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 páginas |
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Página 6
... manner if , in a deduction , mention is made of a circle inscribed within , or circumscribed without , a triangle , we shall obtain a far more satis- factory figure by drawing the circle first , and then forming a triangle round it or ...
... manner if , in a deduction , mention is made of a circle inscribed within , or circumscribed without , a triangle , we shall obtain a far more satis- factory figure by drawing the circle first , and then forming a triangle round it or ...
Página 18
... It is an obvious resource to produce B A to A F , making A F equal to A C , so that B F is equal to the sum of the lines BA , AC ; and in like manner to produce BD to G , making D G equal to DC , so that BG is 18 GEOMETRICAL PROBLEMS .
... It is an obvious resource to produce B A to A F , making A F equal to A C , so that B F is equal to the sum of the lines BA , AC ; and in like manner to produce BD to G , making D G equal to DC , so that BG is 18 GEOMETRICAL PROBLEMS .
Página 37
... manner . Take as an instance his treatment of the famous pons asinorum . In dealing with this , as with all other propositions , he confines himself entirely to constructions which he has shown to be possible . Therefore , the following ...
... manner . Take as an instance his treatment of the famous pons asinorum . In dealing with this , as with all other propositions , he confines himself entirely to constructions which he has shown to be possible . Therefore , the following ...
Página 38
... manner DBC coincides with GHL ; but , by our supposition , BCE is equal to G H L. Therefore DBC is equal to BCE . Or , we may produce A B and AC in Fig . 17 , and Here we assume as axiomatic the property which Simpson has attempted to ...
... manner DBC coincides with GHL ; but , by our supposition , BCE is equal to G H L. Therefore DBC is equal to BCE . Or , we may produce A B and AC in Fig . 17 , and Here we assume as axiomatic the property which Simpson has attempted to ...
Página 50
... manner with respect to B as G , H , and K with respect to A. It is already clear that a circle passing through or There is no problem in Euclid which shows us how to do this , but of course there is no difficulty in the matter . Among ...
... manner with respect to B as G , H , and K with respect to A. It is already clear that a circle passing through or There is no problem in Euclid which shows us how to do this , but of course there is no difficulty in the matter . Among ...
Otras ediciones - Ver todas
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Vista de fragmentos - 1888 |
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Sin vista previa disponible - 2018 |
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Sin vista previa disponible - 2013 |
Términos y frases comunes
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
Pasajes populares
Página 80 - If two triangles have two sides of the one equal to two sides of the...
Página 144 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 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.
Página 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.