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 Bøker Bok 81–90 av 196 på The areas of two triangles which have an angle of the one equal to an angle of the... The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw... Elements of Geometry and Trigonometry - Side 86
av Adrien Marie Legendre - 1836 - 359 sider
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry

George Albert Wentworth - 1881 - 250 sider
...squares on the diagonals. GEOMETRY. — BOOK IV. PROPOSITION XIII. THEOREM. 3-41. Two triangles having an angle of the one equal to an angle of the other are to each other an the products of the sides including the equal angles. Let the triangles ABC and...
Uten tilgangsbegrensning - Om denne boken ## Examination Papers for Science Schools and Classes

...the ratio of AN to NB is the duplicate of the ratio of AM to MB. 2. If two triangles of equal area have an angle of the one equal to an angle of the other, prove that the sides about the equal angles are reciprocally proportional. 3. Shew how to divide a...
Uten tilgangsbegrensning - Om denne boken ## Syllabus of plane geometry, books 1-3, corresponding to Euclid ..., Bøker 1-6

Mathematical association - 1883
...two adjoining sides of the one respectively equal to two adjoining sides of the other, and likewise an angle of the one equal to an angle of the other; the parallelograms are identically equal. [By Superposition.] COR. Two rectangles are equal, if two...
Uten tilgangsbegrensning - Om denne boken ## The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - 155 sider
...NAM equal to SB. Draw AO parallel to BC. ANC = ACN = CAO. ANC = CBA + BAN. Complete the proof. 24. Two triangles which have an angle of the one equal to an angle of the other, are to each other as the products of the sides in- _ eluding the equal angles. See Theo. VII. BAC :...
Uten tilgangsbegrensning - Om denne boken ## The elements of plane geometry, Volum 1

Mathematical association - 1884
...two adjoining: sides of the one respectively equal to two adjoining sides of the other, and likewise an ang:le of the one equal to an angle of the other ; the parallelograms are identically equal. Let ABCD, EFGH be two parallelograms having the angle ABC...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Plane Geometry ...

...two adjoining sides of the one respectively equal to two adjoining' sides of the other, and likewise an angle of the one equal to an angle of the other ; the parallelograms are identically equal. Let ABCD, EFGH be two parallelograms having the angle ABC...
Uten tilgangsbegrensning - Om denne boken ## The Common Sense of the Exact Sciences

William Kingdon Clifford - 1885 - 271 sider
...proposition about parallel lines.1 The first of these deductions will now show us that if two triangles have an angle of the one equal to an angle of the other and the sides containing these angles respectively equal, they must be equal in all particulars. For if we take up one of the...
Uten tilgangsbegrensning - Om denne boken ## Euclid and His Modern Rivals

Lewis Carroll - 1885 - 275 sider
...have two adjacent sides of the one respectively equal to two adjacent sides of the other, and likewise an angle of the one equal to an angle of the other ; the Parallelograms are identically equal.' This might be a useful exercise to set ; but really it...
Uten tilgangsbegrensning - Om denne boken ## CHAUVENETS TREATISE ON ELEMENTARY GEOMETRY

W. E. BYERLY - 1887
...B'C' A'B" hence AD BC A'D' X B'C' and we have ABC A' B' C' EXERCISE. Theorem. — Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Suggestion. Let ADE and...
Uten tilgangsbegrensning - Om denne boken ## A Text-book of Geometry

George Albert Wentworth - 1888 - 386 sider
...other angular points of the polygon. D AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 374. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Let the triangles ABC and...
Uten tilgangsbegrensning - Om denne boken