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 24
... triangle be produced , the exterior an- gle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the interior op- posite ...
... triangle be produced , the exterior an- gle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the interior op- posite ...
Side 25
... triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is greater than the side AB ; the angle ABC , is also greater than the angle BCA . Because AC is greater than AB , make ( 3. 1. ) AD equal to AB ...
... triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is greater than the side AB ; the angle ABC , is also greater than the angle BCA . Because AC is greater than AB , make ( 3. 1. ) AD equal to AB ...
Side 35
... triangle are equal to two right angles . B A C D F Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles ...
... triangle are equal to two right angles . B A C D F Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles ...
Side 36
... ABC , with its adjacent exterior ABD , is equal ( 13. 1. ) to two right angles ; therefore all the interior ... triangle ABC to the triangle BCD , and the other angles to the other angles , ( 4. 1. ) each to each , to which the equal ...
... ABC , with its adjacent exterior ABD , is equal ( 13. 1. ) to two right angles ; therefore all the interior ... triangle ABC to the triangle BCD , and the other angles to the other angles , ( 4. 1. ) each to each , to which the equal ...
Side 38
... triangle ABC is equal ( 4. 1. ) to the triangle BCD , and . the diameter BC divides the parallelogram ACDB into two equal parts . Q. E. D. PROP . XXXV . THEOR . PARALLELOGRAMS upon the same base , and between the same parallels , are ...
... triangle ABC is equal ( 4. 1. ) to the triangle BCD , and . the diameter BC divides the parallelogram ACDB into two equal parts . Q. E. D. PROP . XXXV . THEOR . PARALLELOGRAMS upon the same base , and between the same parallels , are ...
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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