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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 67
... perpendiculars drawn to them from the centre are equal . V. And the straight line on which the greater perpendicular falls , is faid to be farther from the centre . E 2 VI VI . Book III . A fegment of a circle OF EUCLID . 67.
... perpendiculars drawn to them from the centre are equal . V. And the straight line on which the greater perpendicular falls , is faid to be farther from the centre . E 2 VI VI . Book III . A fegment of a circle OF EUCLID . 67.
Side 82
... perpendicular to FA , and let it meet the circumference in H And because AGD is a right angle , and DAG lefs b than a right angle : DA is greater than DG : But DA is equal to DH ; therefore DH is greater than DG , : the less than the ...
... perpendicular to FA , and let it meet the circumference in H And because AGD is a right angle , and DAG lefs b than a right angle : DA is greater than DG : But DA is equal to DH ; therefore DH is greater than DG , : the less than the ...
Side 83
... perpendicular to the line touching the circle . Let the ftraight line DE touch the circle ABC in the point ; take the centre F , and draw the straight line FC : FC is perpendicular to DE . For , if it be not , from the point F draw FBG ...
... perpendicular to the line touching the circle . Let the ftraight line DE touch the circle ABC in the point ; take the centre F , and draw the straight line FC : FC is perpendicular to DE . For , if it be not , from the point F draw FBG ...
Side 84
... perpendicular to it befides FC , that is , FC is perpendicular to DE . Therefore , if a ftraight line , & c . Q.E. D. a 18.3 . I F B D C GE PROP . XIX . THEOR . F a straight line touches a circle , and from the point of contact a ...
... perpendicular to it befides FC , that is , FC is perpendicular to DE . Therefore , if a ftraight line , & c . Q.E. D. a 18.3 . I F B D C GE PROP . XIX . THEOR . F a straight line touches a circle , and from the point of contact a ...
Side 99
... perpendicular e to d 1. 3 . AC , and join EB , EC , ED : And because the straight line EF , e 12. I. which paffes through the centre , cuts the ftraight line AC , which does not pass through the centre , at right angles , it shall ...
... perpendicular e to d 1. 3 . AC , and join EB , EC , ED : And because the straight line EF , e 12. I. which paffes through the centre , cuts the ftraight line AC , which does not pass through the centre , at right angles , it shall ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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