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Página 18
... base , and the intersection of the other two sides is called the vertex . When two of the sides of a triangle have been mentioned , the remaining side is often called the base . Def . 33. The side of a right - angled triangle which is ...
... base , and the intersection of the other two sides is called the vertex . When two of the sides of a triangle have been mentioned , the remaining side is often called the base . Def . 33. The side of a right - angled triangle which is ...
Página 19
... base BC equal to the base EF , and the angle B to the angle E , and the angle C to the angle F , and the area ABC to the area DEF . Proof . If the point A be placed on the point D , and the line AB were placed along DE , then because ...
... base BC equal to the base EF , and the angle B to the angle E , and the angle C to the angle F , and the area ABC to the area DEF . Proof . If the point A be placed on the point D , and the line AB were placed along DE , then because ...
Página 20
... base BC in X. Then in the triangles BAX , CAX we have BA = AC , AX common , ( Ax . 4. ) ( Hyp . ) and the included angle BAX = the included angle CAX . ( Hyp . ) Therefore the triangles are equal in all respects , ( Th . 5. ) that is ...
... base BC in X. Then in the triangles BAX , CAX we have BA = AC , AX common , ( Ax . 4. ) ( Hyp . ) and the included angle BAX = the included angle CAX . ( Hyp . ) Therefore the triangles are equal in all respects , ( Th . 5. ) that is ...
Página 22
... base of a triangle are equal to one another , the triangle is isosceles * . Part . En . Let the two angles B and C of the triangle ABC be equal ; it is required to prove that AB = AC . Proof . If the triangle were taken up and re ...
... base of a triangle are equal to one another , the triangle is isosceles * . Part . En . Let the two angles B and C of the triangle ABC be equal ; it is required to prove that AB = AC . Proof . If the triangle were taken up and re ...
Página 27
... bases are unequal , the base of that which has the greater angle being greater than the base of the other ↑ . Part . En . Let ABC , DEF be two triangles , having AB = DE , AC = DF , but the included angle BAC greater than the included ...
... bases are unequal , the base of that which has the greater angle being greater than the base of the other ↑ . Part . En . Let ABC , DEF be two triangles , having AB = DE , AC = DF , but the included angle BAC greater than the included ...
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Términos y frases comunes
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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