The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 6
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
Page 8
... described upon the given straight line AB . Which was required to be done . iom . * 1 Post . * 1 . 1 . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the ...
... described upon the given straight line AB . Which was required to be done . iom . * 1 Post . * 1 . 1 . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the ...
Page 45
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . * * 30 . 1 . + Const . + Def . COR . - From this it is manifest how to a given straight line to apply a ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . * * 30 . 1 . + Const . + Def . COR . - From this it is manifest how to a given straight line to apply a ...
Page 46
... described upon the given straight line AB . Which was to be done . . COR . - Hence every parallelogram that has one ... described upon the side subtending the right angle , is equal to the squares described upon the sides which contain ...
... described upon the given straight line AB . Which was to be done . . COR . - Hence every parallelogram that has one ... described upon the side subtending the right angle , is equal to the squares described upon the sides which contain ...
Page 47
... described upon the side BC shall be equal to the squares described upon BA , AC . * On BC describe the square BDEC , and on * 46 . 1. ̧ BA , AC the squares GB , HC ; and through A G draw * AL parallel to BD , or CE , and join AD , * 31 ...
... described upon the side BC shall be equal to the squares described upon BA , AC . * On BC describe the square BDEC , and on * 46 . 1. ̧ BA , AC the squares GB , HC ; and through A G draw * AL parallel to BD , or CE , and join AD , * 31 ...
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