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" IF, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 26
by Robert Simson - 1806 - 518 pages
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...al,iect.— See " Euclid Practically Applied," Par! ' l.,Pr. 20,1. p. 84. " C PROP. 21. — THEOR. If from the ends of the side of a triangle there be drawn two st. » point within the triangle, these lines shall be less than the other ttco the triangle, but shall...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines BD,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...are greater than AB. Therefore any two sides, &e. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,...
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Guide to the Civil service

Henry White - 1864
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. 3. What is meant by a corollary? State and prove the corollaries to the proposition in which it is...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...not equal to AB ; therefore AC is greater than AB. PROPOSITION XXI. TIIEOR. If from the ends of one side of a triangle there be drawn two straight lines to a point within the triangle, these two straight lines are less than the two sides of the triangle, but contain a greater angle. Let the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...are greater than AB. Therefore, any two sides, &c. QED PROP. XXI.— THEOREM. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle; then these shall be less than the other two sides of the triangle, but shall contain a greater angle....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. If from, the ends of the side of a triangle there...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, O, the ends of the side BC, let the two straight lines BD,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. If from the ends of the side of a triangle there be...a point within the triangle, these. shall be less tKan the other two sides of the triangle, but thall contain a greater angle. ',air»t Let ABC be a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle, Let ABC\>ea triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. 3. What is meant by a corollary ? State and prove the corollaries to the proposition in which it is...
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