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 Bøker Bok Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. The first three books of Euclid's Elements of geometry, with theorems and ... - Side 17
av Euclid, Thomas Tate - 1849 - 108 sider
Uten tilgangsbegrensning - Om denne boken ## Class lessons on Euclid

Marianne Nops - 1882
...is greater than L ABC. Prop. 17. A simple theorem follows this somewhat intricate demonstration : ' Any two angles of a triangle are together less than two right angles.' To show this we must compare them with two angles which either are or are together equal to two right...
Uten tilgangsbegrensning - Om denne boken ## The papers set at the professional preliminary examination

College of preceptors - 1882
...extremity of the base, and have likewise equal those sides which are terminated at the other extremity. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line fall on two parallel straight lines, it shall make the alternate angles equal...
Uten tilgangsbegrensning - Om denne boken ## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...on the base must fall without the triangle, towards the side on which is the obtuse angle. PROP. 17. THEOR. Any two angles of a triangle are together less than two right angles. Given A ABC. To prove any two of its angles, as LB + L ACB, < 2 Lr-s. Produce BC to D. •: L ACD >...
Uten tilgangsbegrensning - Om denne boken ## Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...is produced, the exterior angle is greater than either of the interior opposite angles. THEOR. 10. Any two angles of a triangle are together less than two right angles. COR. 1. If a triangle has one right angle or obtuse angle, its remaining angles are acute. COR. 2....
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...or theorem; as for example, To describe an equilateral triangle on a given finite straight line, or Any two angles of a triangle are together less than two right angles. After the general enunciation follows the discussion of the proposition. First, the enunciation is...
Uten tilgangsbegrensning - Om denne boken ## Theories and Criticisms: Being Brief Essays on Metaphysical and Other Subjects

J. McD. Scott - 1883 - 94 sider
...shall, if produced, meet upon that side. This, it will be seen, is the converse of the proposition, that any two angles of a triangle are together, *less than two right angles. Neither postulate nor axiom is needed but once ; namely, to prove that lines which are parallel to...
Uten tilgangsbegrensning - Om denne boken ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...given line ; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angleg. c jo Let ABC be any A . Then must any two of its L s be together less than two rt. L s. Produce...
Uten tilgangsbegrensning - Om denne boken ## The elements of plane geometry, Volum 1

Mathematical association - 1884
...of the angles of the triangle FBC is equal to the sum of the angles of the triangle ABC. TIIKOR. 10. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle : then shall any two of its angles be together less than two right angles. Produce BC to...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Plane Geometry ...

...of the angles of the triangle FBC is equal to the sum of the angles of the triangle ABC. THROB. 10. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle : then shall any two of its angles be together less than two right angles. Produce BC to...
Uten tilgangsbegrensning - Om denne boken ## Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884
...SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XVII. Any two angles of a triangle are together less than two right angles. Let be any triangle. Then any two of its angles together shall be less than two right angles. Produce any...
Uten tilgangsbegrensning - Om denne boken