The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 páginas |
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Página 62
... rectilineal figure . Let A be the given rectilineal figure ; it is required to describe a square that shall be equal to 4 . Describe ( I. 45. ) the rectangular parallelogram BCDE equal to the rectilineal figure 4. If then the sides of ...
... rectilineal figure . Let A be the given rectilineal figure ; it is required to describe a square that shall be equal to 4 . Describe ( I. 45. ) the rectangular parallelogram BCDE equal to the rectilineal figure 4. If then the sides of ...
Página 63
... rectilineal figure 4 ; therefore 6. The rectilineal figure A is equal to the square of EH . Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH . Which was to be done . EUCLID'S ...
... rectilineal figure 4 ; therefore 6. The rectilineal figure A is equal to the square of EH . Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH . Which was to be done . EUCLID'S ...
Página 93
... quadrilateral figure in a circle , ( III . 22. ) 6. The opposite angles BAD , BCD , are equal to two right angles ... rectilineal angle . Let AB be the given straight line , and the BOOK III . - PROP . XXXII . XXXIII . 93.
... quadrilateral figure in a circle , ( III . 22. ) 6. The opposite angles BAD , BCD , are equal to two right angles ... rectilineal angle . Let AB be the given straight line , and the BOOK III . - PROP . XXXII . XXXIII . 93.
Página 101
... rectilineal figure is said to be inscribed in another rectilineal figure , when all the angular points of the inscribed figure are upon the sides of the figure upon which it is inscribed , each upon each . II . In like manner , a figure ...
... rectilineal figure is said to be inscribed in another rectilineal figure , when all the angular points of the inscribed figure are upon the sides of the figure upon which it is inscribed , each upon each . II . In like manner , a figure ...
Página 102
... rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all the angular points ...
... rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all the angular points ...
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AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle