The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 14
... drawn from the defective defini- tion of a straight line , which he has substituted for Enelid's . Exercises . - 1 . From the extremity of a given straight line , to draw a straight line which shall make a right angle with it . 2. In a ...
... drawn from the defective defini- tion of a straight line , which he has substituted for Enelid's . Exercises . - 1 . From the extremity of a given straight line , to draw a straight line which shall make a right angle with it . 2. In a ...
Σελίδα 162
... draw from the point A a straight line perpendicular to the plane B H. In the plane B H draw any straight line B C , and in the plane passing through BC and A , from the point A draw ( I. 12 ) AD perpendicular to BC . If AD be also ...
... draw from the point A a straight line perpendicular to the plane B H. In the plane B H draw any straight line B C , and in the plane passing through BC and A , from the point A draw ( I. 12 ) AD perpendicular to BC . If AD be also ...
Σελίδα 163
... drawn perpendicular to it . Q. E. F. PROP . XII . PROBLEM . To draw a straight line at right angles to a given plane , from a point given in the plane . Let A be the given point in the plane . It is required to draw a straight line from ...
... drawn perpendicular to it . Q. E. F. PROP . XII . PROBLEM . To draw a straight line at right angles to a given plane , from a point given in the plane . Let A be the given point in the plane . It is required to draw a straight line from ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore