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 |
Dentro del libro
Resultados 1-5 de 18
Página 25
... vertical angle . Draw B P M FIG . 12 . A M perpendicular to the assumed line DE ; then the angle M AD is equal to the angle M A E , and also DM is equal to ME . Now let us consider whether this construction affords us any hints . First ...
... vertical angle . Draw B P M FIG . 12 . A M perpendicular to the assumed line DE ; then the angle M AD is equal to the angle M A E , and also DM is equal to ME . Now let us consider whether this construction affords us any hints . First ...
Página 27
... angles PCA and QC B , as they stand , is not A FIG . 13 . E F readily applicable to our purposes , to produce either PC or QC , in order to see whether the vertical angle either of PCA or QCB might be more serviceable to us . Produce PC ...
... angles PCA and QC B , as they stand , is not A FIG . 13 . E F readily applicable to our purposes , to produce either PC or QC , in order to see whether the vertical angle either of PCA or QCB might be more serviceable to us . Produce PC ...
Página 28
... angles to QE , the triangles CFQ and CFE are equal in all respects . Therefore , the angle QCF is equal to the angle ECF . But ECF is equal to the vertical angle PCA . Therefore the angle QCF is equal to the angle PCA . It is an ...
... angles to QE , the triangles CFQ and CFE are equal in all respects . Therefore , the angle QCF is equal to the angle ECF . But ECF is equal to the vertical angle PCA . Therefore the angle QCF is equal to the angle PCA . It is an ...
Página 36
... angle PH L. This is obvi- ously the case since the angle C , LH is equal to the angle C , H L ( Euc . I. , 5 ) . Or we might have noticed that the angle LCE is equal to the vertical angle PCA ( Euc . I. , 15 ) and therefore ( hyp . ) to ...
... angle PH L. This is obvi- ously the case since the angle C , LH is equal to the angle C , H L ( Euc . I. , 5 ) . Or we might have noticed that the angle LCE is equal to the vertical angle PCA ( Euc . I. , 15 ) and therefore ( hyp . ) to ...
Página 49
... angle A. Now , assuming for the moment that A FMN is such a line , we see that the triangles A NL , ANK are equal in ... vertical angle . Let A B ( Fig . 26 ) be the given base , C the given angle . and Draw from A straight lines , A D ...
... angle A. Now , assuming for the moment that A FMN is such a line , we see that the triangles A NL , ANK are equal in ... vertical angle . Let A B ( Fig . 26 ) be the given base , C the given angle . and Draw from A straight lines , A D ...
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.