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" Cor. 1.) therefore all the angles of the triangles are equal to all the angles of the polygon together with four right angles : (i. ax. 1.) but all the angles at the bases of the triangles are greater than all the angles of the polygon, as has been proved... "
An elementary course of mathematics - Page 28
by Samuel Hunter Christie - 1847
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...to all the c angles of the polygon together with four right angles. But all the angles at the bafes of the triangles are greater than all the angles of...wherefore the remaining angles of the triangles, viz. thofe at the vertex, which contain the folid angle at A, are lefs than four right angles. Therefore...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...the an- 3*' *' gks of the polygon together with four tight angles. But all the angles at the bafes of the triangles are greater than all the angles of...Wherefore the remaining angles of the triangles, viz. thofe at the vertex, which contain the folid angle at A, are lefs than four right angles. Therefore...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...the an- 3*' *' gles of the polygon together with four right angles. But all the angles at the bafes of the triangles are greater than all the angles of...Wherefore the remaining angles of the triangles, viz. thofe at the verter, which contain the folid angle at A, are lefs than four right angles. Therefore...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...with four right angles. **, ', But all the angles at the tufes of the triangles are greater than aQ the angles of the polygon, as has been proved, wherefore the remaining angles of the triangles, viz. thofe at the vertex, which contain the folid angle at A, are lefs than four right angles. Therefore...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...equal to all the angles of the polygon together with four right angles. But all the angles at the bafes of the triangles are greater than all the angles of...wherefore the remaining angles of the triangles, viz. thofe at the vertex, which contain the folid angle at A, are lefs than four right angles. Therefore...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...all the angles at the bafes of the triangles are ~T~ greater than all the angles of the reftilineal, as has been proved. Wherefore, the remaining angles of the triangles, viz. thofe at the vertex, which contain the folid angle at A, are lefs than four right angles. Therefore...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...triangles are equal to all the angles of the po- 32- t lygon together with four right angles. But ail the angles at the bases of the triangles are greater...of the polygon, as has been proved. Wherefore the reuiuining angles of the triangles, viz. those at the vertex, which contain the solid angle at A, are...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...Corangles are equal to all the angles of the rectilineal figure, to- 32> 1gether with four right angles. But all the angles at the bases of the triangles are greater than all the angles of the rectilineal, as has been proved. Wherefore the remaining angles of the triangles, or those at the vertex,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...But all the angles at the bases of the triangles are greater than all the angles of the rectilineal, as has been proved. Wherefore, the remaining angles...triangles, viz. those at the vertex, which contain the soli'l angle at A, are less than four right angles. Therefore every solid angle, &e. O. ED Bb Otherwise....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...the triangles are equal to all the angles of the rectilineal figure, together with four right angles. But all the angles at the bases of the triangles are greater than all the angles of the rectilineal, as has been proved. Wherefore, the remaining angles of the triangles, viz. those at the...
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