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 ix
... square on half their sum , or the rectangle under the sum and difference of two lines is equal to the difference between their squares . Cor . 34. The sum of the squares on two lines is equal to twice the square on half their sum ...
... square on half their sum , or the rectangle under the sum and difference of two lines is equal to the difference between their squares . Cor . 34. The sum of the squares on two lines is equal to twice the square on half their sum ...
Página ix
... square of the radius , 46 . ART . 6 . ment , 47 . ART . 7. The sine of an angle is equal to half the chord of twice the corresponding arch , ibid . ART . 8. The rectangle under the radius and the sine of twice an angle is equal to twice the ...
... square of the radius , 46 . ART . 6 . ment , 47 . ART . 7. The sine of an angle is equal to half the chord of twice the corresponding arch , ibid . ART . 8. The rectangle under the radius and the sine of twice an angle is equal to twice the ...
Página 17
... twice the rectangle of BC , CD ; that is , the square of AB is greater than the squares of AC , CB , by twice the rectangle of BC , CD : therefore- " In an obtuse - angled triangle , " & c . Q.E.D. PROPOSITION 13. - THEOREM . In every ...
... twice the rectangle of BC , CD ; that is , the square of AB is greater than the squares of AC , CB , by twice the rectangle of BC , CD : therefore- " In an obtuse - angled triangle , " & c . Q.E.D. PROPOSITION 13. - THEOREM . In every ...
Página xviii
... twice the rectangle contained by the segments . THEOREM 52. [ Euc . II . 7. ] If a straight line is divided externally at any point , the square on the given line is equal to the sum of the squares on the two segments diminished by twice ...
... twice the rectangle contained by the segments . THEOREM 52. [ Euc . II . 7. ] If a straight line is divided externally at any point , the square on the given line is equal to the sum of the squares on the two segments diminished by twice ...
Página 13
... rectangle of the whole line and one of the parts will be equal to the square of the same part , and the rectangle ... Twice the whole line multiplied by one of the parts , will be equal to twice that part squared , more twice the same ...
... rectangle of the whole line and one of the parts will be equal to the square of the same part , and the rectangle ... Twice the whole line multiplied by one of the parts , will be equal to twice that part squared , more twice the same ...
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.