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 Corrected |
From inside the book
Results 1-5 of 100
Page 11
... angles are at one point B , any one of ' them is expressed by three letters , of which the letter that is at the ... right angle : and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that ...
... angles are at one point B , any one of ' them is expressed by three letters , of which the letter that is at the ... right angle : and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that ...
Page 11
... right angle . XXVIII . An obtuse - angled triangle , is that which has an obtusele . XXIX . An acute - angled triangle , is that which has three acute angles ... angles right angles . XXXI . An oblong , is that which has all its angles right ...
... right angle . XXVIII . An obtuse - angled triangle , is that which has an obtusele . XXIX . An acute - angled triangle , is that which has three acute angles ... angles right angles . XXXI . An oblong , is that which has all its angles right ...
Page 12
... right angles are equal to one another . XII . " If a straight line meet two straight lines , so as to make the two " interior angles on the same side of it taken together less " than two right angles , these straight lines being ...
... right angles are equal to one another . XII . " If a straight line meet two straight lines , so as to make the two " interior angles on the same side of it taken together less " than two right angles , these straight lines being ...
Page 20
... 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 given in it : it is required to draw a straight line from the point C at right angles to AB . * F Take any point D ...
... 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 given in it : it is required to draw a straight line from the point C at right angles to AB . * F Take any point D ...
Page 21
... angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is called a perpendicular to it ; therefore from the given point C a perpendicular CH has been drawn to the given straight ...
... angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is called a perpendicular to it ; therefore from the given point C a perpendicular CH has been drawn to the given straight ...
Other editions - View all
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2018 |
Common terms and phrases
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