The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 4
... equilateral triangle is that which has three equal sides XXV . An isosceles triangle is that which has only two sides equal . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A right - angled triangle is that ...
... equilateral triangle is that which has three equal sides XXV . An isosceles triangle is that which has only two sides equal . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A right - angled triangle is that ...
Page 7
... shall at length meet upon that side on which are the angles " which are less than two right angles . " See the notes on Prop . xxix . of Book 1. Oct. Ed . 66 Recal PROP . I. PROBLEM . To describe an equilateral triangle BOOK I. - AXIOMS .
... shall at length meet upon that side on which are the angles " which are less than two right angles . " See the notes on Prop . xxix . of Book 1. Oct. Ed . 66 Recal PROP . I. PROBLEM . To describe an equilateral triangle BOOK I. - AXIOMS .
Page 8
... equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is re- quired to describe an equilateral triangle upon AB . From the centre A , at the * Pos- distance AB , describe * the tulate . circle ...
... equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is re- quired to describe an equilateral triangle upon AB . From the centre A , at the * Pos- distance AB , describe * the tulate . circle ...
Page 12
... equilateral tri- angle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend or are oppo- site to the equal angles , shall be equal to one another . Let ABC be a ...
... equilateral tri- angle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend or are oppo- site to the equal angles , shall be equal to one another . Let ABC be a ...
Page 13
... equilateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those ...
... equilateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole