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 28by Samuel Hunter Christie - 1847Full view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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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