the centre C c 3 BOOK I. PROP . XII . 17 * ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole