The Elements of EuclidLongmans, Green and Company, 1866 - 376 sider |
Inni boken
Resultat 1-5 av 59
Side 10
... Hence every equilateral triangle is also PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subten l , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a ...
... Hence every equilateral triangle is also PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subten l , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a ...
Side 11
... Hence every equiangular triangle is also equi- lateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles which have their sides terminated at one extremity of the base equal to one ...
... Hence every equiangular triangle is also equi- lateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles which have their sides terminated at one extremity of the base equal to one ...
Side 45
... Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . In any right - angled triangle , the square which is described upon the side subtending the right angle is equal to the squares ...
... Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . In any right - angled triangle , the square which is described upon the side subtending the right angle is equal to the squares ...
Side 48
... hence the angle AED is double of AFE , and the angle AEF is thrice AFE ; that is , the triangle AFE has the given vertical angle BAC , and one of its angles at the base FE thrice the other . 2. Find a point D in the base BC of a ...
... hence the angle AED is double of AFE , and the angle AEF is thrice AFE ; that is , the triangle AFE has the given vertical angle BAC , and one of its angles at the base FE thrice the other . 2. Find a point D in the base BC of a ...
Side 49
... hence the side AF is equal to the side AE , and the triangle EAF is isosceles . B D 4. Construct a right - angled isosceles triangle the sum of the squares of whose three sides shall be equal to the sum of the squares of the sides of a ...
... hence the side AF is equal to the side AE , and the triangle EAF is isosceles . B D 4. Construct a right - angled isosceles triangle the sum of the squares of whose three sides shall be equal to the sum of the squares of the sides of a ...
Vanlige uttrykk og setninger
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore