Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
Dentro del libro
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Página 20
... opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite to the right angle is called the hypothenuse ; and of the other two sides one is called the base and the other the ...
... opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite to the right angle is called the hypothenuse ; and of the other two sides one is called the base and the other the ...
Página 24
... sides will be equal ; and their sur- faces will be equal ; and their other angles to which the equal sides are opposite will be equal , each to each . * Let ABC , DEF be two triangles , which have the side AB equal to DE , and AC to DF ...
... sides will be equal ; and their sur- faces will be equal ; and their other angles to which the equal sides are opposite will be equal , each to each . * Let ABC , DEF be two triangles , which have the side AB equal to DE , and AC to DF ...
Página 25
... side BC equal to EF ; then the other sides will be equal , each to each , namely , AB to DE , and AC to DF ; and the ... opposite to them are equal . " For suppose the two angles at the base of each triangle to be- come equal to each other , ...
... side BC equal to EF ; then the other sides will be equal , each to each , namely , AB to DE , and AC to DF ; and the ... opposite to them are equal . " For suppose the two angles at the base of each triangle to be- come equal to each other , ...
Página 34
... side of a straight line AB passing through the point of concourse E of any ... opposite angles will be equal . C Let the two straight lines AB , CD cut ... opposite an- gles AEC , BED are equal , and also the opposite angles CEB , AED are ...
... side of a straight line AB passing through the point of concourse E of any ... opposite angles will be equal . C Let the two straight lines AB , CD cut ... opposite an- gles AEC , BED are equal , and also the opposite angles CEB , AED are ...
Página 35
... opposite angles . Let ABC be a triangle and let one side BC be produced to D ; the exterior angle ACD is greater than either of the inte- rior opposite angles CBA , BAC . Bisect AC in E ( 10. 1. ) ; join BE , and produce it to F ; make ...
... opposite angles . Let ABC be a triangle and let one side BC be produced to D ; the exterior angle ACD is greater than either of the inte- rior opposite angles CBA , BAC . Bisect AC in E ( 10. 1. ) ; join BE , and produce it to F ; make ...
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.