Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
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Página 16
... extremities of a line are points ; and the in- tersection of two lines is a point . 3. A straight line is that which every where tends the same way . See Note . ED . 4. Cor . Hence a straight line is the least distance between two ...
... extremities of a line are points ; and the in- tersection of two lines is a point . 3. A straight line is that which every where tends the same way . See Note . ED . 4. Cor . Hence a straight line is the least distance between two ...
Página 18
... extremities , which is fixed , until it arrive at the place from which it began to move , the surface described by ... extremity of the revolving line is called the circumference of the circle . ED . 20. Cor . Hence a circle is a plane ...
... extremities , which is fixed , until it arrive at the place from which it began to move , the surface described by ... extremity of the revolving line is called the circumference of the circle . ED . 20. Cor . Hence a circle is a plane ...
Página 44
... extremities of two equal and parallel straight lines are also equal and parallel . Let AB , CD be two equal and parallel lines , and let the A lines AC , BD join their cor- responding extremities ; then AC , BD are also equal and ...
... extremities of two equal and parallel straight lines are also equal and parallel . Let AB , CD be two equal and parallel lines , and let the A lines AC , BD join their cor- responding extremities ; then AC , BD are also equal and ...
Página 47
... extremities by the lines BF , CH ; therefore BE , CH are equal and parallel ( Prop . 33 ) ; therefore EBCH is a paral . and it is equal to ABCD ( Prop . 35 ) . But the paral . EFGH is equal to EBCH ; therefore also the paral . ABCD is ...
... extremities by the lines BF , CH ; therefore BE , CH are equal and parallel ( Prop . 33 ) ; therefore EBCH is a paral . and it is equal to ABCD ( Prop . 35 ) . But the paral . EFGH is equal to EBCH ; therefore also the paral . ABCD is ...
Página 83
... extremities of the arch . 5. A segment of a circle is the figure contained by a straight line and the arch which it cuts off , or , it is the space included between an arch and its chord . ED . * Numbers 1 , 2 , 3 , 4 , 7 , are ...
... extremities of the arch . 5. A segment of a circle is the figure contained by a straight line and the arch which it cuts off , or , it is the space included between an arch and its chord . ED . * Numbers 1 , 2 , 3 , 4 , 7 , are ...
Otras ediciones - Ver todas
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Términos y frases comunes
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Pasajes populares
Página 36 - Any two sides of a triangle are together greater than the third side.
Página 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Página 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Página 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Página 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Página 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Página 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Página 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.