The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 7
... Prop . xxix . of Book 1. Oct. Ed . 66 Recal PROP . I. PROBLEM . To describe an equilateral triangle BOOK I. - AXIOMS . 7.
... Prop . xxix . of Book 1. Oct. Ed . 66 Recal PROP . I. PROBLEM . To describe an equilateral triangle BOOK I. - AXIOMS . 7.
Page 8
... PROP . I. PROBLEM . To describe an 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 ...
... PROP . I. PROBLEM . To describe an 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 ...
Page 9
... PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C ... PROP . IV . THEOREM . If two triangles have BOOK I. PROP . III . 9.
... PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C ... PROP . IV . THEOREM . If two triangles have BOOK I. PROP . III . 9.
Page 11
... PROP . V. THEOR . The angles at the base of an 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 ...
... PROP . V. THEOR . The angles at the base of an 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 ...
Page 13
... 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 which are ...
... 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 which are ...
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