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 Boeken Boek 61 - 70 van 193 over If two triangles have one angle of the one equal to one angle of the other and the.... If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Pagina 236
door John Keill - 1782 - 399 pagina’s
Volledige weergave - Over dit boek ## Public education: as affected by the minutes of the committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 pagina’s
...triangles on each side of it arc similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms...
Volledige weergave - Over dit boek ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pagina’s
...proportional db is found. Which was to done. PROPOSITION XIV. — THEOREM. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one...
Volledige weergave - Over dit boek ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...equiangular to the triangle DEF. Wherefore, if the sides, etc. QED PROPOSITION VI. THEOR. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have...
Volledige weergave - Over dit boek ## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...their sides about this pair of equal angles reciprocally proportional And if two parallelograms, which have one angle of the one equal to one angle of the other, have the sides about this pair of equal angles reciprocally proportional: then they shall be equal...
Volledige weergave - Over dit boek ## National Society's Monthly Paper

1855
...the hase shall have the same ratio which the other sides of thi; triangle have. 2. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles bhall be equiangular, and shall have...
Volledige weergave - Over dit boek ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...parallels passes through the extremities of all the parallels. PROP VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about another angle in each, proportionals ; and if the remaining angle in each be of...
Volledige weergave - Over dit boek ## The Educational record, with the proceedings at large of the British and ...

...are due to the eighteenth century? HIGHER MATHEMATICS AND MATHEMATICAL PHfSÏCg. 1. If two triangles have one angle of the one equal to one angle of the other atid the sides "aboiift two other angles proportional ; then if each of the remaining angles be less...
Volledige weergave - Over dit boek ## The Quarterly Journal of Pure and Applied Mathematics

1871
...the proposition and reduces it to a case of ambiguous equality. Let the triangles ABC, DEF (fig. 9) have one angle of the one equal to one angle of the other; namely, L ВАС =¿ DEF, and the sides about two other angles ABC, EDF proportionals, so that AB :...
Volledige weergave - Over dit boek ## The Calendar of King's College, London

...and the angle in a segment less than a semicircle is greater than a right angle. 9. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have...
Volledige weergave - Over dit boek ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pagina’s
...the angles at the base double of the third angle. 8 DIRECT COMMISSIONS. 2. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. Show also how this follows from...
Volledige weergave - Over dit boek