Harvard Examination PapersGinn and Heath, 1877 - 343 páginas |
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Página 158
... formula for the sum of the terms of an Arithmetical Progression . 9. Find the sum of the series 2 , 2 2 3 ' 9 ' to infinity . 10. How many arrangements can be made of the letters in the word Richmond , taking four letters in a set ? III ...
... formula for the sum of the terms of an Arithmetical Progression . 9. Find the sum of the series 2 , 2 2 3 ' 9 ' to infinity . 10. How many arrangements can be made of the letters in the word Richmond , taking four letters in a set ? III ...
Página 160
... formulas for the first term and the last . 7. In a Geometrical Progression the first term is 24 , and the fifth term is . Find the sum of the series to infinity . 8. Find the sixth term of W√ Vc 7 · bc 3ab 9. How many whole numbers of ...
... formulas for the first term and the last . 7. In a Geometrical Progression the first term is 24 , and the fifth term is . Find the sum of the series to infinity . 8. Find the sixth term of W√ Vc 7 · bc 3ab 9. How many whole numbers of ...
Página 168
... number of sides are similar . 6. Find the formula for the area of a circle in terms of the radius and the ratio of the circumference to the di- ameter . XI . 1. To how many right angles is the 168 EXAMINATION PAPERS .
... number of sides are similar . 6. Find the formula for the area of a circle in terms of the radius and the ratio of the circumference to the di- ameter . XI . 1. To how many right angles is the 168 EXAMINATION PAPERS .
Página 173
... formula to express that volume . + 4. Define similar polyhedrons . Prove that similar prisms , or pyramids , are to each other as the cubes of their alti- tudes . 5. Prove that if two spherical triangles on the same sphere , or on equal ...
... formula to express that volume . + 4. Define similar polyhedrons . Prove that similar prisms , or pyramids , are to each other as the cubes of their alti- tudes . 5. Prove that if two spherical triangles on the same sphere , or on equal ...
Página 180
... formulas for the sine and cosine of the sum and of the difference of two angles ; and deduce from these the formulas for the sine and cosine of the double of an angle and of the half of an angle . 9. What is the sine and cosine of 0 ...
... formulas for the sine and cosine of the sum and of the difference of two angles ; and deduce from these the formulas for the sine and cosine of the double of an angle and of the half of an angle . 9. What is the sine and cosine of 0 ...
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Términos y frases comunes
Acatalectic accent Active Adjective adverbs angle Aorist atque Binomial Theorem Cæsar cent Cicero circle Compare construction cosine Crasis cube root Dative decimals Decline Dipody Divide English equal Explain feet formulas fraction Genitive Give a synopsis Give an example Give the principal Give the rules given Grammar Greatest Common Divisor Greek Iambic Trimeter Infinitive Inflect Julius Cæsar Latin Least Common Least Common Multiple logarithms lowest terms marking the quantity mood Multiply Name nouns Optative Ovid participle Passive penults perpendicular plane plural polygons Prove quæ quam quod Reduce rivers SALLUST Second Aorist sides simplest form sine Singular Solve the equation SOPHOMORE QUESTIONS Subjunctive tangent tense Translate triangle verbs Vulgar Fraction words Write ἂν γὰρ δὲ εἰ ἐν ἔφη καὶ μὲν μὴ οἱ ὅτι οὐ οὐκ τὰ τε τὴν τὸ τὸν τοὺς τοῦτο τῷ τῶν ὡς
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Página 296 - Tu mihi, seu magni superas iam saxa Timavi, sive oram Illyrici legis aequoris (en erit umquam ille dies, mihi cum liceat tua dicere facta? en erit ut liceat totum mihi ferre per orbem sola Sophocleo tua carmina digna cothurno?
Página 109 - ... de la tyrannie. Ses grandes qualités, dont une seule eût pu immortaliser un autre prince, ont fait le malheur de son pays. Il n'attaqua jamais personne; mais il ne fut pas aussi prudent qu'implacable dans ses vengeances. Il a été le premier qui ait eu l'ambition d'être conquérant sans avoir l'envie d'agrandir ses États; il voulait gagner des empires pour les donner.
Página 109 - Suède, après avoir éprouvé ce que la prospérité a de plus grand, et ce que l'adversité a de plus cruel, sans avoir été amolli par l'une, ni ébranlé un moment par l'autre. Presque toutes ses actions, jusqu'à celles de sa vie privée et unie, ont été bien loin au-delà du vraisemblable. C'est peut-être le seul de tous les hommes, et jusqu'ici le seul de tous les rois, qui ait vécu sans...
Página 322 - ... uritur infelix Dido totaque vagatur urbe furens qualis coniecta cerva sagitta, quam procul incautam nemora inter Cresia fixit 70 pastor agens telis liquitque volatile ferrum nescius, illa fuga silvas saltusque peragrat Dictaeos, haeret lateri letalis harundo.
Página 300 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 109 - Sa passion pour la gloire, pour la guerre , et pour la vengeance, . l'empêcha d'être bon politique, qualité sans laquelle on n'a jamais vu de conquérant. Avant la bataille et après la victoire, il n'avait que de la modestie; après la défaite , que de la fermeté : dur pour les autres comme pour lui-même, comptant pour rien la peine et la vie de ses sujets , aussi bien que la sienne; homme unique plutôt que grand homme; admirable plutôt qu'à imiter. Sa vie doit apprendre aux rois combien...