The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 13
... a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Postulate . ) the cir- cle BCD , and from the centre ...
... a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Postulate . ) the cir- cle BCD , and from the centre ...
Side 14
... straight line AL is equal to BC . Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . FROM the greater of two given straight lines to cut off a ...
... straight line AL is equal to BC . Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . FROM the greater of two given straight lines to cut off a ...
Side 19
... given rectilineal angle , that is , to divide it into two equal angles . it ... straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bisected by the straight line AF , which was to ...
... given rectilineal angle , that is , to divide it into two equal angles . it ... straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bisected by the straight line AF , which was to ...
Side 20
... straight line AB is divided into two equal parts in the point D. Which was to be done . C A D B 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 AB is divided into two equal parts in the point D. Which was to be done . C A D B 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 ...
Side 21
... therefore two straight lines can- A not have a common segment . PROP . XII . PROB . E D B C C To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ...
... therefore two straight lines can- A not have a common segment . PROP . XII . PROB . E D B C C To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore