The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 1
... which any two points being taken , the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to B 4 P 86 one another in a plane , which meet together 4 ...
... which any two points being taken , the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to B 4 P 86 one another in a plane , which meet together 4 ...
Page 6
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remain- ders are unequal . VI . Things which are double of the same , EUCLID'S ...
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remain- ders are unequal . VI . Things which are double of the same , EUCLID'S ...
Page 7
... taken together less than " two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles " which are less than two right angles . " See the notes on Prop . xxix . of ...
... taken together less than " two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles " which are less than two right angles . " See the notes on Prop . xxix . of ...
Page 70
... taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the ...
... taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the ...
Page 74
... taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumfer- ence , the greatest is that in which the centre is , and the other part of that diameter is the least and ...
... taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumfer- ence , the greatest is that in which the centre is , and the other part of that diameter is the least and ...
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