First Steps in Geometry: A Series of Hints for the Solution of Geometrical Problems with Notes on Euclid, Useful Working Propositions and Many ExamplesLongmans, Green, and Company, 1887 - 180 sider |
Inni boken
Side 16
... triangle , A B being equal to AC : produce A B to D , and join DC . Then shall DC be greater than B C. There is only one proposition in Euclid which deals with the inequality of two ... angles of a triangle being less than two right angles ( ...
... triangle , A B being equal to AC : produce A B to D , and join DC . Then shall DC be greater than B C. There is only one proposition in Euclid which deals with the inequality of two ... angles of a triangle being less than two right angles ( ...
Side 81
... two angles of the triangle AGC equal to two right angles , which is ... than the equal sides A B , DE , the angles C and F are necessarily acute ... less than the other pair of equal sides . In this case a relation holds important enough ...
... two angles of the triangle AGC equal to two right angles , which is ... than the equal sides A B , DE , the angles C and F are necessarily acute ... less than the other pair of equal sides . In this case a relation holds important enough ...
Side 84
... angles ad- jacent to this side equal to two given angles whose sum is less than two right angles . H O F FIG . 47 . B Let A ( Fig . 47 ) be the given line , B , C the given angles . Take E F equal to A , at E make the angle FED equal to the ...
... angles ad- jacent to this side equal to two given angles whose sum is less than two right angles . H O F FIG . 47 . B Let A ( Fig . 47 ) be the given line , B , C the given angles . Take E F equal to A , at E make the angle FED equal to the ...
Side 85
... triangle , and thus reduce the problem to Prop . 4. , by producing DC to E , and making the angle ECF equal to the angle A. For the three angles of the triangle are together ... less than one more remote ; and not more than two equal lines ...
... triangle , and thus reduce the problem to Prop . 4. , by producing DC to E , and making the angle ECF equal to the angle A. For the three angles of the triangle are together ... less than one more remote ; and not more than two equal lines ...
Side 88
... triangle ) , which has the required ele- ments . If B is less than A , the points H and G lie on the same side of E ( Prop . 6 ) , and by joining DH and DG we obtain two ... right angle , the two triangles DE H and DEG ( which are equal in ...
... triangle ) , which has the required ele- ments . If B is less than A , the points H and G lie on the same side of E ( Prop . 6 ) , and by joining DH and DG we obtain two ... right angle , the two triangles DE H and DEG ( which are equal in ...
Andre utgaver - Vis alle
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Ingen forhåndsvisning tilgjengelig - 2018 |
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Ingen forhåndsvisning tilgjengelig - 2013 |
Vanlige uttrykk og setninger
A B C D A B is equal ABCD angle ABC angle BA angle equal base bisector bisects the angle circle diagonals equal and parallel equal angles equal sides equal to DC equal to half equal to twice Euclid exterior angles given angle given line given point given straight line greater Hence hypotenuse intersect isosceles triangle KHGE lines bisecting lines drawn locus maxima and minima obtuse opposite sides parallelogram perpendicular point F problem produced proof Prop proposition quadrilateral R. A. PROCTOR rect rectangle A C rectangle contained respects Euc rhombus right angles right-angled triangle sides A B solution square on CD squares on A C straight line A B theorems trapezium triangle ABC twice the rectangle vertex vertical angle
Populære avsnitt
Side 80 - If two triangles have two sides of the one equal to two sides of the...
Side 144 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 175 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Side 136 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.