Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry |
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Page 18
... centre of the circle ; the revolving line is called a radius ; and the curve line described by the moveable ... centre to the circumference are equal to one another . 21. A diameter of a circle is a straight line drawn through the cen ...
... centre of the circle ; the revolving line is called a radius ; and the curve line described by the moveable ... centre to the circumference are equal to one another . 21. A diameter of a circle is a straight line drawn through the cen ...
Page 20
... centre , at any distance from that centre . 4. That a straight line which meets one of two parallel straight lines may be produced till it meet the other . ED . 5. If there be two equal straight lines , and 20 ELEMENTS OF.
... centre , at any distance from that centre . 4. That a straight line which meets one of two parallel straight lines may be produced till it meet the other . ED . 5. If there be two equal straight lines , and 20 ELEMENTS OF.
Page 22
... centre A , at the distance AB , describe the circumference of the circle BCD ( 3 Postulate ) ; and from the centre B , at the distance BA , describe the circumference of the circle ACE . Then , because the circumference of each cir- cle ...
... centre A , at the distance AB , describe the circumference of the circle BCD ( 3 Postulate ) ; and from the centre B , at the distance BA , describe the circumference of the circle ACE . Then , because the circumference of each cir- cle ...
Page 23
... centre of the circle CGH , BC is equal to BG ( 20 Def . ) ; and because D is the centre of the circle GKL , DL is e- qual to DG . But DA , BD , parts of them , are equal ( 27 Def . ) ; therefore the remainder AL is equal to the ...
... centre of the circle CGH , BC is equal to BG ( 20 Def . ) ; and because D is the centre of the circle GKL , DL is e- qual to DG . But DA , BD , parts of them , are equal ( 27 Def . ) ; therefore the remainder AL is equal to the ...
Page 37
... centre F at the distance FD , describe the circle DKL ; and from the centre G at the distance GH , describe another cir- cle HLK . D K E F G H L A. B. C- The circle DLK will cut FH , because FD is less than FG and GH , that is , than FH ...
... centre F at the distance FD , describe the circle DKL ; and from the centre G at the distance GH , describe another cir- cle HLK . D K E F G H L A. B. C- The circle DLK will cut FH , because FD is less than FG and GH , that is , than FH ...
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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.