The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 1-5 of 38
Page 16
... divided into two equal parts in the point D. Which was to be done . PROP . XI . PROB . 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 point ...
... divided into two equal parts in the point D. Which was to be done . PROP . XI . PROB . 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 point ...
Page 34
... 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 ...
... 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 ...
Page 50
... divided line . Let A and BC be two straight lines ; and let BC be divided into any parts in the points D , E the rectangle contained by the straight lines A , BC shall be equal to the rectangle contained by A , BD , together with that ...
... divided line . Let A and BC be two straight lines ; and let BC be divided into any parts in the points D , E the rectangle contained by the straight lines A , BC shall be equal to the rectangle contained by A , BD , together with that ...
Page 51
... 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 ...
... 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 ...
Page 52
... divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . Let the straight line AB be divided into any two parts in C ; the square of ...
... divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . Let the straight line AB be divided into any two parts in C ; the square of ...
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