Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry |
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Page 19
... contained by three straight lines . 25. Quadrilateral figures by four straight lines . 26. Multilateral figures , or ... rectangle is that which has all its angles right angles , but has not all its sides equal . 35. A parallelogram is ...
... contained by three straight lines . 25. Quadrilateral figures by four straight lines . 26. Multilateral figures , or ... rectangle is that which has all its angles right angles , but has not all its sides equal . 35. A parallelogram is ...
Page 65
... contained by any two of the straight lines which are about one of the right angles . Thus , the right angled parallelogram AC is called the rectangle contained by AD and DC , or by AD and AB , & c . For the sake of brevity , instead of ...
... contained by any two of the straight lines which are about one of the right angles . Thus , the right angled parallelogram AC is called the rectangle contained by AD and DC , or by AD and AB , & c . For the sake of brevity , instead of ...
Page 66
... rectangle ABCD be each divided into inches , and if lines be drawn through all the points of divi- sion parallel to ... contained in one side of the rectangle by the number of linear inches contained in the other side . For there will be ...
... rectangle ABCD be each divided into inches , and if lines be drawn through all the points of divi- sion parallel to ... contained in one side of the rectangle by the number of linear inches contained in the other side . For there will be ...
Page 68
... rectangle contained by the two lines is equal to the sum of the rectangles contained by the whole line and the several parts of the divided line . Let A and BC be two straight lines , and let BC be divided into any parts in the points D ...
... rectangle contained by the two lines is equal to the sum of the rectangles contained by the whole line and the several parts of the divided line . Let A and BC be two straight lines , and let BC be divided into any parts in the points D ...
Page 69
... rectangle contained by the whole line and one of the parts is equal to the square of that part together with the rectangle contained by the two parts . Let the line AB be divided into two parts in the point C ; the rectangle AB.BC is ...
... rectangle contained by the whole line and one of the parts is equal to the square of that part together with the rectangle contained by the two parts . Let the line AB be divided into two parts in the point C ; the rectangle AB.BC is ...
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair No preview available - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair No preview available - 2023 |
Common terms and phrases
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
Popular passages
Page 36 - Any two sides of a triangle are together greater than the third side.
Page 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.
Page 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...
Page 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.
Page 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Page 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.
Page 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...
Page 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.