The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second EditionCharles Henry Law, 1854 - 120 σελίδες |
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Σελίδα 14
... divided into two equal parts in the point D. Which was to be done . PROP . XI.- -- PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a ...
... divided into two equal parts in the point D. Which was to be done . PROP . XI.- -- PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a ...
Σελίδα 32
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And by the preceding proposition , all the angles of these triangles are equal to twice as many ...
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And by the preceding proposition , all the angles of these triangles are equal to twice as many ...
Σελίδα 47
... divided into any number of parts , the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let 4 and BC be two straight lines ; and let ...
... divided into any number of parts , the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let 4 and BC be two straight lines ; and let ...
Σελίδα 48
... divided into any two parts , the rectangles contained by the whole and each of the parts are together equal to the square of the whole line . Let the straight line AB be divided into any two parts in the point C ; the rectangle ...
... divided into any two parts , the rectangles contained by the whole and each of the parts are together equal to the square of the whole line . Let the straight line AB be divided into any two parts in the point C ; the rectangle ...
Σελίδα 49
... divided into any two parts , the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts , together with the square of the aforesaid part . Let the straight line AB be divided into any ...
... divided into any two parts , the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts , together with the square of the aforesaid part . Let the straight line AB be divided into any ...
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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