The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 3
... isosceles triangle is that which has two sides equal : XXVI . A scalene triangle is that which has three unequal sides : XXVII . A right - angled triangle is that which has a right angle : XXVIII . An obtuse - angled triangle is that ...
... isosceles triangle is that which has two sides equal : XXVI . A scalene triangle is that which has three unequal sides : XXVII . A right - angled triangle is that which has a right angle : XXVIII . An obtuse - angled triangle is that ...
Página 9
... isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the ...
... isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the ...
Página 49
... isosceles . G E F To the line FD draw AG parallel to BC ; then FD meeting these parallel lines , makes the ex ... isosceles . B D 4. Construct a right - angled isosceles triangle the sum of the squares of whose three sides shall be equal ...
... isosceles . G E F To the line FD draw AG parallel to BC ; then FD meeting these parallel lines , makes the ex ... isosceles . B D 4. Construct a right - angled isosceles triangle the sum of the squares of whose three sides shall be equal ...
Página 52
... isosceles triangle , each of whose equal sides shall be double of the base . 2. If two circles cut each other , the line joining their points of intersection is bisected at right angles by the line joining their centres . 3. From every ...
... isosceles triangle , each of whose equal sides shall be double of the base . 2. If two circles cut each other , the line joining their points of intersection is bisected at right angles by the line joining their centres . 3. From every ...
Página 53
... base , the triangle is isosceles . 19. From a given point draw a line making equal angles with two given lines . 20. Through a given point draw a line , so F 3 BOOK I. 53 8. From two given points on the same side of ...
... base , the triangle is isosceles . 19. From a given point draw a line making equal angles with two given lines . 20. Through a given point draw a line , so F 3 BOOK I. 53 8. From two given points on the same side of ...
Términos y frases comunes
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