The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 65
... rectilineal figure . Let A be the given rectilineal figure : it is required to describe a square that shall be equal to A. Describe * the rectangular parallelogram * 45.1 . BCDE equal to the rectilineal figure A. Then if the sides of it ...
... rectilineal figure . Let A be the given rectilineal figure : it is required to describe a square that shall be equal to A. Describe * the rectangular parallelogram * 45.1 . BCDE equal to the rectilineal figure A. Then if the sides of it ...
Page 66
... figure A ; therefore the rectilineal figure A +1 Ax . is equal to the square of EH . Wherefore a square has been made equal to the given rectili- neal figure A , viz the square described upon EH . Which was to be done . 67 THE ELEMENTS ...
... figure A ; therefore the rectilineal figure A +1 Ax . is equal to the square of EH . Wherefore a square has been made equal to the given rectili- neal figure A , viz the square described upon EH . Which was to be done . 67 THE ELEMENTS ...
Page 106
... RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner a figure is said to ...
... RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner a figure is said to ...
Page 107
... rectilineal figure is said to be described about a circle , when each side of the circumscribed figure touches the circumference of the circle . V. In like manner , a circle is said to be inscribed in a rectilineal figure , when the ...
... rectilineal figure is said to be described about a circle , when each side of the circumscribed figure touches the circumference of the circle . V. In like manner , a circle is said to be inscribed in a rectilineal figure , when the ...
Page 167
... rectilineal I. figures are those which have their several angles equal , each to each , and the sides about the equal angles proportional . II . " Reciprocal figures , viz . triangles and parallelo- 66 grams , are such as have their ...
... rectilineal I. figures are those which have their several angles equal , each to each , and the sides about the equal angles proportional . II . " Reciprocal figures , viz . triangles and parallelo- 66 grams , are such as have their ...
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